Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.
B = E
Answers
B = E is solely not possible to prove that triangle △ABC≅△DEF with any congruency condition so the correct option is (D) NOT.
What do we mean by the congruency of triangles?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.The triangle congruence criteria are as follows:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Hypotenuse-Leg, right angle)For the given figure it is said that B=E and it is solely not possible to prove that △ABC≅△DEF with any congruency condition.
Therefore, B = E is solely not possible to prove that triangle △ABC≅△DEF with any congruency condition so the correct option is (D) NOT.
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The correct question is given below:
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similarly, then choose NOT.
B = E
Options:
(A) AA
(B) SAS
(C) SSS
(D) NOT
Related Questions
What is the equation of the line that passes through the point (-6,-3) and has a slope of -1/6?
Answers
Answer:
y = (-1/6)x - 4
Step-by-step explanation:
Line equations are usually expressed in the following format:
y = mx + c
Where m is the gradient (slope), and c is the y-intercept.
We can fill in the value of m right away as we are given it in the question:
y = (-1/6)x + c
And we are given the point (-6,-3), so we can fill in the values for x and y, in order to find the value of c:
-3 = (-1/6)(-6) + c
Rearrange and simplify this:
-3 = 1 + c
c = -4
Finally, substitute the value of c back into the original equation to get the final equation of the line:
y = (-1/6)x - 4
Sasha purchased a pair of jeans for 40% off of $75. How much did she pay for the jeans
Answers
Answer:
$45
Step-by-step explanation:
100% = $75
100% - 40% = 60% (discounted price)
60% = 0.6
0.6 x 75 = 45
60% = $45 (discounted price)
10% of 75 is 7.5, right because you shifted the decimal point so multiply 7.5 by 6 and you end up with 45
Suppose the equation for line A is y = 6/5 x - 10 Line A is parallel to line B, which is perpendicular to line C. If line D is perpendicular to line C and perpendicular to line E, what is the slope of line E? Justify your conclusion.
Answers
If slopes of the given lines are solved and observed, we get the slope of line E is [tex]m_{E}[/tex] = [tex]\frac{-5}{6}[/tex]
As per question statement, the equation for line A is [tex]y = \frac{6x}{5} - 10[/tex] Line A is parallel to line B, which is perpendicular to line C. The line D is perpendicular to line C and perpendicular to line E.
Before solving this question, we need to know about some basic formulas and concepts of equation for a line.
If Lines are parallel, their slopes are equal and if lines are perpendicular, the product of their slopes is -1.
i.e., if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are slopes of two lines then if,
[tex]m_{1} = m_{2}[/tex] then lines are parallel
Now slope of line A can be found out by formula [tex]y=mx+c[/tex] hence slope of line A [tex]m_{A}[/tex]= [tex]\frac{6}{5}[/tex]
Line B is parallel to A so, [tex]m_{B}[/tex] = [tex]\frac{6}{5}[/tex]
Line C is perpendicular to B so [tex]m_{C} * m_{B} = -1\\m_{C} = \frac{-5}{6}[/tex]
Line D is perpendicular to C so [tex]m_{D} *m_{C} = -1\\m_{D} = \frac{6}{5}[/tex]
Line E is perpendicular to D hence [tex]m_{E} * m_{D} = -1\\m_{E} = \frac{-5}{6}[/tex]
Therefore the slope of line E is [tex]\frac{-5}{6}[/tex]
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Can you solve please 8=2k-8-6k
Answers
Answer:
k = -4
Step-by-step explanation:
8 = 2k - 8 - 6k
Collect like terms
8 = -4k - 8
Add 4k to both sides (nice to have variable on left, constants on right)
8 + 4k = -8
Subtract 8 from both sides
4k = -16
Divide both sides by 4
k = -4
100 PTS!! Answer for alg 2a (U3 L10) unit test
1. Which set of ordered pairs in the form of (x, y) does not represent a function of x?
{(0, 2), (1, –1), (2, 3), (3, –2)}
{(0, –2), (1, 1), (2, 3), (3, –2)}
{(0, 2), (–1, –1), (2, –3), (3, 2)}
{(0, 2), (1, 2), (1, –2), (3, 2)}
2.What is (are) the x-intercept(s) of the function graphed above?
0 only
–3, 0, and 4
–4, 0, and 3
–12.5 and 21
3. What is f(–5) if f(x) = |2x – 1| + 10?
21
19
–1
–21
4. Which does not describe the same situation?
(A) y = 3x + 5
(B) x –3 1 4
y –4 8 17
(C) graph
(D) y is five more than three times x.
5. What is an equation of the line in slope-intercept form?
m = 2 and the y-intercept is (0, 3)
y = 3x + 3
y = 2x + 3
y = 2x – 3
y = –3x + 2
Answer if you know the answers and the rest of the answers as well. (19 question test)
Answers
Answer:
Step-by-step explanation:
{(0, 2), (1, –1), (2, 3), (3, –2)}
Answer:basically, x never reats with a different y
(x,y)
A is a fn of x since x never repeats
B is a fn of x since x never repeats
C is a fn of x since x never repeats
D is not since we have (1,2) and (1,-2) so this is the answer
Step-by-step explanation:
a function is decreasing on an interval if the output values decrease as the input values decrease
true or false?
Answers
The statement that a function is decreasing on an interval if the output values decrease as the input values decrease is FALSE.
What is a decreasing function?A decreasing function refers to a function where the value of the output moves in a different direction from the value of the input.
For instance, in a decreasing function, the value of the output would decrease when the value of the input increases.
In conclusion, it is false that a function is decreasing if the output and the input are both decreasing.
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what equations are equivalent to 18 − 15 = − 2x/5 + 7x/15
Answers
The equation which is equivalent to the given expression 18 − 15 = − 2x/5 + 7x/15 is (-3 = 5x/5).
What is defined by the linear equation with one variable?The basic equation used to demonstrate and overcome for an unknown quantity is a linear equation for one variable.
It is always a straight line and can be conveniently represented graphically. A linear function is a simple way to represent a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most cases, a variable 'x' is employed to represent the arbitrary number in a linear equation with one variable. A linear equation can be solved using a variety of simple methods. To produce a desired value of the unknown quantity, the variables have been separated on one side of the equation as well as the constants are isolated on the other.The given equation is;
18 − 15 = − 2x/5 + 7x/15
Simplifying the constant and variable part.
- 3 = 5x/5
Multiplying both side by 5;
- 15 = x
or, x = -15.
Thus, the required equivalent equation is - 3 = 5x/5 and the value of variable x is -15.
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answer pls! NEED HELP
Answers
Answer:
The first one
Step-by-step explanation:
Because the max is 6, the left ones are only right. Also a point is must be negative so it is the top left one.
consider randomly selecting a student at a large university, and let a be the event that the selected student has a visa card and b be the analogous event for mastercard. suppose that
Answers
It is not possible that the intersection case is P(A B)=0.5 .
What is intersection?The set of all objects that are members of both sets A and B is represented by the intersection of the two sets A and B, abbreviated as A∩B.
If there is any element x that is an element of both A and B, then we can also say that A intersects (meets) B at x. If A∩B is an inhabited set, which means that there must be some x such that x∈A∩B exists, then A intersects B equivalently.
If A does not intersect B, then A and B are said to be disjoint. They share no elements, to put it simply. If the intersection of A and B contains nothing—A∩B=Ф—then A and B are disjoint.
Explanation:
The likelihood of occurring of an event is called probability.
Consider two events A and B are occurred with probabilities P(A) and P(B) respectively.
The probability that both the events occurs is,
P(A and B)=P(A∩B)
When both the events are independent,
P(A and B)=P(AB) = P(A)x P(B)
The probability that either A or B occurs is,
P(A or B)= P(AUB) = P(A)+P(B)-P(A∩B)
When both the events are mutually exclusive the probability that either A or B occurs is,
P(A or B)=P(AUB) = P(A)+P(B)
The compliment of the probability is,
P(A)=1-P(A)
The conditional probability of occurring of an event A when it is given that B had already occurred is,
P(A|B)=P(A∩B)/P(B)
Let A represent the situation where the chosen person has a Visa credit card and B represent the situation where they have a Master card. The probability of occurring event A is 0.6 and the probability of occurring event B is 0.4 that is, P(A)=0.6, P(B)=0.4 .
It is known that P(A B)∠P(A) and P(A B)∠P(B) . So, it is not possible that the intersection case, P(A B)=0.5 .
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The ratio of students who made
only 30 students are in
kindergarten. What is the ratio
of grade 1 students to
kindergarten students?
Answers
What is the value of x?
(x+4)=-6
O x = 35
O x = -25
O x = 25
Ox=35
Answers
Answer:
Step-by-step explanation:
(x+4) = -6
x + 4 + 6 = -6 + 6
x = 10
-4 -4
-10
x=-10
X =10
The electronics retailer is extending a special offer to install the wall mount and television for free. However, Jamie decides to tip the installation specialist 10% of the original purchase price before the discount is applied. How much would her new total be? Show all necessary work.
Answers
The electronics retailer is extending a special offer to install the wall mount and television for free. However, Jamie decides to tip the installation specialist 10% of the original purchase price before the discount is applied. New total be 11x/10.
Let the original purchase price without discount be 'x';
Tip to installation specialist = 10% of original purchase price
= (10/100) × x
= x/10;
Her new total is x + x/10 = 11x/10;
We come across phrases like cost price, tagged price, discount, and selling price when making a purchase. Shop owners give discounts to customers to encourage product sales. Discount is the phrase used to describe a refund or an offer made to clients on the listed price of goods.
Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the refund is typically provided to boost sales or get rid of excess inventory. The price of an item as stated by the manufacturer or seller, without any price decrease, is known as the List price or Marked Price. After any discounts or price reductions from the list price, the selling price is the final price at which an item is actually sold. Discounts are sometimes referred to as "off" or "reductions." It should be noted that the discount is always determined using the item's marked price (list price).
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Answer : $611.29
Step-by-step explanation:
.10 x 719.99 =71.99
539.30 (from previous answer) +71.99 =611.29
Convert 13000 milligrams into pounds. Round your answer to the nearest hundredth
Answers
Answer:
0.03 is the correct answer
Step-by-step explanation:
0.02866009 = 0.03
use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Answers
The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Triangle law of vectors states that for a ΔABC
The sum of vectors of two sides is equal to the third side vector.
Two vectors are said to be Parallel if one vector is scalar multiple of other.
In the given figure
In ΔABC , D is mid point of AB and E is the mid point of AC .
By using triangle law of vectors for ΔADE
AE+AD=ED......(1)
Now using triangle law of vectors addition for ΔABC
CA+AB=CB ....(2)
(as given that E is the mid point of CA , we can write [tex]AE=\frac{1}{2} CA[/tex]
CA=2AE.....(3)
and D is mid point of AB , we can write [tex]AD=\frac{1}{2} AB[/tex]
AB=2AD......(4)
Substituting (3) & (4) in (2) we get
2AE+2AD=CB
2(AE+AD)=CB
SUBSTIUTTING VALUES OF (AE+AD) from (1) we get
2ED=CB
[tex]ED=\frac{1}{2} CB[/tex]
Hence , the line joining the midpoints of two sides of a triangle is half of third side.
Since ED is (1/2) of CB i.e. ED is scalar multiple of CB.
Hence they are parallel.
Therefore , The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
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Does anyone know the correct answer for this
Answers
Answer:
you have it right.
Domain is 3[tex]\leq[/tex]x[tex]\leq[/tex]positive infinity
Range is 5[tex]\leq[/tex]y[tex]\leq[/tex]positive infinity
Step-by-step explanation:
Sinita wants to make 35 picture frames.
She needs 4 nails for each frame.
Sinita has 3 boxes of nails.
There are 48 nails in each box.
Has Sinita got enough nails to make all 35 frames?
Show how you get your answer.
Answers
Answer:
Yes, 144>140
Step-by-step explanation:
Since Sinita has 3 boxes of 48 nails, Sinita has a total of 144 nails. (48x3=144)
Sinita needs enough for 35 frames, and each frame uses 4 nails, so she will need a total of 140 nails. (35x4=140)
what Sinita has: 144
what Sinita needs: 140
Sinita has more than what she needs, so yes Sinita has enough nails. (144>140)
a persian rug has a width of 9.00 feet and a length of 12.0 feet. what is the area of this rug in m2? (there are exactly 2.54 cm in one inch.)
Answers
The area of a persian rug in a metre square is given by 10.03 m2. It is calculated by using the concept of area and conversion of units of a quantity.
What is the conversion of units?
Conversion of units is the transformation between various units of measurement for the same quantity, simply the conversion of units deals with converting a quantity into different units without changing its magnitude.
Calculation of the area of the persian rug with given width and length
Given:
Length = 12 feet
Width = 9 feet
The basic step involved in solving this problem is to convert the length and width given in feet into metre
We know that 1 feet = 0.3048 m
Length = 12 × 0.3048
= 3.657 m
Width = 9 × 0.3048
= 2.743 m
Area of rug = length × width
= 3.657 × 2.743
= 10.03 m2
Hence, the required area of the persian rug is 10.03 m2.
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Match each pair of angle measures of a triangle with the remaining angle measure.
16 degrees and 102 degrees
38 degrees
119 degrees and 23 degrees
28 degrees and 87 degrees
96 degrees and 51 degrees
수
↑
33 degrees
62 degrees
65 degrees
Answers
The third angle of 16 degrees and 102 degrees is 62 degrees.
The third angle of 119 degrees and 23 degrees is 38 degrees.
The third angle of 28 degrees and 87 degrees is 65 degrees.
The third angle of 96 degrees and 51 degrees is 33 degrees.
What is the third angle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
In order to determine the missing angle, subtract the sum of the two given angles from 180.
180 - (16 + 102) = 62
180 - (119 + 23) = 38
180 - (28 + 87) = 65
180 - (96 + 51) = 33
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Nate Belloir earns a weekly commission of 2.5% on sales of $75,000 or less and 3.0% on sales in excess of $75,000. One week Nate’s commission was $2,135. What was the total of his sales for that week? Need answer ASAP.
Answers
Nate's total sales is 83,666.67.
What is the total sales?The first step is to determine the commission on sales of $75,000
Commission : 0.025 x $75,000 = $1,875
The second step is to determine the amount of commissions earned on sales above $75,000: $2135 - $1,875 = $260
The next step is to determine the amount earned above $75,000
Amount of sales above $75,000 : $260 / 0.03 = $8,666.67
Total sales for the week : $8,666.67 + $75,000 = 83,666.67
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please help with this qestion, I just need the answer in numbers
Answers
Answer:
Step-by-step explanation:
All that is needed here is the difference[tex]=0,738-0,585\\=0,153\\[/tex]Answer:
0.153 or 15.3%
Step-by-step explanation:
Subtract save percentage last season from save percentage this season:
0.738 - 0.585 = 0.153
Convert the decimal answer to a percent
0.153 x 100% = 15.3%
m= ???
find the missing length m
Answers
Answer:
5
Step-by-step explanation:
The ratio of the measures of the angles of a quadrilateral is 2: 4: 6: 3 . Find the measures of the angles of the quadrilateral.
Answers
Answer:
48º, 96º, 144º and 72º respectively
Step-by-step explanation:
find the smaller angle given the following: the angles are supplementary. the smaller angle is equal to 1⁄4 of the larger angle.
Answers
Thus, 36° is the smaller angle and 144° is the greater angle.
What is an supplementary angel?For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.
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A sled team consists of 11 dogs and the musher. each dog weighs 70 pounds and the musher weighs 160 pounds. what is the average weight of the sled team members?
Answers
Answer:
C. 73.5lbs
Step-by-step explanation:
What is the quotient of 7/8 divided by 2/5?
9/13
7/20
35/16
51/40
Answers
The quotient of 7/8 divided by 2/5 will be C. 35/16.
How to calculate the value?The quotient simply means that we have to divide.
Therefore, the quotient of 7/8 divided by 2/5 will be:
= 7/8 ÷ 2/5
= 7/8 × 5/2
= 35/16
In conclusion, the correct option is C
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The graph above shows the frequency distribution of
a list of randomly generated integers between O and
10. What is the mean of the list of numbers?
Answers
Solving the Question
The frequency tells us how many times the integer appears in the set of numbers.
The integer tells us the numbers that appear in the set of numbers.
To find the mean, we add up all the numbers in the set and divide the sum by the number of integers.
Let's write the information on the graph as a list of numbers:
0, 1, 2, 3, 3, 3, 4, 4, 6, 7, 8, 10
Find the sum:
51
Divide the sum by the number of integers (which is 12):
51/12
= 4.25
AnswerThe mean is 4.25.
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 6 liters of natural oil for every 5 liters of synthetic oil. In order to make 671 liters of Petrolyn oil, how many liters of natural oil are needed?
Answers
According to the given statement,
366 liters of natural oil is needed to make 671 L synthetic oil.
What is Synthetic Oil?
Essential oils, which are more natural, are slightly different from synthetic oils. An intentionally created chemical component is present in synthetic oils, which are used as lubricants.
Full synthetics and semi-synthetic oils are the two primary types of synthetic oils. Full synthetics originate from crude oil or byproducts in this situation. Conventional oils are produced using chemical procedures rather than distillation. The resulting synthetic oil has a higher molecular make-up and frequently exhibits more consistent characteristics. Synthetic oils are used in many cosmetic and medicinal goods, just like their more natural equivalents.
According to the given values;
The ratio of natural to synthetic oil
= 6:5
If 671 liters have to be made then,
Add 6+5=11
So, 6/11 of 671liters will be = 366 liters of natural oil
and, 5/11 of 671 liters will be = 305 liters of synthetic oil
Hence, 366 liters of natural oil is needed.
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Write the equation of each circle.
center at (-5,3) , passes through (1,-4)
Answers
in a petri dish, a certain type of bacterium doubles in number every 40 minutes.
There were originally 64 or 2 to the 6th power, bacteria in the dish. After 120 minutes, the number of bacteria has doubled 3 times, multiplying by 2 to the 3rd power
Now the population of bacteria is is 2 to the 6th power times 2 to the 3rd power. Expressed as a power, how many bacteria are in the petri dish after 120 minutes?
Answers
Applying exponent properties, it is found that there are 2^9 = 512 bacteria after 120 minutes.
What happens when we multiply two terms with the same base and different exponents?We keep the base and add the exponents.
This is what happens in this problem, when we multiply 2^6 by 2^3, as follows:
[tex]2^6 \times 2^3 = 2^{6 + 3} = 2^9 = 512[/tex]
Hence, there are 512 bacteria after 120 minutes.
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Explain how using properties
can help you mentally find answers
to problems.
Answers
I think using properties can help you mentally find answers to problems because if you know what property you are going to use, then you can know what you are doing, thus it's helping you mentally find answers.