Answers
Answer:
1) [tex]x=15, y=41[/tex]
2) [tex]x=6, y=24[/tex]
Step-by-step explanation:
1)
The two triangles are similar by AA similarity.
That means [tex]5x-5=4x+10[/tex].
We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].
We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].
We know that the [tex](5x-5)+(6y-4)=180[/tex] because they both lie on a straight line.
We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].
We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].
We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].
So, [tex]\boxed{x=15, y=41}[/tex] and we're done!
2)
Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].
We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].
We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].
We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].
We combine like terms on the left side to get [tex]25x+30=180[/tex].
We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].
We divide both sides of the equation to get [tex]x=6[/tex].
So, [tex]\boxed{x=6, y=24}[/tex] and we're done!
Related Questions
Hi, please what's -3 1/2 - 1 5/6
Answers
Answer:
-8/3
Step-by-step explanation:
Answer:
-31 / 2 - 15 /7
-31 /2
= 15.5
-15/7
-2 .14
so the answer was.
-8/3
Help please !!!!!!!!!!!
Answers
Answer:
120
Step-by-step explanation:
Because it’s congruent to the other angle
What’s the value?? HELPPPP
Answers
Answer:
ok well I think it is 16
Step-by-step explanation:
because the parentheses first 2 x 2 x 2=8
then we have the outside of the parentheses 2, 8x2=16
so I think the answer is 16
Let's see
[tex]\\ \rm\rightarrowtail (2^3)^2[/tex]
(a^m)^n=a^mnSo
[tex]\\ \rm\rightarrowtail 2^{3(2)}[/tex]
[tex]\\ \rm\rightarrowtail 2^6[/tex]
[tex]\\ \rm\rightarrowtail 64[/tex]
Lucy is saving money to buy a game. So far she has saved $12 , which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Answer:
18$
Step-by-step explanation:
could anyone help me with this?
Answers
Answer:
ya
Step-by-step explanation:
.
If three dice are rolled, what chance is there
of throwing a total of 18?
Answers
Answer:
1/216
Step-by-step explanation:
1/6 times 1/6 times 1/6
or 6^-3
Answer:
Step-by-step explanation:
There is only 1 way you can throw 18 with 3 dice. There are 6 * 6 * 6 = 216 ways of throwing 3 dice. Only 1 will give you 18. So the answer is 1/216
Seven kg. of nuts costs $5. How many kg. of nuts can you buy with $2
Answers
7kg=$5
represent the unknown with an x.
Therefore,
7kg=$5
x=$2
5÷2 is 2.5
7kg÷2.5=2.8
2.8kg of nuts for $2.8
O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4
Answers
Answer:
A
Step-by-step explanation:
cause an exponent and be any number
this is the last qestion help plz
Answers
Answer:
$513.75
Step-by-step explanation:
Let h represent the number of hours he worked in a week
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.
Hence, his pay Is represented by equation:
$498.75 + $2.50 × x
If he works 6 hours on the weekend in addition to the 35 hours during the week
$498.75 + $2.50 × 6
= $498.75 + $15
= $513.75
Therefore, he earns $513.75
Pls help, and quick pls!!!
Answers
Answer:
A) 1/3
B) 3
Step-by-step explanation:
PART A: To calculate the scale factor reduction going from the large shape to the small shape you have to use the equation SF reduction = small/large. Using the figures on the side of the shape I need to have 3/9, which simplifies to get 1/3. This is the final answer.
PART B: To calculate the scale factor enlargement going from the small shape to the large shape you have to use the equation SF enlargement = large/small. Using the figures on the side of the shape I need to have 9/3, which simplifies to get 3. This is the final answer.
Somebody help
The graph shows the calling charges of two cell phone companies. At how many minutes do the two companies charge
20
18
cell phone
company A
16
14
+
+
10
Charges
cellphone
company B
10 20 30 40 50 60 70 80
Time (minutes)
OA 0
OB. 15
OC 20
OD 40
Answers
Put it to more points longer the question is so n00000
7/1 − 3 ( 7/3n − 7/2 )
Answers
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
Which of the following numbers are divisible by 8?
a) O 2048
b) O 72 045
c) O 800
d) 56 120
Answers
It couldn’t be a because although 2048 is divisible by 8 zero isn’t
This is the same for a b and c who all have zeros in them. The only one without is d
Therefore the answer is d
Please, Can someone help me, I don't know this one.
Answers
3. Tiffani has a baseball
card collection with 273
cards in it. She decides to
seil one-third of her
collection. How many cards
does she have left
Answers
Answer:
Tiffani has 182 cards left.
Step-by-step explanation:
Find one-third (1/3) of 273:
1/3 x 273 = 91
Therefore, she sells 91 cards.
273 - 91 = 182 cards left
Hope this helps :)
can someone help me how to do this
Answers
Answer:
Answers in Bold
Step-by-step explanation:
Point Slope Form: (y - y₁) = m(x - x₁)
4. y - 4 = 0.8(x - 2)
- To make it slope-intercept form
y - 4 = 0.8x - 1.6
y = 0.8x + 2.4
5. (Use slope finding formula) 4 - 10 / -2 - (-5) = 2
y - 4 = 2(x + 2)
- To make it slope-intercept form
y - 4 = 2x + 4
y = 2x + 8
Simplify the expression 3/2(5/3)−1 1/4+1/2 . Given the answer as a simplified fraction.
The simplified expression is a/b .
Answers
Answer:
3/2(5/3) - 1 1/4 + 1 1/2
= 11/4
Step-by-step explanation:
If Chris looks at the clock 10 minutes into class and the clock reads 9:15 A.M., what time did class begin?
Answers
Answer:
9:05
Step-by-step explanation:
just took the text
hope this helps!!!!
Answer:
9:05
Step-by-step explanation:
:15- 10 =5
1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)
Answers
I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
What is Equation of line?
The equation of the line in slope-intercept form is expressed as:
y - y₁ = m(x - x₁)
where: m is the slope.
and (x₁, y₁) is the point on the line.
1. Given that;
Equation of the line as y = -x
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - (-8) )
y - 2 = x + 8
y = x + 8 + 2
y = x + 10
Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,
⇒ y = x + 10
2. Given that;
Equation of the line as y = -x
Point as (8, 2)
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - 8 )
y - 2 = x - 8
y = x - 8 + 2
y = x - 6
Hence, The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
Thus,
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
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Solve the equation
cb – 20 = –10 for b.
Answers
You have to isolate the variable by dividing each side by factors that don’t contain the variable
NEED HELP ASAP!!
find the measure of the angle.
Answers
Answer:
85 degrees
Step-by-step explanation:
whats the reciprocal to 2 3/8?
Answers
Answer:
8/19 would be the answer to this question.
I hope this helped you! :)
Answer:
8/19
Step-by-step explanation:
Given x, the reciprocal is 1/x.
Given 2 3/8, we first rewrite this as an improper fraction: 19/8, and then invert this result: 8/19
0
help fill the blanks!!
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
blank 1 - AD = DCblank 2 - Angle ADB = Angle CDBblank 3 - BD = BD blank 4 - SASblank 5 - AB = BCguys pls help me!!!!!!!
Answers
Answer:
[tex](6r - 3) \degree = 45\degree \\ 6r = 45 + 3 \\ 6r = 48 \\ r = \frac{48}{6} \\ \therefore \: r = 8 \\test \: 6(8) - 3 = 48 - 3 = 45\degree[/tex]
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation. Plzzz help
Answers
Answer: graph is in picture
Graph the line using the slope and y-intercept, or two points
Slope: −1/2
x y
0. −2
2. −3
—————-————————————
the x- and y-intercepts :
x-intercept(s): (−4, 0)
y-intercept(s): (0, −2)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Determining a Missing
f(x)
-3
-12
If the table of the function contains exactly two potential
turning points, one with an input value of -1, which
statement best describes all possible values of m?
Om 2-12
0 -12
Oms 4
O m2 4 or ms -12
-2
m
-1
4
0
0
1
-4 -2
2.
Answers
Answer:-36
Step-by-step explanation:-3(-1)-12
so negative times negative is positive so -3 x -1 is 3 so now positive times negative is negative so 3 x -12 is -36
The statement which best describes all the possible values of m is –12 < m < 4.
What is a Turning Point of a Function?The turning point of a function is defined as the point where the graph of the function changes it's form. That is, an increasing graph changes to decreasing at that point and vice versa.
Given a table values of function.
Also, given that, one of the turning point is at x = -1.
At x = -1, f(x) = 4.
After it, the function decreases.
We can also see another turning point at x = 1.
At x = 1, f(x) = -4.
After x = 1, the function again increases to get the value f(x) = -2.
So x = -2 is not a turning point.
So the value of f(-2) = m lies in between -12 and 4.
Hence the correct option is B.
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Your question is incomplete. The complete question is given below.
If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12
Question: All of the following trigonometric functions have the same value except
Answers: Pick one.
cos180°
sin270°
tan90°
Answers
Answer:
[tex]\tan{90^{\circ}}[/tex]
Step-by-step explanation:
Because [tex]\cos{x}[/tex] and [tex]\sin{x}[/tex] are defined for all [tex]x[/tex](i.e. their domain is [tex](-\infty, \infty)[/tex]), so they can never be undefined. However, [tex]\tan{90}=\sin{90}/\cos{90}=\sin{90}/0[/tex], which is undefined, because you can't divide by [tex]0[/tex]. So, the answer is [tex]\boxed{\tan{90^{\circ}}}[/tex]
At a sale of radio sets, 1/3 of all the sets were sold the first day, 1/4 of all the sets were sold the second day, and 1/8 of all the sets were sold the third day. What fractional part of the sets was left unsold after the third day?
A) 17/24
B) 5/12
C) 7/18
D) 7/24
Answers
Answer: 7/24 is the answer to this question
Help! I’ll mark brainly list but please explain!!
Answers
u would find the price of the movie tickets and popcorn. since your only buying one water, u don’t need to multiple the price by anything.
in a standard normal distribution, the probability that z is greater than zero is
Answers
Answer:
50%
Step-by-step explanation:
The distribution is symmetrical about the y-axis.
The probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
What is Probability?The branch which deals with the occurrence of a random event is known as probability.
The area under the curve to the right of z = 0 is equal to the area under the curve to the left of z = 0. So the standard normal distribution is symmetric about the mean of zero
As the total area under the curve is equal to 1, each of these areas must be 0.5 or 50%.
In a standard normal distribution, the probability that z is greater than zero is 0.5, or 50%.
Therefore, the probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
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