Two triangles are congruent if they meet they both meet the rules for congruency
The rules that makes the given triangles congruency are;
a) SSS
(b) SAS
(c) ASA
(d) Not congruent
(e) AAS
(f) HL
Reasons:
(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency
Segment SP ≅ Segment PR; Same number of tic marks indicating congruency
Segment QP ≅ Segment QP; Reflexive property
Therefore;
ΔPQS ≅ ΔPQR by Side-Side-Side, SSS, rule of congruency(b) Segments AC, BC, on ΔABC ≅ Segments CD, CE, on ΔCDE Given
m∠DCE ≅ m∠ACB; Vertically opposite angles postulate
Therefore;
ΔABC ≅ ΔDEC by Side-Angle-Side SAS, rule of congruency(c) Segment ST ≅ Segment TU; Given
m∠RST = m∠VUT = 90°; Given
∠VTU = ∠RTS; By vertical angle theorem
Therefore;
ΔRTS ≅ ΔUTV by Angle-Side-Angle, ASA, rule of congruency(d) Not congruent because given parameter Side Side Angle not a condition for congruency
Not congruent
(e) ∠GHJ ≅ ∠GFJ; Given
∠HJG ≅ ∠JGF; Given
Segment GJ ≅ Segment GJ; By reflexive property
Therefore;
ΔGFJ ≅ ΔGJH; By Angle-Angle-Side, AAS similarity rule(f) Hypotenuse AB ≅ Hypotenuse DE; Given
Leg AC ≅ Leg DF; Given
Therefore;
ΔABC ≅ ΔDFE; by Hypotenuse Leg, HL, rule of congruencyLearn more here:
https://brainly.com/question/21301647
Factorize mn-nq+mo-oq
mn-nq+mo-oq
n(m-q) + o(m-q)
final ans:(n+o) (m-q)
1. Evaluate 3•7 - 1.
о o
20
21
18
-5
Solve the systems of equation by graphing
#a
Refer to attachment 1
#b
Refer to attachment 2
Did I do this right?
Answer:
3CuCl2 + 2Ni → 3Cu + 2NiCl3
Which table represents a linear function.
Answer:
The third table represents a linear function
Step-by-step explanation:
The first table is not a function
The second table is not linear
The fourth table is not a function
Billy was asked to solve 5(x + 3) = 2x + 6 and explain his steps. Fill in the missing step.
Answer:
Subtract 15 from both sides
Step-by-step explanation:
Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide.
Answer:
The area of the countertops surface is 27 square feet. The perimeter of the countertop is 24 feet.
Step-by-step explanation:
COMPUTATION:
Area:
width = 3 feet
length = width x 3 = 9 feet
wl = 27 square feet
Perimeter:
width = 3 feet
length = 9 feet
w + l + w + l = 24 feet
Hope this helps!
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
Question 1 : B) (8 x 20) - (8 x 1)
Question 2 : D) (2 x 9) + (2 x 3)
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
Answer:
B) (8 x 20) - (8 x 1)
D) (2 x 9) + (2 x 3)
Step-by-step explanation:
Distributive Property: "The distributive property tells us how to solve expressions in the form of a(b + c)."
___________________
Step 1: 8 x 19 = 152
Using PEMDAS, you can see which order to solve the equations in.
PEMDAS tells us to solve whatever is within the parenthesis first but there are 2 parenthesis and both have multiplication so just solve the first parenthesis first;
8 x 20 = 160
Step 2: We now have to solve the second parenthesis;
8 x 1 = 8
Step 3: Using PEMDAS, we see that after we solve the parenthesis, we do subtraction. So subtract 8 from 160.
160 - 8 = 152
So your answer is B) (8 x 20) - (8 x 1).
___________________
Step 1: 2(9 + 3)
Using the Distributive property, we multiply 2 by 9 and 3;
2 x 9 = 18
2 x 3 = 6
Now you are left with 18 + 6.
18 + 6 = 24
So your answer is D) (2 x 9) + (2 x 3).
___________________
Hope this Helps! :)
The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?
A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds
Answer:
It is 5 seconds option C
Step-by-step explanation:
When the ball would hit the ground, h would reduce 0.
We can equate the R.H.S to 0.
∴ 0= -16t²+64t+80
0 = t² - 4t - 5 (dividing both sides by -16)
0 = t²+t - 5t -5 (by splitting the middle term)
0 = t ( t+1) -5 (t+1)
0= (t-5) * (t + 1)
when t-5=0 ; when t+1=0
t =5 ; t= -1 time cannot be -ve
∴ t= 5 seconds
Hope this helps you.
Answer:
C) 5 seconds
Step-by-step explanation:
Given equation:
[tex]h=-16t^2+64t+80[/tex]
where:
h = height of a ball above the ground (in feet).t = time (in seconds).The ball hits the ground when the height is zero.
Therefore, substitute h = 0 into the given equation and solve for t.
[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies t+1=0 \implies t=-1[/tex]
[tex]\implies t-5=0 \implies t=5[/tex]
As time cannot be negative, t = 5 only.
Therefore, it takes 5 seconds for the ball to hit the ground.
9x2y3, for x= 5 and y=3.
Answer:
if you tell me what it means I can help you
help pls i don’t know it!!!!
Hello!
Answer:
The answer is C
Step-by-step explanation:
I wrote it in to my graphing calculator
Hope this helps!
Please help me with algebra!!
Hello!
Answer:
-11
Hope this helps!
Maria conducted an in-person pre-election survey about voter preferences in the Democratic primary. She found that nearly all respondents (98 percent) were open to supporting a woman candidate. However, in the anonymous follow-up survey that re-interviewed the respondents, only 80 percent responded that they would be open to supporting a woman candidate. What could be generating these different results
Answer:
the social desirability effect
Step-by-step explanation:
Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.
As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies. As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.Hence the social desirability bias is the main culprit for such a response.
Learn more about the Maria conducted an in-person pre-election survey about voter preferences.
brainly.com/question/16593814.
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answer:
Step-by-step explanation:
B
Algebra 2 ............
The equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
The equation of a line in slope intercept form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex]
m is the slope
(x0, y0) is the point on the line.
Given the following parameters:
m = -5/2 and (x0, y0) =(-4, 7)
Substitute the given coordinates into the formula above;
y - 7 = -5/2(x + 4)
2(y-7) = -5(x+4)
2y-14 = -5x - 20
2y = -5x - 20 + 14
2y = -5x - 6
y = -5/2x - 3
Hence the equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
Learn more here: https://brainly.com/question/17003809
10am/3 divided by -5a/6
Perform the indicated operation and simplify the result. x/5+x/6
Hello loll6591!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Perform the indicated operation and simplify the result. x/5+x/6
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \frac{x}{5} + \frac{x}{6} \\ [/tex]
First, find the LCM of 5 & 6, which is 30.
[tex] \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} [/tex]
Now add 6x/30 with 5x/30.
[tex] \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}[/tex]
__________________
Hope it'll help you!
ℓucαzz ッ
John is 5 feet 10 inches tall. There are 2.54 centimeters in 1 inch.
What is John’s height in centimeters?
25.4 cm
⊝
17.78 cm
⊝
177.8 cm
⊝
152.40 cm
Answer:
It would be 177.8 cm!!
Step-by-step explanation:
Answer:
177.8 CM
Step-by-step explanation:
70 x 2.54
= 177.8
1,3,4,6,9 pls help me
Answer:
1: double a number
3: the product of 18 and a number subtracted from the square of another number
4: x+14
6: 7+11x
9: n raised to the power of three + 5
A 14 ounce can of tomatoes costs $2.80. How much money per ounce do the cans cost?
Answer:
$39.2 per pound
Step-by-step explanation:
First off, you know that there are 14 ounces of tomato.
Then you know that each can cost $2.80
After that, you have to multiply 14*2.80 to get $39.2
So the answer is $39.2
Hope this help you :)
please do this for me
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer:
77 degrees
Step-by-step explanation:
<P + <O = 38 + 39 = 77 degrees
180 - 77 = <N = 103 degrees
180 - 103 = 77 degrees (<PNM)
solve the following eqation: 4m - 12 = 0
Answer:
m=3
Step-by-step explanation:
Move the 12 over to the other side so it will be 4m=12, then divide each side by 4 to get m=3
Answer:
m=3
Step-by-step explanation:
4m-12=0
4m-12+12=0+12
4m=12
4m/4 =12\4
m=3
3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
(a) How much money does Jeff earn per hour? Show your work on how you found the constant of proportionality.
(b) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality.
(c) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(d) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
( please add a graph!! )
#1
[tex]\\ \sf\longmapsto y=19x[/tex]
Per hour means x=1[tex]\\ \sf\longmapsto y=19(1)=\$19[/tex]
#2
Carl earns in 3hours=45
He earns per hour=
[tex]\\ \sf\longmapsto \dfrac{45}{3}=15\$[/tex]
#3.
Jeff earns more per hour .
As
19$>15$#4
Graph attached
CAN SOMEONE PLEASE HELP
In the diagram, line l is parallel to line m and is cut by transversal n. The measure of angle one is equal to 3x+6 and angle two measures 6(x−2).
What is the measure of angle one?
Answer:
24
Step-by-step explanation:
Since the lines L and M are parallel:
Angle 1 and and 2 are alternate and their measurement is equal.
3x + 6 = 6x - 12 (we multiplied 6 with inside the parenthesis)
6 + 12 = 6x - 3x
18 = 3x divide both sides by 3
6 = x to find the angle measure replace x with 6
3x + 6 is 3*6 + 6 = 24
hii I need help with this, can someone explain?
Answer:
7
Step-by-step explanation:
Evaluate 2(x + 1) - 3 when x = 6.
A. 11
B. 10
C. 5
O D. 8
Answer:
it should be A. 11
Step-by-step explanation:
2(6+1)-3
12+2=14
14-3= 11
Hi, I need help with this math question .
The image posted below
(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).
Answer:
(6,8)
Step-by-step explanation:
[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+2[/tex]
Put the value[tex]\\ \sf\longmapsto 8=\dfrac{1}{3}(6)+2[/tex]
[tex]\\ \sf\longmapsto 8=2+2[/tex]
[tex]\\ \sf\longmapsto 8\neq 4[/tex]
What is 0.071 as a fraction in lowest terms?
71/10
71/1000
71/50
71/100
Answer:
71/1000
Step-by-step explanation:
cause ik math and I really not smart at the.same time
0.071 as a fraction in the lowest term is [tex]\frac{71}{1000}[/tex]
What is the lowest term?If the numerator and denominator of a fraction are relatively prime, that is, if they only share the number one, then the fraction is said to be stated in the lowest terms.0.071 in fraction is [tex]\frac{71}{1000}[/tex]
because 71 and 1000 don't have greatest common factor so the lowest term is also the same.
Therefore, 0.071 as a fraction in the lowest term is
To learn more about the lowest term, refer to
https://brainly.com/question/17220365
#SPJ2
Please help me with the explanation! I need to remember how to do this
Answer:
like what do you want to remember.