Here is your answer
![SSS](https://tex.z-dn.net/?f=%3Cb%3ESSS%20%3C%2Fb%3E)
REASON:
SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be
.
Here, in both triangles
7units=7 units
8units=8units
Middle side is common to both triangles so it is equal.
Hence, both triangles are congruent by SSS
HOPE IT IS USEFUL
Answer:
B. 61
Step-by-step explanation:
Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.
Therefore,
![RQ = SQ](https://tex.z-dn.net/?f=%20RQ%20%3D%20SQ%20)
![3x + 16 = 7x - 24](https://tex.z-dn.net/?f=%203x%20%2B%2016%20%3D%207x%20-%2024%20)
Collect like terms
![16 + 24 = 7x - 3x](https://tex.z-dn.net/?f=%2016%20%2B%2024%20%3D%207x%20-%203x%20)
![40 = 4x](https://tex.z-dn.net/?f=%2040%20%3D%204x%20)
Divide both sides by 4
![\frac{40}{4} = \frac{4x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B4%7D%20%3D%20%5Cfrac%7B4x%7D%7B4%7D%20)
![10 = x](https://tex.z-dn.net/?f=%2010%20%3D%20x%20)
![x = 10](https://tex.z-dn.net/?f=%20x%20%3D%2010%20)
Find PQ:
![PQ = 2x + 41](https://tex.z-dn.net/?f=%20PQ%20%3D%202x%20%2B%2041%20)
substitute x = 10 into the equation
![PQ = 2(10) + 41](https://tex.z-dn.net/?f=%20PQ%20%3D%202%2810%29%20%2B%2041%20)
![PQ = 20 + 41](https://tex.z-dn.net/?f=%20PQ%20%3D%2020%20%2B%2041%20)
![PQ = 61](https://tex.z-dn.net/?f=%20PQ%20%3D%2061%20)
Answer:
the lower limit is 35% women believed and 65% of men believed in serial discrimination
A. 352 seconds or 5 minutes 52 seconds.
B. 320 seconds or 5 minutes and 20 seconds
C. 27687 steps
There are 5280 feet per mile. In A, 3 strides per second at 5 feet gives us 15 ft per second. 5280/15 = 352 seconds. In B, 3 strides per second at 5.5 feet gives us 16.5 feet per second. 5280/16.5 = 320 seconds. In C, we calculate the total feet to divide by 5 per step. multiply 26 miles by 5280 to get feet per mile and multiply 385 by 3 to get the feet per yard. Add them together. then divide by 5. 26(5280) + 385(3) =138435. 138435/5 = 27687 steps
4x^2 + 5x - 6 = (4x - 3) (x + 2)
You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2
Then you have to make (x- 3/4) = 0 and (x +2 ) = 0
When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.
Answer: option b: (4x -3)(x + 2)