If the triangles are given to be congruent, the corresponding angles and corresponding sides should have the same measure and lengths. From the given, side RT is congruent to side NQ. Therefore, the answer to the question is letter B. NQ.
Answer:
x = 8 in
y = 8sqrt(2) in
Step-by-step explanation:
x = 8
AC = BC
Because opposite angles are equal.
8² + 8² = hyp²
hyp² = 64 + 64 = 128
hyp = sqrt(128)
hyp = 8sqrt(2)
Where sqrt is the square root
Answer:
;
; 
Step-by-step explanation:
Given



Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:

Substitute values for A, B and C

Collect Like Terms


Solve for x


Solve for A, B and C









From Smallest to Largest, we have:
;
; 
You can write the amount that they spent individually in a ratio where:
Holly : Jimmy
2 : 5
The total of this ratio would be 2+5 = $7.
To find the scale factor multiplier for the base ratio of 2:5:
35/7 = 5
Multiply both sides of the ratio by 5.
Holly : Jimmy
2 x5 : 5 x5
10 : 25
You can see that the total of this ratio is now $35, where Jimmy spent $25.