You know that the two triangles are congruent because two sides and one angle are congruent.
According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.
3y-2=y+4
3y=y+6
2y=6
y=3
3(3)-2=9-2=7
7+4+6=17
The perimeter is 17 feet.
Hope this helps!
Answer : Y=-15/7
Explanation:
Answer:
{x = -3
, y=2 (Isolved for both variables be elimination)
Step-by-step explanation:
Solve the following system:
{3 x + 5 y = 1 | (equation 1)
7 x + 4 y = -13 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 4 y = -13 | (equation 1)
3 x + 5 y = 1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 4 y = -13 | (equation 1)
0 x+(23 y)/7 = 46/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 4 y = -13 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{7 x+0 y = -21 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = -3
, y=2
Step-by-step explanation:
A transformation(s) of a parent function is

where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is

First, we stretched this by 7
so we have

We need to shift this 12 units to the left so we have

We need to reflect this across x axis so we get

We need to shift this downwards 15 so we get

or because tan is a odd function you could say


Because y varies inversely as x, therefore

where k = constant.
When x = 6, y = 2.5. Ther efore

Cross multiply.
k = 6 x 2.5 = 15
The equation is

When x = 4, obtain

Answer: a. 3.75