Answer:
E. 214
Step-by-step explanation:
Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal
8x - 37 = 5x + 17
3x = 54
x = 18
Now substitute to check
8(18) - 37 = 5(18) + 17
107 = 107
So if this is true, to find the segment A to B, just add segments A to F and F to B together
107 + 107 = 214
The length of segment AB is 214
<span>△PQR is similar to △STU
</span>m∠R = m∠U = 96°
m∠Q = m∠T = 6
m∠P = 180 - ( 96 + 6)
m∠P = 180 - 102
m∠P = 78
answer
m∠P = 78
Answer:
x=2 y=-2
Step-by-step explanation:
you can solve this with the elimination process
-10x+6y=-32
-6x+6y=-24
you can multiply the bottom equation by a -1
-10x+6y=-32
-1(-6x+6y=-24)
making it
-10x+6y=-32
6x-6y=24
this allows you to cancel out 6y because 6y-6y=0
so you are left with
-10x=-32
6x=24
add them
-10x=-32
+6x=24
________
-4x=-8
divide by -4=2
x=2
plug that into the original equation
-10(2)+6y=-32
-6(2)+6y=-24
=
-20+6y=-32
-12+6y=-24
add them
-20+6y=-32
+-12+6y=-24
_________
-32+6y=-56
add 32
-56+32=-24
y=-24