Answer:
z = 11
Explanation:
5y + 13 = 6y
Subtract 5y by both sides.
13 = y
Next,
z + 22 = 3z
Subtract z by both sides.
22 = 2z
Then, divide both sides by 2.
11 = z
Finally plug those answers into the equations.
5(13) + 13 = 78
6(13) = 78
(11) + 22 = 33
3(11) = 33
So △DEF ≅ △JKI because the value of z = 11.
Answer:
10
Step-by-step explanation:
PQ/QR = ST/TR
17.5/QR = 7/4
QR = (17.5 x 4)/7
QR = 70/7
QR = 10
Answer:
n+3n=$850 n is one person and 3n is the other represented by n
Step-by-step explanation:
Answer:
x is 60, y is 50
Step-by-step explanation:
Answer:

Step-by-step explanation:
AK is angle A bisector, then

BL is angle B bisector, then

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is
then

Consider triangle ABK. In this triangle,
![m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}]](https://tex.z-dn.net/?f=m%5Cangle%20AKB%3D180%5E%7B%5Ccirc%7D-2x%5E%7B%5Ccirc%7D%20%5C%20%5B%5Ctext%7BSupplementary%20angles%7D%5D)
The sum of the measures of all interior angles in this triangle is
then

Hence,

Find the measures of the triangle ABC:
