<h2>Answer:</h2>
<u>In ΔQRS and ΔQLK</u>,
QR/QL = QS/QK
28/4 = 28/4
7/1 = 7/1 --[1]
<u>AngleLQK and AngleRQS are equal</u> (VOA)
<u>Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar</u>.
[A] ΔQRS ~ ΔQLK by SAS similarity.
(3,5)....x1 = 3 and y1 = 5
(1,3)....x2 = 1 and y2 = 3
slope formula : (y2 - y1) / (x2 - x1)
slope = (3 - 5) / (1 - 3) = -2/-2 = 1 <== slope is 1
Every angle of a square equals 90 degrees.
2x - 4 = 90 3y + 6 = 90
2x = 90 + 4 3y = 90 - 6
2x = 94 3y = 84
x = 94/2 y = 84/3
x = 47 y = 28
so x = 47 and y = 28
Answer:
The measure of JK is 60
Step-by-step explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si
