Answer:
QT = 45
Step-by-step explanation:
ST = 65
SP = 26
RQ = 30
QT = 4x - 3
Given that ∆STR is similar to ∆PTQ, therefore:

Plug in the values

Solve for x


Cross multiply


Collect like terms


Divide both sides by 8


✅QT = 4x - 3
Plug in the value of x
QT = 4(12) - 3 = 48 - 3
QT = 45
Answer:
A, B and C.
Step-by-step explanation:
If its a right triangle then c^2 = a^2 + b^2 where a, b and c are the 3 sides, c being the hypotenuse.
3^2 + 6^2 = 9 + 36 = 45
and (√45)^2 = 45 so the first set (A) is a right triangle.
2.5^2 + 6^2 = 6.25 + 36 = 42.25.
6.5^2 = 42.25 so B is also a right triangle.
C:
4^2 + 8^2 = 16 + 64 = 80
(√80)^2 = 80 so C is right-angled also.
9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
Answer:
The aswer is D
Step-by-step explanation:
The answer will be “self interest”.