∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
Answer:
y=27.75
x=13.5
Step-by-step explanation:
(5x-17)+(3x-11)=180 (supplementary angle rule)
8x-28=180
8x=180+28
x=108/8
x=13.5
(3x-11)+90+(2y+5)=180 (supplementary angle rule)
29.5+90+2y+5=180 (replace x by 13.5)
2y=55.5
y=55.5/2
y=27.75
Get them from someone else or take pictures of what your teachers wrote or record the entire class with your phone
M1 = 27
m2= 27 also
To do this, Triangle abd is a right triangle. As the square in angle adb shows its 90°. Which shows that angle cdb is also 90°. All triangles equal 180° so add 90° to 63° (angle dcb) which equals 153. Take 180 and subtract 153 and you get 27° as the measurement of thr missing angle m1. Repeat for missing angle 2 ( which is also 27°)
This should be repeatable for the problems above too.