Step-by-step explanation:
Blue is for physics........
Step-by-step explanation:
tan 60 = 21 ÷ y
1.73 = 21 ÷ y
y = 21 ÷ 1.73
y = 12.14
tan 30 = x÷ 12
0.6 x 12 = x
x = 7.2
The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.
Answer:
![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
The formula for the slope with two points given would be
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute
![\frac{10-5}{10-1} =\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B10-5%7D%7B10-1%7D%20%3D%5Cfrac%7B5%7D%7B9%7D)