- Given the Above diagram, Find the value of x; m K
I 2y + 13
2
47
92 +1
3
14
+9
4
5
type your answer..
m type your answer
m type your answer
6

Answer/Step-by-step explanation:

m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)

m<MAL + m<HAL = m<MAH

Which is:

(9x + 1) + (x + 9) = 90°

Solve for x

9x + 1 + x + 9 = 90

Collect like terms

9x + x + 1 + 9 = 90

10x + 10 = 90

Subtract both sides by 10

10x + 10 - 10 = 90 - 10

10x = 80

Divide both sides by 10

x = 8

Find m<MAL

m<MAL = 9x + 1

Plug in the value of x

m<MAL = 9(8) + 1 = 72 + 1 = 73°

Find m<HAL

m<HAL = x + 9

m<HAL = 8 + 9 = 17°

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).