The sum of the opposite interior angles is equal to the exterior angle.

So,

∠CAB + ∠ACB = ∠CBD

x + 40 + 3x + 10 = 6x

4x + 50 = 6x

2x = 50

x = 25°

∠CAB = x + 40 = 25 + 40 = 65°

Hence, the answer is D.

4 0

3 years ago

Please Help- <br> K + ⅓ = 5 ⅛ | K = ?<br> Show Your Reasoning.

blondinia [14]

Answer:

$4\frac{19}{24}$

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

$K + \frac{1}{3} = 5\frac{1}{8}$

Next thing to to is subtract 1/3 from both sides to get:

$K = 5\frac{1}{8} - \frac{1}{3}$

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

$K = 5\frac{3}{24}$ $-\frac{8}{24}$

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = $\frac{123}{24}$ $-\frac{8}{24}$

Finally, you subtract 123 over 24 by 8 over 24.

K = $\frac{123}{24} - \frac{8}{24} = \frac{115}{24}$

Then just simplfy the 115/24 to get

$4\frac{19}{24}$

8 0

3 years ago

Please help me with this math problem!! Will give brainliest!! :) (Pictures below)

Masteriza [31]

Answer:

Step-by-step explanation:

1. Y-axis (the vertical one) is money

2.X-axis (the horizontal one) is days

What else do u need?

8 0

2 years ago

Read 2 more answers

Find the missing angle or find X?

Sindrei [870]

X = 60°
Because the square in the corner tells you that it is 90° (right angle)
So your equation to solve for x would be...
x + 30 = 90
Now you need to isolate the x.

Subtract both sides by 30.
x + 0 = 90 - 30
x = 60

3 0

3 years ago