Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
-1 3/4
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Simplify left and right parts separately.
<u>Left part:</u>

<u>Right part:</u>

Since simplified left and right parts are the same, then the equality is true.
Answer:
Step-by-step explanation:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )
m =
=
= 
Since division by zero is undefined then the slope is undefined