Answer:
m∠B = 107°
Step-by-step explanation:
The given geometric figure is a deltoid or quadrilateral with two pairs of equal adjacent sides whose diagonals are perpendicular.
The longer diagonal divides two opposite angles into two equal parts, which means:
m∠A = 2 · 32 = 64°
m∠C = 2 · 41 = 82
Also the angles m∠B ≅ m∠D = x
The total sum of the inner angles in the quadrilateral is 360°, which means:
2 · x = 360 - ( 64 + 82) = 360 - 146 = 214 => x = 214/2 = 107°
m∠B = 107°
God with you!!!
Answer:
3.14
Step-by-step explanation:
The y intercept is when x is 0. So, we have to plug in 0 for x. You can do this in many different ways as well.
7(0)-4y=8
-4y=8
Divide both sides by -4.
Y=-2
So, the Y intercept is -2 (0,-2).
Answer:
x = ± 2
Step-by-step explanation:
Given
x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )
0 = 2x² - 8 ( add 8 to both sides )
8 = 2x² ( divide both sides by 2 )
4 = x² ( take the square root of both sides )
x = ±
= ± 2
Answer:
Ready Maid Cleaning Service's liabilities were $2930.
Step-by-step explanation:
At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets of $ 5,810 and equity of $ 2,880.
Liabilities = assets - equity
So, Liabilities =
dollars
Hence, Ready Maid Cleaning Service's liabilities were $2930.