Answer:
x+5
Step-by-step explanation:
Simply it so it is
(x+5)(x+5)/(x+5)
And then you will take out the (x+5) from the numerator and denominator to get the answer.
Answer:
Step-by-step explanation:
I think ur is D but I'm not sure
We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11
Answer:
170°
Step-by-step explanation:
Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.
A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.
Therefore the angle at Chicago is C.
From cosine rule:
c² = a² + b² - 2ab × cos (C)
2ab × cos (C) = a² + b² - c²
cos (C) = (a² + b² - c²) / 2ab
Substituting:
cos (C) = (1744² + 714² - 2451²) / 2×1744×741
cos (C) = -0.986
C = cos⁻¹ (- 0.986) = 170°
The inscribed angle theorem says that the measure of angle BDC is 2 times larger than the measure of angle BAC.
Angle CBD has measure 44 degrees, and we're told angles CBD and BCD are congruent. This means triangle BCD is isosceles.
The interior angle measures of any triangle add up to 180 degrees, so the measure of angle BDC must be
Then 
.
