What is a good question to ask yourself when deciding on a thesis statement? Select the best answer.

The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 de

Otrada [13]

The angle measure of ACB is 9 degrees

Answer: Option B

Step-by-step explanation:

To find the solution to the given problem, first we need to look into the point B. It consists two angles and both of them are on a straight angle. So, this means that the sum of angle ABC and CBD is 180 degrees, that is

$\angle A B C+\angle C B D=180^{\circ}$

We know that $\angle C B D=29^{\circ}$ . Therefore

$\angle A B C+29^{\circ}=180^{\circ}$

$\angle A B C=180^{\circ}-29^{\circ}=151^{\circ}$

Now, in the triangle ABC, we know that all three angles must sum 180 degrees,

$\angle C A B+\angle A B C+\angle B C A=180^{\circ}$

$20^{\circ}+151^{\circ}+\angle B C A=180^{\circ}$

$\angle B C A=180^{\circ}-20^{\circ}-151^{\circ}=9^{\circ}=\angle A C B$

Therefore, the angle ACB is 9 degrees.

7 0

3 years ago

Hi. I need help with these See image for question Answer no 8 ,9 and 10

Nezavi [6.7K]

Answer:

8) 4 + 2q²/p² - 4r/p + r²/p²
9) (3/4, -9/4)
10) (3/8, 41/16)

Step-by-step explanation:

8. ============

Given

α and β are roots of px² + qx + r = 0

The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p

(2 + α²)(2 + β²) =
4 + 2(α² + β²) + (αβ)² =
4 + 2((α + β)² -2αβ) + (αβ)² =
4 + 2((-q/p)² - 2r/p) + (r/p)² =
4 + 2q²/p² - 4r/p + r²/p²

------------------------------

9. ============

Given function

y = 2x² - 3x - 1

The minimum point is reached at vertex

The vertex is:

x = -b/2a
x = -(-3)/2*2 = 3/4

The corresponding y-coordinate is:

y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4

So the point is:

(3/4, -9/4)

---------------

10. ============

Given function

y = 2 - 3x - 4x²

The maximum is reached at vertex

The vertex is:

x = -b/2a
x = -(-3)/2(-4) = -3/8

The corresponding y-coordinate is:

y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16

So the maximum point is:

(3/8, 41/16)

4 0

2 years ago

boeing plans to increase its price for jetliners. with a selling price $201.5 million and a cost of $190.1 million, what was the

scoray [572]

so from 190.1 to 201.5 is 201.5 - 190.1 = 11.4.

now, if we take 190.1 as the 100%, what is 11.4 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190.1&100\\ 11.4&x \end{array}\implies \cfrac{190.1}{11.4}=\cfrac{100}{x}\implies 190.1x=1140 \\\\\\ x=\cfrac{1140}{190.1}\implies x\approx 5.99684$

3 0

2 years ago

Read 2 more answers

The measure of an exterior angle of a regular polygon is 24 find the measure if the interior angle then find the number of sides

Natali [406]

The interior and exterior angles add up to 180° (a straight line - eg, a + f = 180°), andThe sum of the exterior angles is 360° (a + b + c + d + e = 360°).Question

3 0

2 years ago

1.6x=1.28 help me solve this

bogdanovich [222]

Answer:

Step-by-step explanation:

Sure! So, we need to divide by 1.6 on each side to isolate the x.

1.6x / 1.6 is just x. We need to divide by the same on the other side too!

1.28 / 1.6 is 0.8.

So x = 0.8

7 0

2 years ago