All categories

3 years ago

Use the diagram to find each angle measure.Explanation added please.

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

4. 120° ~ vertical angles are congruent

5. 13° ~ vertical angles are congruent

6. 70° ~ supplementary angles

7. 115° ~ supplementary angles

You might be interested in

Help please!

Mamont248 [21]

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B

Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1

cos (π) = -1, sin (π) = 0

Use the Quotient Identity: $\tan A=\dfrac{\sin A}{\cos A}$

<u>Proof LHS → RHS:</u>

$\text{LHS:}\qquad \qquad \dfrac{\cos \bigg(\dfrac{\pi}{2}+x\bigg)}{\cos \bigg(\pi +x\bigg)}$

$\text{Sum Difference:}\qquad \dfrac{\cos \dfrac{\pi}{2}\cdot \cos x-\sin \dfrac{\pi}{2}\cdot \sin x}{\cos \pi \cdot \cos x-\sin \pi \cdot \sin x}$

$\text{Unit Circle:}\qquad \qquad \dfrac{0\cdot \cos x-1\cdot \sin x}{-1\cdot \cos x-0\cdot \sin x}$

$=\dfrac{-\sin x}{-\cos x}$

Quotient: tan x

LHS = RHS $\checkmark$

7 0

3 years ago

Read 2 more answers

What is - 3x - ( - 2 - 4x ) if x equals 5

m_a_m_a [10]

It would be 7 because -3 times 5

7 0

3 years ago

WILL GIVE BRAINLIEST

Rufina [12.5K]

Answer:

Step-by-step explanation:

rate of change of graph,df(x)/dx

=(120-0)/(3-1)=60

8 0

3 years ago

The Big Ben clock tower in London stands at a height of 316 feet. What is the metric equivalent in meters?

RideAnS [48]

96.31680m is the answer

5 0

3 years ago

The meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50 if she deducts this amount from the total, how much will e

Lemur [1.5K]

$52.95 - $2.50 = $50.45

$50.45 divided by 5 (number of people) = $10.09 per person

6 0

3 years ago

Read 2 more answers