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3 years ago

What is the measure of triangle X in degree

Mathematics

1 answer:

Anna11 [10]3 years ago

5 0

Answer:

A.) 40°

Step-by-step explanation:

A triangle is equal to 180°

Angle X and Y has the same angle, so both have 70°.

So:

70° × 2= 140°

To find the degree of the last angle, subtract the known degree, which is 140°, from the overall degree, which is 180°.

So:

180° - 140°= 40°

Answer= 40°

I hope this helps! :)

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Find the value of x and the length of each side

AlladinOne [14]

The 3 sides of the triangle are PR = 8.4, OR = 5.4 and OP = 3.1

Step-by-step explanation:

Step 1 :

Given

PR = 3x - 0.6

OP = x + 0.1

OR = x + 2.4

Also the 2 sides OR and PR are said to be equal.

So we have OR = PR

=> 3x - 0.6 = x + 2.4

=> x = 2.4 + 0.6 => x = 3

Step 2 :

we have ,

PR = 3x - 0.6 = 3(3) - 0.6 = 8.4

OR = x + 2.4 = 3 + 2.4 = 5.4

OP = x + 0.1 = 3 + 0.1 = 3.1

Step 3 :

Answer :

The 3 sides of the triangle are

PR = 8.4

OR = 5.4

OP = 3.1

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3 years ago

Use identities to find the values of the sine and cosine functions for the following angle measure.

puteri [66]

Using the cosine double angle formula,

$\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}$

(Note I took the positive case since $\theta$ terminates in the first quadrant)

Using the Pythagorean identity,

$\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}$

(Note I took the positive case since $\theta$ terminates in the first quadrant)

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1 year ago

Is 7/8 greater than 3/4

lubasha [3.4K]

Answer: yes

Step-by-step explanation:

convert 3/4 so the denominator is the same for both fractions. you would just double the fraction : 6/8

now compare 7/8 and 6/8

7/8 is closer to a whole so yes it is greater x

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Answer:

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Step-by-step explanation:

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3 years ago

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PolarNik [594]

- 3/14 is your final answer.

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