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1 year ago

LA and B are vertical angles. If mZA = then find the value of x. (7x – 27) and m B = (3x + 29)°,

Mathematics

1 answer:

zhuklara [117]1 year ago

4 0

we know that

Vertical angles are congruent angles

that means

substitute the given values

(7x – 27)=(3x + 29)

solve for x

7x-3x=29+27

4x=56

x=14

part b)

We know that

Supplementary angles are angles that their sum is equal to 180 degrees

A+B=180

substitute the given values

5x+25+x+17=180

solve for x

6x+42=180

6x=180-42

6x=138

x=23

Find the measure of Angle A

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nexus9112 [7]

Answer:

$270^o$ and $450^o$

Step-by-step explanation:

Recall that $\frac{\sqrt{2} }{2}$ is a value of the function cosine for the special angles: $135^o$ and $225^o$ , then:

$\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\$

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3 years ago

What are the numerical measures of each angle in the diagram? 1 and 3 measure degrees. 2 and 4 measure degrees. (3x - 1)º (2x +

Tanya [424]

Answer:

Step-by-step explanation:

In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.

Hence <1 = <3

Given < 1 = 3x-1 and <3 = 2x+9

Hence 3x-1 = 2x+9

collect like terms

3x-2x = 9+1

x = 10°

Since <1 = 3x-1

on substituting x = 10

<1 = 3(10)-1

<1 = 30-1

<1 = 29°

<1+<2 = 180 (angle on a straight line)

29+<2 = 180

<2 = 180-29

<2 = 151°

Similarly, on substituting x = 10 into <3

<3 = 2x+9

<3 = 2(10)+9

<3 = 20+9

<3 = 29°

<3+<4 = 180 (angle on a straight line)

29+<4 = 180

<4 = 180-29

<4 = 151°

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3 years ago

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During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for

Softa [21]

Answer:

use f(x)=y=mx+b

let snow = S, time = t instead of y and x

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The x-variable would be the time, t, in hours.

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For the first piece, i), t=3, so the amount of snow is 6 inches.

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3 years ago

The cost of highlighters is proportional to the number of highlighters purchased. If a 4

andrew-mc [135]

Answer:

The cost per highlighter is $0.60

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2 years ago

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Please someone help me to prove this.

dem82 [27]

<h3>Answer :</h3>

We know that,

$\dag\bf\:sin^2A=\dfrac{1-cos2A}{2}$

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Now, Let's solve !

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3 years ago

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