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zalisa [80]
2 years ago
8

Is a || b ? Explain with angle measurements

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

Answer: No, lines 'a' and b are not parallel

=============================================================

Explanation:

We are given that line p is parallel to line q, which means angle 9 = angle 6 as they are alternate interior angles.

So angle 6 is 110 degrees. But this clashes with angle 8 being different at 70 degrees. Angles 6 and 8 must be congruent if we wanted lines 'a' and b to be parallel. Angles 6 and 8 are corresponding angles.

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Write an expression to represent the perimeter of Melissa’s garden in terms of x.
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X means neon lights it just so hard to stay attached to this world
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3 years ago
Choose the correct Set-builder form for the following set written in Roster form: { − 3 , − 2 , − 1 , 0 , 1 }
ohaa [14]

The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

<h3>What is an integer?</h3>

An integer is a number that can be written without using a fractional component. Integers such as 21, 4, 0, and 2048 are examples.

The correct Set-builder form of the set that is written in Roster form can be written as,

{x|x is an integer and -3≤x≤1}

Hence, The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

Learn more about Integer:

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4 0
2 years ago
An item with an original price p dollars is on sale at 30% discount. Which expression is not equivalent to the price of the item
exis [7]

Answer:

p+_(n) + 70%

Step-by-step explanation:

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4 0
3 years ago
A man finds that the angle of elevationof a building is 22º. After walking 20 m towards the building, he finds that the angle of
tensa zangetsu [6.8K]

Answer:

<em>The height of the building is 21.38 m</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.

It's required to find the height of the building H.

The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:

\displaystyle \tan y=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 22^\circ=\frac{H}{D+B}

Multiplying by D+B:

\tan 22^\circ(D+B)=H

Dividing by tan 22°

\displaystyle D+B=\frac{H}{\tan 22^\circ}

Subtracting B:

\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1]

Applying to the smaller triangle:

\displaystyle \tan 33^\circ=\frac{H}{D}

Multiplying by D:

\tan 33^\circ D=H

Substituting from [1]:

\displaystyle \tan 33^\circ \left(\frac{H}{\tan 22^\circ}-B\right)=H

Substituting values:

\displaystyle 0.6494 \left(\frac{H}{0.4040}-20\right)=H

Operating:

1.6074H-12.988=H

1.6074H-H=12.988

0.6074H=12.988

H = 12.988/0.6074

H = 21.38 m

The height of the building is 21.38 m

3 0
3 years ago
A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the
Ksenya-84 [330]

Answer:

Hey there! Since 20 is 25% of 80, there will be 20 carrots. I hope this was helpful!

Step-by-step explanation:

3 0
3 years ago
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