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3 years ago

What is the measure of angle x? Enter your answer in the box. ? º

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

56 + 41 + x = 180
97 + x = 180
x = 180 - 97
x = 83 <==

Lapatulllka [165]3 years ago

6 0

Answer:

Measure of ∠x is 83°.

Step-by-step explanation:

Let, the angle opposite to 41° has measure y°.

Since, <em>'Vertical angles have equal measure'.</em>

So, ∠y = 41°

Moreover,<em> 'The sum for angles of a straight line is 180°'.</em>

So, ∠x + ∠y + 56° = 180°

i.e. ∠x + 41° + 56° = 180°

i.e. ∠x = 180° - 97°

i.e. ∠x = 83°

Hence, measure of ∠x is 83°.

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Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

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The price of each

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$2c + j + 2d = 7.50$

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Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

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Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

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$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

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Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

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3 years ago

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Answer:

Step-by-step explanation:

let x be his mark in the fourth test, then

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3 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

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The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

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The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

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Hence, the length of the ladder is 97.8 feet