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hammer [34]
3 years ago
10

The measure of angle W is 19 degrees more than three times the measure of angle V if the sum of the measures of the two angles i

s 199 degree find the measure of each angle
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer: angle w = 154 degrees

v = 45 degrees

Step-by-step explanation:

Let w represent the measure of angle W.

Let v represent the measure of angle V.

The measure of angle W is 19 degrees more than three times the measure of angle V. This is expressed as

w = 3v + 19

if the sum of the measures of the two angles is 199 degree, it means that v + 3v + 19 = 199

4v = 199 - 19

4v = 80

v = 180/4 = 45

w = 3v + 19 = (3 × 45) + 19

w = 154

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22. The measures of the angles of ADEF are in the ratio 2:4:4. What are the
denis23 [38]

The measures of the angles of Δ DEF are 36° , 72° , 72°

Step-by-step explanation:

The sum of the measures of the interior angles in any triangle is 180°

In Δ DEF

The ratio between the measures of its interior angles is 2 : 4 : 4

To find the measure of each angle

1. Find the sum of the ratio between the measures of its angles

2. Divide 180° by the sum of the ratio

3. Multiply the quotient by each ratio

∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4

∴ The sum of the ratio = 2 + 4 + 4 = 10

→    m∠D    :    m∠E    :    m∠F    :   sum of the ratio

→    2          :    4          :    4          :   10

→    ?          :     ?          :    ?          :   180°

Divide 180 by 10, then multiply the quotient by the components of

the ratio to find the measure of each angle

∵ m∠D = (2)\frac{180}{10}

∴ m∠D = 36°

∵ m∠E = (4)\frac{180}{10}

∴ m∠D = 72°

∵ m∠F = (4)\frac{180}{10}

∴ m∠F = 72°

The measures of the angles of Δ DEF are 36° , 72° , 72°

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

3 0
3 years ago
PLZZ could someone help me out with this and explain
jenyasd209 [6]

Answer:

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3 0
3 years ago
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lisabon 2012 [21]

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

8 0
2 years ago
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stira [4]

Before we do this problem, let's go over a little algebra terminology.

The number in front of your variable is called your <em>coefficient </em>and notice that the <em>x</em> at the end of the problem does not have a coefficient.

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Next let's change all our minus signs to plus negatives.

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Now let's simplify this by combining like terms.

We can combine our "x" terms first.

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