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Zepler [3.9K]
3 years ago
9

Find the value of x in the triangle shown below help please!!

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Step-by-step explanation:

Hey there!!

It 's so simple.

You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)

So,

77° + 31° + x = 180°

x + 108° = 180°

x = 180° - 108°

Therefore the measure of angle x is 72°.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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A washer and a dryer cost $572 combined. The washer cost $78 less than the dryer. What is the cost of the dryer?
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3 years ago
Emma is making a recipe that needs 2 1/2 cups of sugar. Each
IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

  • The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

  • \displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}

Which gives;

  • \displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}}

\displaystyle  2 \frac{1}{2} = \frac{5}{2}

\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } =  \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10

Therefore;

\displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}} = 10 \, scoops

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

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