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guapka [62]
2 years ago
11

PLEASE HELP I WILL GIVE YOU MANY POINTS!!!

Mathematics
2 answers:
galben [10]2 years ago
7 0

___________________________________

\huge\underline{\tt{\red{Problem:}}}

  • Find the value of x. Give reasons to justify your solution.

<h2>Symbols:</h2>

\quad\quad\quad\quad\tt{ right \: \:  angle \: = (a)}

\quad\quad\quad\quad\tt{ interior \: \:  angle \: = (b)}

\quad\quad\quad\quad\tt{ exterior \: \:  angle \: = (x)}

<h2>Given that:</h2>

\quad\quad\quad\quad\tt{exterior \:  \: angle \:  = x+72°}

\quad\quad\quad\quad\tt{ interior \: \:  angle \: = 34°}

\quad\quad\quad\quad\tt{ right \: \:  angle \: = 90°}

<h2>Formula:</h2>

\quad\quad\quad\quad\tt{x \: = a + b}

<h2>Solution:</h2>

\quad\quad\quad\quad\tt{x+72° = 90 ° + 34°}

\quad\quad\quad\quad\tt{x+72° = 124°}

\quad\quad\quad\quad\tt{x = 124° - 72°}

\quad\quad\quad\quad \boxed{\tt{x = 52°}}

<h2>So, the final answer is:</h2>

\quad\quad\quad\quad \underline{ \color{magenta} \boxed{ \boxed{\tt{ \color{magenta}{x = 52°}}}}}

\huge\underline{\tt{\red{Reason:}}}

  • We know that an exterior angle is supplementary to interior angle. remember that the exterior angle is equal to the sum of the two opposite interior angles. Suppose that the measure of exterior angle is x + 72° and the measure of two interior angles are 34° with the right angle of 90°. We use (x = a + b) formula. Hence, we have the value of x = 52°. Thats all.

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

NARA [144]2 years ago
4 0

Answer:

x = 52

The exterior angle of a triangle is equal to the sum of the opposite interior angles

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x+72 = 90+34

Combine like terms

x+72 = 124

Subtract 72 from each side using the subtraction property of equality

x+72-72 = 124 -72

x =52

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Answer:

2

Step-by-step explanation:

5*2=10

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5*x+10=20

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10/5=2

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3 0
3 years ago
Read 2 more answers
b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.
Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

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<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ 2x

The third box contained two more pounds than the first box i.e.

⇒ x+2

The last box contained one-fourth the amount in the second box i.e.

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you are assembling desserts with a friend together you can make 12 desserts in 5 minutes. how many can you make in 20 minutes?
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You can solve this in two ways.

First way:
Let’s find out how many my friend makes in one minute.
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He makes 2.4 in one minute. Let’s multiply that by 20 to find what he makes in 20 minutes.
2.4•20=48
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Second way:
Let’s make a ratio.
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X desserts: 20 minutes
Whatever you do to one side, you have to do to the other. Since you are multiplying the minutes by 4, you have to multiply the desserts by 4.
12•4=48

So, my friend made 48 desserts.
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