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tiny-mole [99]
3 years ago
5

In a triangle the second angle measures twice the first and the third angle measures 5 more than the second. If the sum of the a

ngles measures is 180 , find the measure of each angle
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

Step-by-step explanation:

Let's define Angle 1 as <em>x</em>

<em />

Angle 1 = x

Angle 2 = 2x

Angle 3 = 2x + 5

x + 2x +2x + 5 = 180

5x + 5 = 180

5x = 175

x = 35

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

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Divide. Write the quotient in lowest terms.<br> 4 2/3 / 7
Degger [83]

The quotient in lowest term exists 2/3.

<h3>What is an improper fraction?</h3>

An improper fraction exists as a fraction whose numerator exists equivalent to, larger than, or of equivalent or higher degree than the denominator.

Given the quotient: $4\frac{2}{3} \div 7

Write $\frac{2}{3} in improper fraction

$4\frac{2}{3}= \frac{14}{3}

Dividing throughout by 7 on both sides of the equation, we get

$4\frac{2}{3} \div 7 = \frac{14}{3}\div 7

Change the division sign to multiplication by taking the reciprocal of 7

$\frac{14}{3}\div 7 = \frac{14}{3} \times \frac{1}{7}

Simplifying the above equation, we get

$\frac{14}{3}\div 7 = \frac{2}{3}

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To learn more about improper fractions refer to:

brainly.com/question/387381

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5 0
2 years ago
Use this diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 97 inches.
irina [24]

Answer: 48 inches, 14 inches, 21 inches and 14 inches.


Step-by-step explanation:

1. The perimeter of the trapezoid is the sum of the lengths of its sides. You know that the perimeter is 97 inches, then, you can write the following expression:

3.5x-1+x+x+1.5x=97\\7x-1=97

2. Now, you must solve for x, as following:

7x=97+1\\7x=98\\x=\frac{98}{7}\\x=14

3. Then length of each side is:

(3.5x-1)in=(3.5(14)-1)in=48in

1.5xin=(1.5)(14)in=21in

x=14in


7 0
4 years ago
Soo-Jin and mary had an equal number of beads. After soo-jin gave 54 beads to mary. Mary had 7 times as many beads as soo-jin ho
Irina18 [472]
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4 0
3 years ago
Read 2 more answers
COMPLETE<br> h<br> 50<br> The sum n(n+6) =<br> +<br> 1575<br> RETRY
ycow [4]

9514 1404 393

Answer:

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Step-by-step explanation:

The correct answer choice is marked. Evaluating it gives ...

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6 0
3 years ago
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Vikentia [17]
Triangle P isn't unique because all sides are equal and all interior angles are equal. 
8 0
3 years ago
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