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Otrada [13]
3 years ago
15

The measures of the angles of triangle are 3x°,5x°,76°. Find the value of x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
Triangle = 180°

3x + 5x + 76 = 180
combine like terms

8x + 76 = 180
subtract 76 from both sides

8x = 104
divide both sides by 8 to isolate the variable

x = 13
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I am confused please help
Otrada [13]

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = \frac{(n-2)\times 180}{n}

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = \frac{(6-2)\times 180}{6}

A = 120°

Similarly, interior angle of the regular pentagon,

B = \frac{(5-2)\times 180}{5}

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = \frac{(8-2)\times 180}{8}

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

8 0
3 years ago
Respond to all of the questions within the topic (see that there are six questions below). 1. Explain how you can determine if t
Arturiano [62]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the
elena-14-01-66 [18.8K]

Answer:

Probability = \frac{1}{8}

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

P(B) = \frac{1}{2}

P(G) = \frac{1}{2}

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

Probability = P(B) * P(G) * P(G)

Substitute \frac{1}{2} for P(B) and P(G)

Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}

Probability = \frac{1 * 1 * 1}{2 * 2 *2}

Probability = \frac{1}{8}

<em>Hence, the fractional probability is </em>\frac{1}{8}<em></em>

<em></em>

7 0
3 years ago
Need help anyone know how to do this
Dmitry_Shevchenko [17]
X Coordinate: (-3a + 3a)/2
0/2 = 0

Y Coordinate: (b + b)/2
2b/2 = b

Midpoint: (calculated x, calculated y)

In this case, the midpoint should be (0, b)
3 0
3 years ago
A garden has an area of 32 square feet what is the smallest possible perimeter
stepan [7]

Answer:

24 feet

Step-by-step explanation:

factors that produce an area of 32:

1x32  Would give a perimeter of 66

2x16  Would give a perimeter of 36

4x8  Would give a perimeter of 24

6 0
3 years ago
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