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olchik [2.2K]
3 years ago
13

Find the value of x. The diagram is not to scale.

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

x=45

Step-by-step explanation:

The angle sum of a pentagon is 540°

Using this and the angles we know, we can create an equation.

90+148+112+x+3x+10=540 \\ \\ 360+4x=540 \\ \\ 4x=180 \\ \\ x=45

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If A (-3, 4) is one endpoint of a segment and B(-4,7) is the midpoint of the segment, find the other endpoint.
Nutka1998 [239]

Answer:

Take the slopes, such that 7-4/-4+3= 3/-1=-3

So one endpoijt is (-5,10)

8 0
2 years ago
A circle is drawn within a square as shown.
Vinil7 [7]
<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

Area\ of\ square = a^2

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

Area\ of\ circle = \pi r^2

Where, "r" is the radius of circle

Diameter = 10 cm

r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5

Thus,

Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

7 0
2 years ago
Which of the following numbers is NOT a solution<br> of the inequality 3x – 5&gt;_4x – 3 ?
Arte-miy333 [17]

Answer:

A)-1

Step-by-step explanation:

3x-5≥4x-3

3x-4x≥-3+5

-x≥2

x≤-2

(-infinity,-2]

-1 x

-2,-3,-5 ✓

8 0
3 years ago
Harriet Cutter’s gross pay for this week is $555. She is single and claims 1 allowances. What amount will be withheld from Harri
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Answer:

85 dollars will be withheld with a 7.65% income tax because she is only making 1,110 dollars.

Step-by-step explanation:

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A certain company manufactured and sold 2,500,000 mechanical pencils in 1990. Demand for the mechanical pencils increased by abo
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Answer:

I think its 4,600,000‬

Step-by-step explanation:

6 0
2 years ago
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