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Dmitry [639]
3 years ago
12

Please help me to answer this question

Mathematics
1 answer:
ikadub [295]3 years ago
5 0
(180-x) + 18 + 30 + x/2 = 180

=> 180 + 48 - x + x/2 = 180

=> -x/2 + 48 = 0

=> x/2 = 48

=> x = 48×2 = 96°
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Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
Evgesh-ka [11]

Answer:

C 9

D 12

Step-by-step explanation:

9 is a corresponding angle to 5 and 12 is an opposite angle to 9

Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°

7 0
2 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Tatiana [17]

Answer: 9.4

Explanation: 8.4^2+4.3^2=

70.56+18.49=89.06

square root of 89.06 is 9.437

9.4 rounded off

7 0
2 years ago
Read 2 more answers
4 (j+17) -1 is greater than or equal to 19
Mars2501 [29]

4(j+17)-1\geq19\qquad\text{use distributive property}\\\\4j+68-1\geq19\\\\4j+67\geq19\qquad\text{subtract 67 from both sides}\\\\4j\geq-48\qquad\text{divide both sides by 4}\\\\j\geq-12

8 0
3 years ago
Read 2 more answers
Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
suter [353]

Answer:

117 in²

<u>Finding the area of the trapezoid:</u>

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

<u>Reviewing on how to find the area of the unshaded region:</u>

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

<u>Determining the height:</u>

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

<u>Determining the area of the unshaded region:</u>

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

<u>Determining the area of the shaded region:</u>

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

5 0
2 years ago
The question is:
Arlecino [84]
Y equals thirty two divided by two to the x power
y=32/(2^x)
I don't know how to put this into the form you needed, because I don't think that is possible, but perhaps the first blank is 32 the second is 1 and the third is 2 to the power of x

7 0
3 years ago
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