I need help please #23

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

[tex] 20 + \frac{x}{2} + 20 + (360 - x) = 360 [/tex]

[tex] 20 + \frac{x}{2} + 20 + 360 - x = 360 [/tex]

Collect like terms

[tex] 20 + 20 + 360 + \frac{x}{2} - x = 360 [/tex]

[tex] 400 + \frac{x}{2} - x = 360 [/tex]

Subtract 400 from each side

[tex] 400 + \frac{x}{2} - x - 400 = 360 - 400 [/tex]

[tex] \frac{x}{2} - x = -40 [/tex]

[tex] \frac{x - 2x}{2} = -40 [/tex]

[tex] \frac{-x}{2} = -40 [/tex]

Multiply both sides by 2

[tex] \frac{-x}{2} \times 2 = -40 \times 2 [/tex]

[tex] -x = -80 [/tex]

Divide both sides by -1

[tex] \frac{-x}{-1} = \frac{-80}{-1} [/tex]

[tex] x = 80 [/tex]

Step-by-step explanation:

which questions you were asking

Answer

-7

Step-by-step explanation:

opposite of 7

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Answer:

The area of the base of the pencil holder in square centimeters is  18 square centimeters

Step-by-step explanation:

The volume of a triangular prism is given as base area X height.

To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.

Base area = volume of prism / height

Base area = 216/12 = 18 square centimeters

Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters

Answer:I think it’s b too

Step-by-step explanation:

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

Answer:

25(b) + 4 = 129

Step-by-step explanation:

b=5

25(5) + 4=129

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

Answer:

[tex]2 \sqrt{14} [/tex]

Answer:

hey im not actually here to help you, i just need points. thanks for the points

Step-by-step explanation:

Answer:

180%

Step-by-step explanation:

100% +(20%)*4=100+80=180%