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2 years ago

I need help with problem 11

Mathematics

2 answers:

DIA [1.3K]2 years ago

7 0

Answer:

x = 68

Step-by-step explanation:

The formula for calculating the sum of interior angles of a polygon is: (n - 2) x 180° (where n is the number of sides)

This polygon has 5 sides, so the sum of the interior angles:

(5 - 2) x 180° = 540°

To find x, add together all the angle expressions, equate to 540 and solve for x:

U + V + W + Y + Z = 540

(x - 8) + (3x - 11) + (x + 8) + x + (2x + 7) = 540

Gather like terms: x + 3x + x + x + 2x - 8 - 11 + 8 + 7 = 540

Combine like terms: 8x -4 = 540

Add 4 to both sides: 8x = 544

Divide both sides by 8: x = 68

lisov135 [29]2 years ago

3 0

I really don’t know gang but be strong you can do it

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A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each

worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is $\frac5{16}$

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

$Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}$

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

$=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}$

$=\frac{5}{8}$

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

$=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}$

$=\frac{3}{6}$

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

$=\frac58\times \frac36$

$=\frac5{16}$

4 0

3 years ago

Simplify: -2 (x - 5) + 6x

Ulleksa [173]

Answer:

4x +10

Step-by-step explanation:

-2(x-5) +6x

-2x +10 +6x

4x +10

4 0

3 years ago

Read 2 more answers

A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?

vovikov84 [41]

Answer:

$SA=384\ in^2$

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is $r=4\ in$

The diameter of the sphere is two times the radius

$D=2r=2(4)=8\ in$

The length side of the cube is

$b=8\ in$

Remember that

The surface area of a cube is equal to the area of its six faces

$SA=6b^2$

substitute the value of b

$SA=6(8)^2$

$SA=384\ in^2$

6 0

3 years ago

Evaluate |x + y|, for x = 8 and y = -15. A. 7 B. -7 C. 23 D. -23

Ahat [919]

It's A because 8-15 is -7 but the absolute value parenthesis make it positive 7.

6 0

3 years ago

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Tees and Cops

WINSTONCH [101]

If altogether they spent a total of $71, and a cap cost $5, then the price of a t-shirt is $8. Option A is correct

From the question, we are told that all caps cost $5 each

Let the cost of each shirt be x:

If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps

If Bob returned two caps and two t-shirts, there will be 4 caps and 4 shirts left

If Carl bought three t-shirts and returned a cap, the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts

If they spent a total of $71, this means;

3(5) + 7x = 71

15 + 7x = 71

7x = 71 - 15

7x = 56

x = 56/7

x = 8

This shows that the price of a t-shirt is $8

Learn more here: brainly.com/question/16510024

3 0

2 years ago