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2 years ago

What is the value of x?

Mathematics

2 answers:

erica [24]2 years ago

7 0

Answer:

x = 24

Step-by-step explanation:

(2x - 4) + (3x + 5) + (2x + 11) = 180°

Combine like terms:

7x + 12 = 180

Subtract 12 on both sides:

7x = 168

Divide 7 on both sides:

x = 24

CaHeK987 [17]2 years ago

7 0

X=24 in this equation.

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Find x,y, and z and please show all work.

lana [24]

Answer:

x = 47°

y = 10

z = 5

Step-by-step explanation:

They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.

The angles of a triangle add to 180.

x+90+43=180

x=47

z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5

Y is congruent to side 10, which also means it is equal to 10. Therefore y=10

6 0

2 years ago

A regular decagon has sides that are 8 cm long. What is the area of the figure? Round to the nearest whole number.

blsea [12.9K]

<u>Given</u>:

Given that the regular decagon has sides that are 8 cm long.

We need to determine the area of the regular decagon.

<u>Area of the regular decagon:</u>

The area of the regular decagon can be determined using the formula,

$A=\frac{s^{2} n}{4 \tan \left(\frac{180}{n}\right)}$

where s is the length of the side and n is the number of sides.

Substituting s = 8 and n = 10, we get;

$A=\frac{8^{2} \times 10}{4 \tan \left(\frac{180}{10}\right)}$

Simplifying, we get;

$A=\frac{64 \times 10}{4 (\tan \ 18)}$

$A=\frac{640}{4 (0.325)}$

$A=\frac{640}{1.3}$

$A=642.3$

Rounding off to the nearest whole number, we get;

$A=642 \ cm^2$

Thus, the area of the regular decagon is 642 cm²

Hence, Option B is the correct answer.

5 0

2 years ago

Help need the answer quick

Shalnov [3]

Answer:

6E hope this helps

6 0

2 years ago

Write the inequality!! Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find

Butoxors [25]

Answer: $\frac{35-28}{x} \leq 6$

Step-by-step explanation:

Let x be the average number of pounds Fido must loss.

Since, the initial weight of Fido is 35 pounds.

And, After losing the weight, the new weight of Fido in pounds = 28 pounds.

Then the time taken for losing the weight

= $\frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}$

= $\frac{35-28}{x}$

According to the question, it must lose weight within 6 months,

Thus, $\frac{35-28}{x}\leq 6$

Which is the required inequality to find the average number of pounds per month.

By solving it we, get, $x\geq \frac{7}{6}$

6 0

2 years ago

Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?

Misha Larkins [42]

Answer:

14 square units

Step-by-step explanation:

There are several ways we can find the area. Probably the easiest is to cut the kite in half vertically and find the area of each triangle. The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units. So each triangle will have a base of 7 and height of 2.

A = 1/2 bh

A = 1/2 (7) (2)

A = 7

The area of the kite is double that, so:

2A = 14

3 0

2 years ago

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