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4 years ago

Please help, x = ? thank you!

Mathematics

2 answers:

4vir4ik [10]4 years ago

6 0

Answer: 9.8

Step-by-step explanation:

This is a question that requires you to use ratios and proportions. The quadrilaterals that you have shown in the picture are similar, meaning that they share similar ratios and proportions. Thus, we can assume this:

- 5:7

- 3:4.2

- 2:2.8

- 7:x

To solve for x, we can just take any other ratio and equal it to the 7:x ratio. I'll take 5:7 for example.

$5:7 = 7:x$ , which can also be rewritten as $\frac{5}{7} = \frac{7}{x}$

Let's solve for x by cross-multiplying numbers that when a straight line is made, they are real numbers, and then divide.

Here, it should be:

$7*7 / 5 = 49/5 = 9.8$

The answer should be 9.8.

masya89 [10]4 years ago

4 0

Answer:

x = 9.8

Step-by-step explanation:

They are same shape so we just get the ratio.

AB/JK = BC/KL

5 / 7 = 7 / x

5x = 49

x = 9.8

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The radius of a circle is 1 foot. What is the area of a sector bounded by a 90 degree arc?

soldi70 [24.7K]

Answer:

The answer is 11/14 ft^2 or pi/4 ft^2

Step-by-step explanation:

The area of the sector bounded by that angle measure will be the area of the circle divided by 4

Area of the circle is;

pi * r^2

so the area here is;

22/7 * 1 * 1 = 22/7

divide this by 4

= 22/28 = 11/14 ft^2

8 0

3 years ago

Two polygons are similar. What is the correct similarity statement?<br>

joja [24]

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

6 0

3 years ago

Read 2 more answers

I know it’s a lot to ask but please show your work so I know how to do it. Thank you!

jonny [76]

Answer:

The answer to your question is below

Step-by-step explanation:

Use trigonometric functions to find x

13. cos 40 = 5/x

x = 5 / cos 40

x = 5 / 0.766

x = 6.5

14. tan 25 = x/9

x = 9tan 25

x = 9(0.466)

x = 4.2

15.- cos 65 = x/12

x = 12 cos 65

x = 12 (0.423)

x = 5.1

16.- sin 32 = 15/x

x = 15 / sin 32

x = 15 / 0.53

x = 28.3

17.- tan 55 = 20 / x

x = 20 / tan 55

x = 20 / 1.42

x = 14

18.- sin31 = x / 18

x = 18 sin 31

x = 18 (0.52)

x = 9.3

8 0

3 years ago

Let pn, n = 0,1,2,..., be the probability that an automobile policyholder will file for n claims in a five-year period. the actu

lara31 [8.8K]

<span>P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16

You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3

But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4

P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16</span>

3 0

3 years ago

The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.

Likurg_2 [28]

Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.

Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b

Thus,

y = -2x + 8

Answer is B

4 0

3 years ago