Find the value of x for the right triangle.




trigonometric ​

Answer:

CB : HF

CA : HG

CD : HE

DA : EG

DB : EF

AB : GF

If the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

The similarity law for triangles is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The equivalent ratios are based on the diagram will be,

CB: HF

CA: HG

CD: HE

DA: EG

DB: EF

AB: GF

Thus, if the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.

Learn more about the triangle here:

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Answer:

4 feet 10 in

Step-by-step explanation:

58/12= 4 10/12= 4 feet 10 in

Answer:

4ft 10in

Step-by-step explanation:

58/12 = 4 10/12

Answer:

Domain would be all real numbers

Step-by-step elelamation

Range would be either:  y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum

Answer:A

The mean is the average of all numbers, in this example it's to national averages which will have many numbers.

Answer:

372

Step-by-step explanation:

that's my answer hope it's help

Answer:

1000

Step-by-step explanation:

Answer:

Number of brownies = 30

Number of cookies = 15

Step-by-step explanation:

Given:

Cost of each brownie = $2

Cost of each cookie = $1.5

Total number of treats = 45

Total amount = $82.50

Find:

Number of cookies and brownie

Computation:

Assume;

Number of brownies = b

Number of cookies = c

So,

b + c = 45........eq1

2b + 1.5c = 82.50...........eq2

Eq1 x 2

2b + 2c = 90 ..................eq3

Eq 3 - Eq 1

0.5c = 7.5

c = 7.5 / 0.5

Number of cookies = 15

Number of brownies = 45 - Number of cookies

Number of brownies = 45 - 15

Number of brownies = 30

done,

hope this helps

.......

Answer:

2%

Step-by-step explanation:

Given  data

Sales = $8,900

Donated amount=  ​$178

Percentage of donated sales= Donated amount/ Sales*100

Percentage of donated sales= 178/ 8900*100

Percentage of donated sales=0.02*100

Percentage of donated sales=2%

Hence the percentage is 2%

Answer:

34.9%

Step-by-step explanation:

Z1=[tex]\frac{56-75}{8.6}[/tex] = -2.21

F(Z1) = 0.9861

Z2=[tex]\frac{72-75}{8.6}[/tex] = -0.35

F(Z2) = 0.6367

P(56<X<72)= 0.9862-0.6367= 0.349 = 34.9%

Answer:

-40 °F = -40 °C

Step-by-step explanation:

The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Complete the equation you can solve to find that temperature and then use it to find the temperature. Use the variable C to represent the number of degrees Celsius where degrees Fahrenheit and degrees Celsius are the same. The equation is . The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is °C.

F = 1.8 C + 32 (1)

There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius

Then,

F = C (2)

Substitute (2) into (1)

F = 1.8 C + 32 (1)

C = 1.8C + 32

Subtract 1.8C from each side

C – 1.8 C = 32

-0.8C = 32

Divide both sides by -0.8

C = 32 / -0.8

C = -40

Substitute C = -40 into (1)

F = 1.8C + 32 (1)

F = 1.8(-40) + 32

F = -72 + 32

F = -40

Therefore,

The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is -40

That is,

-40 °F = -40 °C

Answer:

$31.44

Step-by-step explanation:

According to the word problem, Peter has a coupon for 15% OFF.

This means the price will reduce by 15%.

To solve this, first, change the percentage (15%) to decimal form.

To do this, divide the percentage by 100.

15 / 100 = 0.15.

0.15 is the decimal form of 15%.

Next, multiply the decimal form of the percentage by the price.

36.99 x 0.15 = 5.5485

Lastly, subtract the product from the original price.

36.99 - 5.5485 = 31.4415

In this case, the product goes above the hundredths place.

So we must round 31.4415 to the hundredths place.

31.4415 ≈ 31.44

Therefore, the sneakers are $31.44 after the discount of 15%.

Answer:

-5/9

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] + ____ = 0

subtract [tex]\frac{5}{9}[/tex] from both sides of the equation

-[tex]\frac{5}{9}[/tex]               -[tex]\frac{5}{9}[/tex]

leaving you with

____ = - [tex]\frac{5}{9}[/tex]

Answer:

83/2x^2-50x-8

Step-by-step explanation:

multiplique los parentensis

42x^2+6x-56x-8-1/2x^2

calcula la diferencia

83/2x^2+6x-56x-8

agrupe los terminos semejantes

83/2x^2-50x-8

Answer:

29°

Step-by-step explanation:

:)

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer:

There is a 47cm difference between the two....

So you just added 28cm to 19cm to get 47cm....

Because 19-(-28) is 19 + 28.

Hope this helps :D

Step-by-step explanation:

Answer:

B) 47.5%

Step-by-step explanation:

Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.

Answer:

2 ...........

Answer:

10

Step-by-step explanation:

The pattern is multiplication by 2,

5x2 is 10

10x2 is 20,

and so on

Answer:

your answer is 10

Step-by-step explanation:

5 ,10 ,20 ,40 ,80

Answer:

5/8

Step-by-step explanation:

Answer:

5 * 10^2 times greater

Step-by-step explanation:

Here , we want to know how many times bigger is a certain number relative to another

What we have to do here is to make a division

We will have to divide (3 * 10^7) by (6 * 10^4)

That is;

(3 * 10^7) / (6 * 10^4) = 0.5 * 10^7/10^4

= 0.5 * 10^3 = 5 * 10^2

Answer:

16.07 milligrams

Step-by-step explanation:

From the question,

Using the formula of radioactive decay,

R/R' = 2ᵃ/ᵇ..................... Equation 1

Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.

Make R' the subject of the equation

R' = R/(2ᵃ/ᵇ)................ Equation 2

Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days

Substitute these values into equation 2

R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)

R' = 100/(6.222)

R' = 16.07 milligrams of plonium-210

he would have around 7 $ left hope this help

The roots are x = 4  and  2

I'm really sorry if this is wrong but basically 3x4 = 12 and 12x which they both could be mutiplied by 2 to get 24

Answer:

4a:3=8:2

so we multiply 4a to 2 equal to 8 times 3

4a×2=8×3

so a=3

Answer:

a = 3

Step-by-step explanation:

Express the ratios in fractional form , that is

[tex]\frac{4a}{3}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )

8a = 24 ( divide both sides by 8 )

a = 3

Answer:

67.5

Step-by-step explanation:

Im pretty sure this is the answer. A triangle is 180º so you do 180-45 and divide it by 2.

Answer:

67.5°

Step-by-step explanation:

The given angle is 45°, so the remaining to angles must collectively make up the rest of the 180°. In this situation, the opposite sides are congruent, and therefore the angles are identical. So, from the remaining 135° that need to be accounted for, we would simply divide by 2, and get 67.5°.

Answer:

6 sides

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , then

12x + 12 + 5x + 15 = 180

17x + 27 = 180 ( subtract 27 from both sides )

17x = 153 ( divide both sides by 17 )

x = 9

Then

exterior angle = 5x + 15 = 5(9) + 15 = 45 + 15 = 60°

The sum of the exterior angles of a polygon = 360° , thus number of sides n is

n = 360° ÷ 60° = 6