Find the measures of HQE and AQG

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DF}{DE}[/tex] = [tex]\frac{y}{7}[/tex] ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

Answer:

There are infinity equivalent fractions to 3/9

Step-by-step explanation:

1 /3, 2 /6, 3/ 9, 4 /12, 5/ 15, 6 /18, 7/ 21, 8/ 24, 9 /27, 10/ 30, 11/ 33, 12/ 36, 13/ 39, 14 /42, 15 /45..........

Answer:

t ≤ -135

Step-by-step explanation:

multiply each side by 5 which then cancels out the 5 in the fraction then turns -27 into -135. Since we multiplied negatives we flipped the sign.

Step-by-step explanation:

Please refer to the attachment

9514 1404 393

Answer:

Step-by-step explanation:

1. The cube root is found by dividing the exponents by 3.

  [tex]\sqrt[3]{27a^{12}}=(3^3\cdot a^{12})^{\frac{1}{3}}=3^{\frac{3}{3}}\cdot a^{\frac{12}{3}}=\boxed{3a^4}\qquad\text{matches d}[/tex]

__

The factoring of the difference of cubes is ...

  a³ -b³ = (a -b)(a² +ab +b²)

Here, we have a=r^9 and b=s^10, so the factorization is ...

  [tex]r^{27}-s^{30}= (r^9-s^{10})(r^{9\cdot2}+r^9s^{10}+s^{10\cdot2})\\\\=\boxed{(r^9-s^{10})(r^{18}+r^9s^{10}+s^{20})} \qquad\text{matches d}[/tex]

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Work Shown:

100 + 22x = 298

22x = 298-100  ........ subtracting 100 from both sides

22x = 198

x = 198/22 .............. dividing both sides by 22

x = 9

It will take 9 months for her to pay off the sofa.

She pays the original $100, and then on top of that, she pays an extra 22*x = 22*9 = 198 dollars since she paid $22 per month for 9 months. So this leads to 100+198 = 298 dollars total to help confirm our answer.

Answer:

vvhfdefg

is c60

Answer:

well, there is no image but it could be..

4z,z+3z,2z+2z

Answer:

x = 2

Step-by-step explanation:

5 - x  = 7 - 2x

-x + 2x = 7 - 5

x = 2

Answer:

x=2

Step-by-step explanation:

5-x=7-2x

5+x=7 (Move 2x to the other side)

x=2 (Minus 5 from both sides)

Check:

5-x=7-2x

5-2=3

7-(2*2)= 7-4 = 3

(Correct)

The expression 27a^3 + 54a^2b + 36ab^2 + 8b^3​ has a cube root of 3a + 2b

From the question, the expression is given as

27a^3 + 54a^2b + 36ab^2 + 8b^3​

The above expression is the cube of the sum of two numbers or expressions

Where the numbers are

27a^3 and 8b^3​

The cube roots of 27a^3 and 8b^3​ are represented as

∛27a^3 and ∛8b^3​

Evaluate the cube roots

3a and 2b

Express as sum

3a + 2b

Hence, the cube root of the expression is 3a + 2b

Read more about cube root at

https://brainly.com/question/28716981

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Answer:

B. Area B = 17 x 3 C. Area A=11 x 12

9514 1404 393

Answer:

  y = 3x +5

Step-by-step explanation:

We are told the height increase is 3 ft in 1 year. That is the slope of the linear function representing height.

We are told that in year 1 the height was 8 ft, and that it was 3 ft less in the previous year. That is, it was 5 ft high in year 0. So, the y-intercept of the function is 5.

The slope-intercept equation is ...

  y = mx + b . . . . for slope m and y-intercept b

  y = 3x + 5

Answer:

I don't know

Step-by-step explanation:

but I am I sure that I can you please give it a shot if the harbor though I will Unite it to the wind strength and I will Unite it to the next level up and I will

Answer:

A. 25m B. 32m

Step-by-step explanation:

The hypotenuse of a triangle must be longer than the other sides.

Answer:

m=-4/9

Step-by-step explanation:

Hope this helps ❤

Answer:

24

Step-by-step explanation:

h×b/2

height×base/2

6×8/2

Answer:

(8; 4), (-6; -4) and (2; 8)

Answer:

7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

The additive inverse means the opposite number.

Answer:

7y + 10

Step-by-step explanation:

Group the like terms

3y + 4y +7+3

7y+ 10

The simplified expression of 3y + 7 + 4y + 3 is 7y + 10.

A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.

An expression or mathematical expression is a finite combination of well-formed symbols that adhere to context-dependent criteria.

Given:

The expressions, 3y + 7 + 4y + 3,

Simplify the above expression as shown below,

3y + 4y + 3 + 7    (Rearrange the variable and constant terms)

7y + 10   (Add the variable and constant)

Thus, the expression is 7y + 10.

To know more about the expression:

https://brainly.com/question/13947055

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Answer:

it is exposed faces so yeah

Step-by-step explanation:

Answer:

£11.22

Step-by-step explanation:

100% = £13.20

50% = £6.60

10% = £1.32

5% = £0.66

so you would add 10% and 5% together which gives you 15% and 15% is £1.98

and then you could to £13.20 - £1.98 which equals to £11.22  

Answer:

y-6=4(x+3)

Step-by-step explanation:

Answer:

11 km per hour

Step-by-step explanation

I literally took the quiz!

Answer:

3.667

Step-by-step explanation:

I know math (and how to use a calculator)

Answer:

V=247.8

Step-by-step explanation:

V=whl

V = (4.2)(5)(11.8)

Answer:

The answer is x = 43

Step-by-step explanation:

Solve for  B  by simplifying both sides of the equation, then isolating the variable.

hoped helped!

Brainly, please?

Answer:

B = 43

Step-by-step explanation:

1. Distribute.

5b + 15 = 4b - 28 + 2b

2. Combine like terms.

5b + 15 = 6b - 28

3. Get B on one side.

5b + 15 = 6b - 28

-5b + 28 = -5b + 28

43 = b

Answer:

1.5 meters

Step-by-step explanation:

1-.5+2-1=1.5