the triangles below are similar.

Answer:

Four pounds of strawberries costs $12: y=3x

Ben reads 5 novels per month: y=5x

Maya puts $4 into her bank account each week: y=4x

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

Answer:

19.13

Step-by-step explanation:

You take 342.98 and you minus 323.85

Answer:

True

Step-by-step explanation:

f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).

Being inverse simply means that it "reverses" the operation that was applied to it with the original function .

For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2

Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2

So, 2/1 is in fact the inverse of 1/2.

Hence, f-1(x) is the same as 1/f(x)

Answer:

c cause it says length = 5x

Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

The rate as a unit rate of 400 miles in 8 hours is 50 miles.

"The process of breaking down the cost to a smaller unit reveals the unit rate of the product. Since rate is a ratio that compares two different units."

Based on the given conditions,

Rate as a unit rate :

= [tex]\frac{400}{8}[/tex]

Cross out the common factor

= 50 miles

Hence, the rate as a unit rate of 400 miles in 8 hours is 50 miles.

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Answer:

25 i think

Step-by-step explanation:

When reflecting across the x axis, the x value stays the same and the y value becomes the opposite sign.

The new point would be (-8, 12)

Answer:

50

Step-by-step explanation:

5(3 + 7)

15 + 35 = 50

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

Answer:

Step-by-step explanation:

¼ + ⅔ = 11/12

1 - 11/12 = 1/12

He has 1/12 of £264 = £22 left

Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

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Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Answer:

A

Step-by-step explanation:

Answer:

1. 2/y-1

2. y-2

Step-by-step explanation:

The equation in blue is 2/y-1

The equation in red is y−2

So the answer is one solution

Answer:

d  and b

Step-by-step explanation:

Answer:

67100 millimeters

Step-by-step explanation:

Answer: Translate this sentence into an equation. The product of Greg's age and 6 is 102. Use the variable g to represent Greg's age.

Ans :-g*6=102

Step-by-step explanation: hope it help

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