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Answer: a. x = 15, y = 40

Step-by-step explanation:

So we already know that ΔABC and ΔFDE are congruent, which means their angles are equal. Based on this information, we could note that:

∠A = ∠F

∠C = ∠E

∠B = ∠D

Since we already know the measurement of ∠B, we could then conclude that ∠D, or y, is equal to 40°. This leaves us with two possible answers, a or b.

In order to find the value of x, we need to know the measurement of ∠F. And in order to find ∠F, we need to find the measurement of ∠A. We already know that the angles in a triangle sums up to 180°. So we would start as the following.

∠A + ∠B + ∠C = 180

We first substitute the known measurements.

∠A + 40 + 110 = 180

We then add up 40 with 110.

∠A + 150 = 180

We finally substract 150 on both sides of the equation. This gives us the measurement of ∠A.

∠A = 30°

Now that we know ∠A, we could start finding the value of x. So we already know this:

∠A = ∠F

We first substitute each angle with their known measurements.

30 = 2x

We now divide both sides by two. This gives the value of x.

x = 15

Answer:

Whichever line has a slope of -2

Step-by-step explanation:

rewrite in slope intercept

y=mx+b     where m=slope

y=-2x+7

-2 is the slope of the original line

a parallel line will never intersect

the parallel line must have the same slope

Answer:

7 would be the constant

Step-by-step explanation:

Constants are the values in an equation that never changed or are isolated. For instance, 5 would not be a constant because of the variable (x) being multiplied. Though, if it were 5+x square +7, 5 and 7 would be the constants.

Answer:

20

Step-by-step explanation:

Answer:

12 im pretty sure

Step-by-step explanation:

12x12=144

this was the question that was on my test

Answer: 3, 3, 1

Step-by-step explanation:

(x+1)³= (x+1)(x+1)²

=(x+1)(x²+2x+1)

=x³+ 3x²+3x+1

They are equally spaced so all the circles share the same center point.

Answer:

I can help you.

Step-by-step explanation:

Mixed Number Form:

[tex] - 1 \frac1 2[/tex]

Answer: 919,80

Step-by-step explanation:

Answer:

920,000

Step-by-step explanation:

9   hundred thousands

1    ten thousands

9   thousands

8   hundreds

2   tens

7   ones

Rounding: 5 and up round up, 4 and below round down.

8 is higher than 4 so you round 919,827 to 920,000.

Answer:

x=1

Step-by-step explanation:

1) multiply the numbers

2) combine multiplied terms into a single fraction

3) distribute

4) combine fractions with common denominator

5) combine like terms

6) multiply all terms by the same value to eliminate fraction denominators

7) cancel multiplied terms that are in the denominator

8) multiply the numbers

9) add 35/4 to both sides of the equation

10) simplify

( add the numbers twice)

11) divide both sides of the equation by the same term

12) simplify

(divide the numbers, cancel terms that are in both the numerator and denominator, and last but not least move the variable to the left)

well and behold your answer is x=1

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

The percentage of decrease in the distance Theo travels to work is 66.7%.

Used concept of percentage;

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that;

Theo used to drive 60 miles to work each day.

And, His new home is now 20 miles away from his job.

Hence the percentage of decrease in the distance Theo travels to work is,

P = (60 - 20)/60 x 100

P = 40/60 x 100

P = 66.7%

So, The percentage of decrease in the distance Theo travels to work is 66.7%.

Learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ3

Answer: Take your pick, Emily.

Step-by-step explanation:

1) Assuming Emily wants both Chocolate Chip(CC) and Sugar Cookies(SC) in each basket, she could make 20 baskets having 1 CC and 2 SC in each basket. That would leave 8 SC (48-40) without any matching CC.

2) If Emily doesn't care about the makeup of each basket (e.g., some baskets may have any combination of cookies), she has a total of (20 + 48) or 68 cookies. She has the following choices:

1 cookie each: 68 baskets

2 cookies each: 34 baskets

3 cookies each: 22 baskets with 2 cookies left over

And so forth.

Unless Emily was given some other condition (e.g., a minimum of 5 cookies/basket), there are many possible answers.

Answer:

42.45 - 60 = - 17.55

Step-by-step explanation:

there is a 20 character limit so filler..

Answer:

[tex]n=-6[/tex]

Step-by-step explanation:

Thanks!!!!!

Answer:

Then machine A is twice as effiecent as machine B

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

As those two lines are parallel, we can express and equation:

[tex](6x + 18) + (4x - 8) = 180[/tex]

[tex]6x + 4x = 180 - 18 + 8[/tex]

[tex]10x = 170[/tex]

[tex]x = 17[/tex]

[tex]6x + 18 = 102 + 18 = 120[/tex]

Answer:

the answer is the third one k > - 5

Answer/Step-by-step explanation:

 Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{4}k+\frac{-3}{4}>-2[/tex]

Step 2: Add 3/4 to both sides.

[tex]\frac{1}{4}k+\frac{-3}{4}+\frac{3}{4}>-2+\frac{3}{4}[/tex]

[tex]\frac{1}{4}k>\frac{-5}{4}[/tex]

Step 3: Multiply both sides by 4.

[tex]4*\frac{1}{4}k>4*\frac{-5}{4}[/tex]

K > -5

 So according to this the value of k has to be greater than -5

You can check your answer by substituting the values in for k.

You can use a calculator..

[tex]\frac{-10-3}{4} >-2[/tex]  

[tex]\frac{-7-3}{4} >-2[/tex]

[tex]\frac{-1-3}{4} >-2[/tex]

[tex]\frac{0-3}{4} >-2[/tex]

Solve these and you will get your 2nd answer.

[RevyBreeze]

Answer:

[tex]x^{\frac{5}{8}}[/tex]

Step-by-step explanation:

8th root of x to the power fifth. This means the power will be 5/8

Your choice is correct .

Answer: c is the right answer

Step-by-step explanation: i just did it and i got it right.

Let the no be x

Inequality given by

[tex]\\ \sf\longmapsto 2(x-4)\leqslant -18[/tex]

Let's solve

[tex]\\ \sf\longmapsto x-4\leqslant -9[/tex]

[tex]\\ \sf\longmapsto x\leqslant -5[/tex]

Answer:

the value of x => x≤-5

Step-by-step explanation:

2(x-4)≤-18

x-4≤-18/2

x≤-9+4

x≤-5

hope it's helpful to you

Figure is not required .

Names of Pentagons are enough.

[tex]\\ \sf\Rrightarrow <P\sim <V[/tex]

[tex]\\ \sf\Rrightarrow <Q\sim <W[/tex]

[tex]\\ \sf\Rrightarrow <R\sim <X[/tex]

[tex]\\ \sf\Rrightarrow <S\sim <Y[/tex]

[tex]\\ \sf\Rrightarrow <T\sim <Z[/tex]

Answer:

what to do now

Step-by-step explanation:

Answer:

20 percent

Step-by-step explanation:

From the New Number deduct Old Number i.e. 2778-2315 = 463

Divide above number by Old Number i.e. 463/2315 = 0.2

Multiply the result by 100 i.e. 0.2*100 = 20%