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Zepler [3.9K]
2 years ago
13

∠B=

Mathematics
1 answer:
ikadub [295]2 years ago
5 0

Answer:

Step-by-step explanation:

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Mrs. Sloan draws two figures on the board.
Trava [24]

A dilated shape will either be enlarged or compressed.

<em>Allen did not make any mistake, and the scale factor is 3.</em>

The dimension of the smaller rectangle (figure Z) is:

3 units by 4 units

The corresponding dimension of the bigger rectangle (figure Z') is:

9 units by 12 units

The scale factor (k) is calculated by dividing the dimensions of Z' by Z.

So, we have:

k = \frac{9}{3}

k = 3

or

k = \frac{12}{4}

k = 3

Notice that both values of k are the same (i.e. 3)

This means that the scale factor is 3

Also figure Z and Z' share the same center of origin at point X

This means that the center of dilation from Z to Z' is X

Hence,

Allen made no mistake, and she is correct about the scale factor.

Read more about dilations at:

brainly.com/question/13176891

5 0
3 years ago
Josie needs to rent a car from SureRide Car Rentals. The cost of renting a car is a one-time fee of $80 plus $0.75 per mile. Wri
12345 [234]
The equation should be: Rent = 80 + 0.75 * Miles, then the graph looks like:

5 0
3 years ago
Simplify by combining like terms 4s + 1/6s + 2 3/5s
HACTEHA [7]
<h3>The solution by combining like terms is 6.7667</h3>

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

4s + \frac{1}{6}s + 2\frac{3}{5}s

We have to simplify by combining the like terms

From given,

4s + \frac{1}{6}s + 2\frac{3}{5}s

Convert the mixed fraction to improper fraction

4s + \frac{1}{6}s + \frac{13}{5}s

Make the denominator same

\frac{4s \times 30 }{30} + \frac{1s \times 5}{6 \times 5} + \frac{13s \times 6}{5 \times 6}\\\\\frac{120s}{30} + \frac{5s}{30} + \frac{78s}{30}\\\\\frac{203}{30} = 6.7667

Thus the solution is 6.7667

7 0
2 years ago
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends prep
dolphi86 [110]

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

72=k3

72/3= k

24= k

So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

She would receive 96 points

8 0
3 years ago
Fraction 4 over 5n = Fraction 2 over 3. n = ___? Fraction 2 over 15 Fraction 5 over 6 1Fraction 1 over 5 1Fraction 7 over 15
erastova [34]
So, we know that

4/5n = 2/3

n = 2/3 x 5/4    . . . . .. if fraction is moved to other side of the equation the numerator and denominator will be swithced

n = 10/12     ......................... divide numerator and denominator by 2

n = 5/6

The answer is Fraction 5 over 6

8 0
3 years ago
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