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Olenka [21]
3 years ago
9

This pair of figures is similar. Find the missing

Mathematics
2 answers:
Stels [109]3 years ago
6 0

Answer: x = 63

Step-by-step explanation:

since they are proportional to each other,

36/4 = 9

90/10 = 9

126/14 = 9

7*9 = 63

BlackZzzverrR [31]3 years ago
6 0

Answer:

x = 63

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{90}{10} = \frac{x}{7} ( cross- multiply )

10x = 630 ( divide both sides by 10 )

x = 63

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Mars2501 [29]

Answer:

Scale Factor = 2

Step-by-step explanation:

ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.

7 0
3 years ago
. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu
jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0
3 years ago
Cole is studying employment trends.
natali 33 [55]

Answer:

225

Step-by-step explanation:

So we know that 20% of the social workers he surveyed was 45 people. The easiest way to find all 100% of the social workers is to do 45 x 5 because 20% x 5 = 100%. So 45 x 5 = 225.

Hope this helped! :)

3 0
3 years ago
Use the subtraction property of equality to complete this statement. If y = 3 and 8x + y = 12, then
Over [174]
8x + y = 12 (substitute 3 for y) 
<span>8x + 3 = 12 </span>
<span>8x = 9 </span>
<span>x = 9/8 </span>

<span>If y = 3 and 8x + y = 12, then x = 9/8.

HOPE THIS HELPS!!</span>
6 0
3 years ago
Read 2 more answers
Give a reason why x=60 degrees
SSSSS [86.1K]

Answer:

alternate angles will be equal, so x = 60

Step-by-step explanation:

it's an equilateral triangle. all angles are equal to 60°. one of them is alternate to x as per the figure, so x = 60°

5 0
2 years ago
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