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Likurg_2 [28]
3 years ago
12

one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units. are these two figures scaled versio

ns of each other? if so, find the scale factor.if not,briefly explain why
Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer: The both triangle are not scale version to each other.

Explanation:

It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.

The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.

The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.

The proportion of small side is,

\frac{2}{11}

The proportion of large side is,

\frac{7}{37}

So,

\frac{2}{11}\neq \frac{7}{37}

Since the proportion are not equal, therefore  both triangle are not scale version to each other.

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Evaluate 4a + 7b + 3a − 2b for a = 5 and b = −3.
blsea [12.9K]

Answer:

<h2>20</h2>

Step-by-step explanation:

4a+7b+3a-2b\qquad\text{combine like terms}\\\\=(4a+3a)+(7b-2b)\\\\=7a+5b\qquad\text{put a = 5 and b = -3 to the expression}\\\\7(5)+5(-3)=35-15=20

5 0
3 years ago
Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba
Vesnalui [34]
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
3 0
3 years ago
Equation of a line into slope-intercept form, simplifying all<br> fractions.<br> 12x + 3y = -18
stellarik [79]

Answer:

y = -4x - 6

Step-by-step explanation:

12x + 3y = -18

Solve for y.

3y = -12x - 18

y = -12/3 x - 18/3

y = -4x - 6

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP WILL MARK BRAINLIEST!!
Papessa [141]

Answer:

Prime.

Step-by-step explanation:

x^2-7x+8\\

First let's multiply our outer coefficients in this case 1 and 8, so we have 1x8=8.  Now the point of this is to get the factors of 8 and see if we can get that middle term -7.  Factors of 8 are 1x8, 2x4 and that's it.  From there I notice that -8+1 = -7 and so:

x^2-7x+8 = x^2-8x+x+8 = x(x-8)+(x+8)

Notice that the (x-8) and (x+8) are not the same factors, therefore the factors are not any of those answer choices and so it's prime.  You can calculate the factors by using the quadratic formula, however I think that is beyond the scope of this question.

7 0
3 years ago
Twice a number plus 6 times the number is 72
ExtremeBDS [4]

Answer:

9

Step-by-step explanation:

Let the no be x

By the conditions given ,

2x + 6x = 72

8x = 72

x = 72/8

x = 9

therefore the no is 9

6 0
3 years ago
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