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frosja888 [35]
3 years ago
14

triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the sh

ortest side of triangle def if its perimeter is 60?
Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

The shortest sides is 12.5.

Step-by-step explanation:

5 + 8 + 11 = 24

60 / 24 = 2.5

So 2.5 * 5 = 12.5

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Write an expression to represent: The sum of four and the product of three and a number x xx.
Ira Lisetskai [31]

Answer:

4+3x

It's pretty straight forward, you have the number 4 that is added to the rest of the expression because sum is addition, and the product of 2 numbers is multiplication so it would make 3(x) or 3x, which results in 4+3x.

8 0
3 years ago
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
Read 2 more answers
Regular hexagon FGHIJK shares a common shares a common center with square ABCD on a coordinate plane .
timurjin [86]

Answer:

<h3>"The answer is the yellow lines in the attached figure. </h3>

Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.

We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

Hence these yellow lines are the required lines."

<h3><u>Hope this helps!</u></h3>

6 0
3 years ago
2.1 x 10^10 OVER 7 x 10^17
vlabodo [156]
2.1 x 10^10/ 7 x 10^17 
= 3 x 10^-8

hope this helps and have a great day :)


4 0
3 years ago
Read 2 more answers
The safety inspector in a large city wants to estimate the proportion of buildings in the city that are in violation of fire cod
storchak [24]

Answer:

Check Explanation.

Step-by-step explanation:

The sample will be a representative of the entire build us in the city.

For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %

The uncertainty in the estimate is given in the form of standard error.

Standard error = √[(p(1-p)/n]

n = sample size = 35, p = 0.0857, 1 - p = 0.9143

Standard error of the sample = √(0.0857×0.9143/35) = 0.1616

In terms of the population, (0.1616/35) = 0.00462

Proportion of buildings with fire code violations = (8.57 ± 0.462) %

8 0
3 years ago
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