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GenaCL600 [577]
3 years ago
7

Alejandro reduced triangle A proportionally.

Mathematics
2 answers:
HACTEHA [7]3 years ago
5 0

Answer:

(1) Each side of triangle A is changed by a factor of 1/2.

(2) The unknown side length in triangle B has a measure of 7.5 units.

Step-by-step explanation:

It is given that Alejandro reduced triangle A proportionally.

It means triangle A and B are similar and their corresponding sides are proportional.

\text{Scale factor}=\frac{\text{Side length of image}}{\text{Corresponding side length of primage}}

From the given figure it is clear that the side of length 12 units is reduce to 6 units.

\text{Scale factor}=\frac{6}{12}

\text{Scale factor}=\frac{1}{2}

Each side of triangle A is changed by a factor of 1/2.

Let the unknown side of triangle B be x.

\frac{x}{15}=\frac{1}{2}

On cross multiplication we get

2x=15

Divide both sides by 2.

x=7.5

Therefore, the unknown side length in triangle B has a measure of 7.5 units.

zmey [24]3 years ago
4 0

Answer:

Each side of triangle A changed by a factor of 1/2.

The unknown side length in triangle B has a measure of 7.5.

Step-by-step explanation:

He made each side 1/2 as long so it changed by a factor of 1/2.  1/2 times 15 is 7.5.

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3/10 divided by -3/7
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Answer:

- 7/10

Step-by-step explanation:

There you go hope alls well.

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3 years ago
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Alice’s chicken coop (cage) has a total volume of 742 cubic feet (ft3). Use the fact that 1 foot is approximately equal to 0.304
skelet666 [1.2K]

Answer:

21.01 cubic metres

Step-by-step explanation:

We have to find the value of 1 cubic foot and then convert to cubic metre.

1 foot = 0.3048 m

1 cubic foot = (0.3048)^3 = 0.02832 cubic metre

A volume of 742 cubic foot will therefore be:

742 * 0.02832 = 21.01 cubic metres

The volume in cubic metres is 21.01 cubic metres

5 0
4 years ago
Forty students went on a trip on Wednesday. On Thursday, 15% less students went on a similar trip. How many students went on the
storchak [24]

Answer:

34

Step-by-step explanation:

40 * .15= 6

40-6 = 34

4 0
3 years ago
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At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He us
Umnica [9.8K]

Answer:

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

Step-by-step explanation:

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.

   90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.

so, the percent of students who love social studies is given by:

28/90 x 100=31.11%

   He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

6 0
3 years ago
Line a and b intersect, forming two adjacent angles, ∠1 and ∠2. If m ∠1= 7x-8 and
german

Answer:

x = 14; y = 8

Step-by-step explanation:

A perpendicular intersection means an intersection between 2 lines, forming angles of 90°. Then:

7x - 8 = 90°

11y + 2 = 90°

7x - 8 = 90

7x = 90 + 8

7x = 98

x = 98/7

x = 14

11y + 2 = 90

11y = 90 - 2

11y = 88

y = 88/11

y = 8

I hope I've helped you.

5 0
4 years ago
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