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Shkiper50 [21]
3 years ago
11

PLEASE HELP AND FAST

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0
When reflecting over the x-axis, the y value change.

When reflecting over the y-axis, the x value change.
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Answer:

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Step-by-step explanation:

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3 years ago
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How do I get to the answer of this question?
Elena L [17]

Triangle Similarity

We will use the SAS theorem to prove that Triangle TSG and Triangle PHG are similar.

First, we need to define the SAS similarity theorem:

<em>The Side-Angle-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.</em>

To use this theorem, we need to prove:

* Two sides of the triangles are in the same proportion

* The included angle between them is congruent with the other corresponding angle.

In triangle TSG, the longest side has a length of 7.5 + 5 = 12.5 feet

In triangle PHG, the longest (and therefore corresponding) side has a length of 5 feet.

The ratio between them is 12.5 / 5 = 2.5

In triangle TSG, the horizontal length is 4.5 + 3 = 7.5 feet

In triangle PHG, the horizontal (and therefore corresponding) side has a length of 3 feet.

The ratio between them is 7.5 / 3 = 2.5

Since the ratio measured on both corresponding sides is the same, we have satisfied the first condition of the SAS theorem.

The included angle is G, and it's the same for both triangles.

The reflexive property guarantees both triangles have congruent corresponding angles:

Angle G is congruent with (itself) Angle G

Thus, we have met the conditions for the SAS similarity theorem and therefore proven Triangle TSG and Triangle PHG are similar.

3 0
2 years ago
john has us and foreign stamps in his album. the ratio of the numer of us stamps to foreign stamps is 5:2. after paul gives him
VLD [36.1K]

Answer:

The number of U.S stamp he has is <u>120</u>.

Step-by-step explanation:

John has us and foreign stamps in his album. the ratio of the number of U.S stamps to foreign stamps is 5:2.

After Paul gives him 12 foreign stamps the ratio becomes 2:1.

Now, to find the number of U.S stamps.

Let the U.S stamps be x.

And the foreign stamps be y.

Now, to solve by using cross multiplication method:

<em>So, the ratio is:</em>

\frac{x}{y} =\frac{5}{2}

By cross multiplying we get:

2x=5y

<em>Dividing both sides by 2 we get:</em>

x=\frac{5y}{2}......(1)

Now, after Paul gives him 12 foreign stamps the ratio becomes:

\frac{x}{12+y} =\frac{2}{1}

<em>By cross multiplying we get:</em>

x=24+2y

Putting the value of x as we get in above equation (1):

\frac{5y}{2} =24+2y

<em>Multiplying both sides by 2 we get:</em>

5y=48+4y

<em>Subtracting both sides by 4y we get:</em>

y=48.

The number of foreign stamps = 48.

Now, to get the number of U.S stamps by putting the value of y in equation (1):

x=\frac{5\times 48}{2}

x=\frac{240}{2}

x=120.

Therefore, the number of U.S stamp he has is 120.

7 0
4 years ago
During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value
Alenkasestr [34]

Answer:

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Step-by-step explanation:

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3 years ago
Find the output, y, when the input, , is -1.<br> Y =
kozerog [31]

Answer:

To find output add 1.5 to every input number. Hopefully this helps

Step-by-step explanation:

4 0
3 years ago
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