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Temka [501]
3 years ago
13

What is the scale factor of this dilation?

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

1.333333333333

Step-by-step explanation:

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Find the values of x and y that make these triangles congruent by the HL Theorem.
RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3 By using distribution property.

2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

=3

So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0
2 years ago
Is the table proportional? 1,5 2,10 3,15​
elixir [45]

Answer:

no becuz its a whole number not a fraction

Step-by-step explanation:

ax+b

a=5

b=0

7 0
3 years ago
Plz help with this for brainiest
bearhunter [10]

Answer:

<C = 133 degrees

Step-by-step explanation:

<B = 90 - 43

<B = 47

<C = 180 - 47

<C = 133 degrees

8 0
2 years ago
I just need a little help on this ??! Please.
lawyer [7]

1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6

2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5

3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.

When working with problems like these, you need to isolate the variable on one side and get it by itself.

5 0
3 years ago
The density of titanium is 4.51 g/cm^3
forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

volume = \frac{mass}{density}

From given,

Density of titanium = 4.51 g/cm^3

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }

Now substitute the values into formula:

volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

341.95\ cm^3 =  0.0610237 \times 341.95\ in^3 = 20.86\ in^3

Thus volume of titanium is 20.86 cubic inches

6 0
3 years ago
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