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Serhud [2]
3 years ago
7

2. The two figures are similar. Write the similarity statement. Justify your answer.

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

Step-by-step explanation:

These are similar by SSS similarity.  The corresponding sides are all in proportion to one another.  For example, side AB is corresponding to side YZ, so the similarity ratios are

40/30 = 50/37.5

If you reduce both of those ratios down by division, you will get that both sides reduce down to 1 1/3.  Therefore, they are similar by SSS similarity.  Not congruency.  Congruency is different.

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Write a linear equation that passes through the points(2,-2) and (0,1)
Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1


So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0
2 years ago
Read 2 more answers
Bobby catches 8 passes in 3 football games. At this rate, how many passes does he
olasank [31]

Answer:

40 passes

Step-by-step explanation:

we know that

Bobby catches 8 passes in 3 football games

so

using proportion

Find out how many passes does he  catch in 15 games

\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes

7 0
3 years ago
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The length of an arc of a circle is 6.28 units, and the measure of the corresponding central angle is 1.12 radians. What is the
lorasvet [3.4K]
Hello,

arc=\theta \ * R\\\\
R= \frac{6.28}{1.12} =5,607142857...≈5.61
6 0
3 years ago
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Two angle measuresof this triangle are 60° which type triangles is it?
svp [43]

Answer:

An equilateral triangle has all three sides equal, and all three interior angles equal, too. In this case, each interior angle of an equilateral triangle is 60 degrees.

Step-by-step explanation:

4 0
2 years ago
The points A, B, and C lie on a line so that AB = 12 cm and BC = 13.5 cm. Find the length of segment AC. Give all possible answe
natita [175]

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

4 0
3 years ago
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