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cestrela7 [59]
2 years ago
11

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second tri

angle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.
Mathematics
1 answer:
valina [46]2 years ago
3 0

Yes julia is correct the run of the scond similar triangle will be b2=25.

<h3>What are simlilar traingles?</h3>

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}

\dfrac{3}{10}=\dfrac{7.5}{b_2}

b_2=\dfrac{7.5\times 10}{3}

b_2=25

Thus julia is correct the run of the scond similar triangle will be b2=25.

To know more about similar triangle follow

brainly.com/question/2644832

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4 0
3 years ago
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
Solve: 10(1 + 3y) = 20 <br> What does y equal?<br> Y =
marin [14]

Answer:

y = 1/3 ≈ 0.3

hope this helps! :)

6 0
2 years ago
write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3
lawyer [7]
<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

                 ⇒  if the slope of this line = - 8

                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 11  =  - 8 (x - (-1))                                

                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

                                        y  = - 8 x  + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

5 0
2 years ago
NO LINKS. Find the measure of the angle or arc indicated. Part 2<br>​
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9514 1404 393

Answer:

  14.  C) 136°

  15.  C) 40°

Step-by-step explanation:

Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.

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14) ∠H +∠W = 180°

  34x +55x +2 = 180

  89x = 178 . . . . . . . . . subtract 2

  x = 2 . . . . . . . . . . . . . divide by 89

  arc VX = 2(34x) = 68(2) = 136 . . . degrees

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15) The sum of angles in the triangle is 180°.

  ? + 80° + (120°/2) = 180°

  ? = 40° . . . . . . . . . . subtract 140°

6 0
2 years ago
Read 2 more answers
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