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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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Answer:

Step-by-step explanation:

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Convection drives our dynamic planet. The planet’s liquid outer core convects, creating the Earth’s magnetic field; the ocean convects, enabling exchange of CO2 with the atmosphere and transporting nutrients from depth that support important fisheries; and the atmosphere convects, acting in concert with the ocean to transport heat and moisture around the planet to create climate.

Everyday examples of convection in liquids include lava lamps or water heating on a stove. But the mantle is, in general, solid. It turns out that rocks, along with most other solids, flow by a solid-state, creeping motion, especially when they are hot and given enough time. This is what happens in the mantle. Based on observations of the rates at which the surface of Earth moves, geologists estimate the mantle convectively flows at rates of several centimeters a year.

The heat driving mantle convection has three sources. "Primordial" heat (left over from the accretion and differentiation that led to the formation of Earth’s core) contributes 20 to 50% of the heat. Heating due to the decay of radioactive isotopes (mainly potassium, thorium, and uranium) contributes 50 to 80%. Thirdly, tidal friction from the Moon’s pull on the Earth contributes perhaps 10%. Mantle convection is the main mechanism by which this heat escapes from the interior of Earth.

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