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elena-s [515]
4 years ago
13

(Distance/midpoint formula) - triangle ABC has vertices on the coordinate plane at A(-6.3, 7.2) B(2.2, 4.4) and C(5.6, -3.4) fin

d the length of BC.
Mathematics
1 answer:
Roman55 [17]4 years ago
3 0

Answer:

8.51 units

Step-by-step explanation:

Given:

A(-6.3,7.2),B(2.2,4.4), C(5.6,-3.4)

Length of BC can be obtained using distance formula.

For two points A(x_{1},y_{1}) and B(x_{2},y_{2}), length of AB is given as:

AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

Plug in 2.2 for x_{1}, 4.4 for y_{1}, 5.6 for x_{2}, and -3.4 for y_{2}. Solve for BC

BC=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\ BC=\sqrt{(5.6-2.2)^{2}+(-3.4-4.4)^{2}}\\ BC=\sqrt{3.4^{2}+(-7.8)^{2}}=\sqrt{72.4}=8.51

Therefore, the length of BC is 8.51 units.

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The answer is 375

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3 years ago
Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?
MA_775_DIABLO [31]
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

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so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

5 0
3 years ago
I NEED HELP ON QUESTION B AND C ASAP.
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Answer:

  • See below

Step-by-step explanation:

<h3>Part B</h3>

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

  • h = 1.8 cm - 0.3 cm = 1.5 cm
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Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

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<u>Total sand in the bottom part:</u>

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<u>Time taken:</u>

  • 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
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in ABC the measure of angle A is 2x+3 the measure of angle B is 4x+2 the measure of angle C is 2x-1 what are the measures of the
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IN A triangle, sum of all angles = 180 degrees

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B = 4(22)+2 = 88 + 2 = 90 DEGREES

C = 2(22) -1 44-1 = 43 DEGREES

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3 years ago
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