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2 years ago

Which pairs of triangles can be shown to be congruent using rigid motions?

Mathematics

2 answers:

sergeinik [125]2 years ago

6 0

Answer:

Not congruent; not congruent; congruent; congruent; not congruent; not congruent.

Step-by-step explanation:

The base of △ABC, BC, is 2 units. The height of △ABC, extending from A to BC, is 3 units. This means that any triangle congruent to this will have a base of 2 and a height of 3.

△MNP has a base of 2; however, its height (from M to NP) is 4 units. Therefore they are not congruent.

△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.

△STU has a base of 2 and a height of 3; it is congruent to △ABC.

△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.

Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.

Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.

DanielleElmas [232]2 years ago

5 0

Answer:

Not Congruent: ABC and MNP , ABC and EFG , EFG and STU , STU and MNP.

Congruent: ABC and STU , EFG and MNP.

Step-by-step explanation:

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2 years ago

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height

goblinko [34]

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

$v = 1.54 \: l$

$v = 1540 \: {cm}^{3}$

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3 years ago

Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of

xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

$P(t)\times P(r)$

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

$\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}$

Hence the answer is

$\frac{1}{36}$

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Answer:

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Step-by-step explanation:

if there's a negative and a positive the result will be negative

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2 years ago