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marishachu [46]

2 years ago

9

The diagonals of a square are _____. A. Sometimes equal B. Never congruent C. Parallel D. Perpendicular

2 answers:

Levart [38]2 years ago

6 0

<u>Answer:</u>

The correct answer option is D. perpendicular.

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

The diagonals of a square are perpendicular.

A square is a shape which has parallel sides (not parallel diagonals), has diagonals that are perpendicular bisector of each other and also its diagonals are congruent.

So according to these properties of square, options A, B and C are wrong and we are left with option D which is the correct one.

Roman55 [17]2 years ago

3 0

Answer:

d

Step-by-step explanation:

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UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

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2 years ago

List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number

Alik [6]

Answer:

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Step-by-step explanation:

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Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yellow how many white cars did

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Answer:

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