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2 years ago

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Mathematics

1 answer:

yulyashka [42]2 years ago

4 0

Answer:

- If two angles are congruent, then they are right angles.

- It is true

Step-by-step explanation:

The given statement is;

If two angles are right angles, then it is said that they are congruent.

Now, from converse, inverse and contrapositive statements, we can say that if the conditional statement is given as "if x, then y", it means that the converse statement will be written as;

"If y, then x".

We just switched the hypothesis with the conclusion.

Therefore, the converse of the statement given in the question is:

If two angles are congruent, then it means they are right angles.

The original statement and the converse statement are equivalent, therefore the converse is true.

You might be interested in

The expression sin 57° is equal to

ValentinkaMS [17]

Answer:

$cos(33^{\circ})$

Step-by-step explanation:

Given

$sin(57^{\circ})$

Required

Determine an equivalent expression

In trigonometry:

$sin(\theta)= cos(90^{\circ} - \theta)$

In $sin(57^{\circ})$

$\theta=57^{\circ}$

Substitute $57^{\circ}$ for $\theta$

in $sin(\theta)= cos(90^{\circ} - \theta)$

$sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})$

$sin(57^{\circ})= cos(33^{\circ})$

Hence, the equivalent expression is: $cos(33^{\circ})$

5 0

3 years ago

HELP PLEASEEEE it’s due in 10 minutes

lana [24]

Answer:

24.187

Step-by-step explanation:

7 0

3 years ago

A scale drawing of Joshua's living room is shown below: width 4 length 6 If each 2 cm on the scale drawing equals 4 feet, what a

krok68 [10]

8ft by 12ft

the real question is why they randomly switched from metric to standard system. :P

3 0

3 years ago

Angela had $22.70 to spend on groceries. After buying 8 pineapples, she had $3.50 left. If each pineapple was the same price, wh

sesenic [268]

Answer:

$2.40

Step-by-step explanation:

First, you would do 22.70 minus 3.50, to get 19.20.

Then, you would divide 19.20 by 8, to get 2.4.

So, if each pineapple was the same price, each pineapple would be $2.40.

3 0

2 years ago

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

lara31 [8.8K]

Answer:

cos Θ = $\frac{4}{\sqrt{41} }$

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = $\sqrt{41}$

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = $\frac{adjacent}{hypotenuse}$ = $\frac{4}{\sqrt{41} }$

5 0

3 years ago