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3 years ago

Angles that are congruent and supplementary must be

Mathematics

2 answers:

Lilit [14]3 years ago

8 0

I think straight angles ?

ExtremeBDS [4]3 years ago

3 0

Answer: d. right angles.

Step-by-step explanation:

If the sum of two angles is $180^{\circ}$ , then they are called as supplementary angles.

If two angles are equal then they are said to be congruent.

Let a and b be two angles which are congruent and supplementary

Then a=b [congruent]

And $a+b=180^{\circ}$

$2a=180^{\circ}\\\Rightarrow a=90^{\circ}$

Hence, the angles that are congruent and supplementary must be right angles.

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mr. ronaldo earns 54,800 annually. if his income tax rate is 9% then how much did he pay in income tax

Alik [6]

Answer:

Mr Ronaldo paid $4,932 in income tax

Step-by-step explanation:

In this question, we are asked to calculate the amount Mr Ronaldo pays in income tax

To calculate this, we need to calculate 9% of his annual earnings

His income tax = 9/100 * 54,800

Income tax = $4,932

3 0

3 years ago

What is the range of the linear parent function?

sasho [114]

Answer:

A. All real numbers

Step-by-step explanation:

We assume that the "linear parent function" is ...

y = x.

Its range is "all real numbers."

7 0

3 years ago

Simplify: 6 + (5 + 4) * 3

son4ous [18]

Answer:

Step-by-step explanation:

9 x 3 = 27 + 6 = 33

7 0

2 years ago

Read 2 more answers

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

4 0

3 years ago

If road A and C are parallel and road D is 2000 feet, Road c has a section 650 feet long how long is the rest of it

Sophie [7]

I think,
Road C equals 650, because road A is parallel it must equal the same.
So, 650 + 650 = 1,300
We already know that Road D equals 2,000, add it all up.
1,300 + 2,000 = 3,300
Hope this helped :)

4 0

3 years ago