# When are two angles called complements of one another? a. when together they are equal to 180 degrees c. when together they are equal to an acute angle b. when together they are equal to a right angle d. when together they are equal to an obtuse angle

Two angles are said to be complements of one another only when:
→ Makes a right angle
→ They add to 90 degrees

Thus,
According to above. statement!

Option [ B ] :
When together they are equal to a right angle is CORRECT!

hope it helps!

## Related Questions

Add the numbers in the series 3+11+19+27+.....+395+403.

10353

Step-by-step explanation:

The given series is in arithmetic progression since the common difference is same which is 8.

To find the sum of series we can simply apply the formula'

S= n/2( first term + last term)

S is the sum and n is the number of terms

we also need to find the number of terms n

n = (last term- first term)/2 + 1

n= 51

s= 10353

There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?

3/8

Step-by-step explanation:

and there is 3 cheese pizza so its 3 over 8.

3/9

Step-by-step explanation:

The slope of the _________________ is determined by the relative price of the two goods, which is calculated by taking the price of one good and dividing it by the price of the other good. Opportunity cost productive efficiency budget constraint production possibilities frontier

The answer is - budget constraint

Step-by-step explanation:

The slope of the budget constraint is determined by the relative price of the two goods, which is calculated by taking the price of one good and dividing it by the price of the other good.

A budget constraint happens when a consumer demonstrates limited consumption patterns by a certain income.

Circletowns limits forms perfect circular shape it has a population of 20,000 and a population density of 480 people per square kilometers

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

What is the value of x? *
4x + 32
172°

x=35

Step-by-step explanation:

Because the 2 lines are parallel u kno 172=4x+32

from there: 172-32=4x or 140=4x, and then 140/4=x

To solve for 'x' in the equation 4x + 32 = 172, we isolate 'x' by first subtracting 32 from both sides of the equation. This gives us 4x = 140. Then, solving for 'x', we divide both sides by 4, resulting in 'x' equal to 35.

### Explanation:

To find the value of x, we need to use the process of algebraic simplification. In the equation provided, isolate x by subtracting 32 from both sides of the equation:

4x + 32 = 172

4x = 172 - 32

4x = 140

Next, solve for x by dividing both sides of the equation by 4:

x = 140 / 4

x = 35

Therefore, the value of x in the equation is 35.

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g Determine the critical values for these tests of a population standard deviation. ​(a) A​ right-tailed test with 16 degrees of freedom at the alphaequals0.01 level of significance ​(b) A​ left-tailed test for a sample of size nequals23 at the alphaequals0.1 level of significance ​(c) A​ two-tailed test for a sample of size nequals31 at the alphaequals0.1 level of significance

Step-by-step explanation:

We are to find critical values for the test given

a) df =16: Alpha = 0.01  and right tailed

Critical value= 2.583

b) df = 23-1 = 22: alpha = 0.1 and left tailed

critical= -1.717

c)df=31-1 =30:  alpha =0.1:  two tailed

t =1.697

Critical values can be obtained from critical t tables.

Left tailed will have negative sign and right tailed positive

The critical values for these tests of a population standard deviation can be found via looking up a chi-square distribution table at the specified degrees of freedom and alpha level. For a two-tail test, the alpha value needs to be divided equally in the two tails.

### Explanation:

To determine the critical values for these tests of a population standard deviation, we first need to understand the critical values for a chi-squared test. The chi-square test is used when the degrees of freedom and the level of significance (alpha) are known.

(a) A​ right-tailed test with 16 degrees of freedom at the alpha equals 0.01 level of significance: To find this critical value, we would check a chi-square distribution table at 16 degrees of freedom and alpha equals 0.01. The value we find is the critical value.

(b) A​ left-tailed test for a sample of size n equals 23 at the alpha equals 0.1 level of significance: Similarly, we would check the chi-square distribution table but this time at 22 degrees of freedom and alpha equals 0.1. Please note that degrees of freedom is calculated as n-1 which gives us 22 in this case.

(c) A​ two-tailed test for a sample of size n equals 31 at the alpha equals 0.1 level of significance: For a two-tailed test, we distribute the alpha equally in the two tails of the distribution. That means, we lookup chi-square distribution table for 30 degrees of freedom and alpha equals 0.05 to get our critical value.