All categories

3 years ago

Find the measures of the supplementary angles if their measures are in ratio of 2:3

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

Answer:

Two supplementary angles are 72° and 108° .

Step-by-step explanation:

we have given the measure of ratio of two angles is 2:3.

Let the two angles be 2x and 3x.

We know the sum of supplementary angle is 180°

Therefore,

2x + 3x = 180°

or 5x = 180°

or x = 180°/5

or x =36°

Hence, the first angle = 2x =2×36 = 72°

And Second angle = 3x = 3×36 = 108°

pentagon [3]3 years ago

4 0

Answer:

The measures are 72 degrees and 108 degrees.

Step-by-step explanation:

Supplementary angles means that the two angles add up to 180 degrees. So if we let the smallest angle equal x, we can say

x+(3/2)x=180

5/2x=180

Multiplying both sides by 2/5, we find

x=180*2/5=72

Thus, the smallest angle is 72 degrees. Now we subtract 72 from 180 to get 108. Checking our work, we see that 72:108=2:3. So, the measures are 72 degrees and 108 degrees.

You might be interested in

Graphing Linear Inequality<br><br> y≤ 3/5x-5

Damm [24]

$y\leq\frac{3}{5}x-5\\\\for\ x=0\to y=\frac{3}{5}(0)-5=0-5=-5\to A(0;-5)\\\\for\ x=5\to y=\frac{3}{5}(5)-5=3-5=-2\to B(5;-2)\\\\look\ at\ the\ picture$

3 0

3 years ago

Read 2 more answers

Reduce the fractions using the greatest common factor 7 over 12

Airida [17]

Answer:

7/12 cannot be reduced

Step-by-step explanation:

7 = 7

12 = 2 * 2 * 3

7 and 12 have no common factors other than 1, so the fraction 7/12 cannot be reduced. 7/12 is already written in lowest terms.

4 0

3 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$