All categories

3 years ago

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Mathematics

2 answers:

ratelena [41]3 years ago

7 0

I just did this question!

Answers:

1) same side interior angles

2) (3x+4)+(2x+11) = 180

3) 77

Sveta_85 [38]3 years ago

5 0

Answer:

Part a) consecutive interior angles

Part b) $(3x+4)\°+(2x+11)\°=180\°$

Part c) m∠5= $77\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5= $180\°$

Part b) we have

m∠3= $(3x+4)\°$

m∠5= $(2x+11)\°$

substitute

$(3x+4)\°+(2x+11)\°=180\°$

Part c) solve for x

$(5x+15)\°=180\°$

$5x=180\°-15\°$

$x=180\°-15\°=33\°$

Find the value of m∠5

m∠5= $(2(33)+11)\°$

m∠5= $77\°$

You might be interested in

Two positive integers have a sum of 13 and a product of 22. what are the integers?

brilliants [131]

11 and 2. When you add them it equals 13. When you multiply it equals 22.

4 0

3 years ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

Triss [41]

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 25, \sigma = 4$