Angles STU and UTV combine to form right angle STV. Which expression could be used to find the measure,in degrees,of angle UTV?

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

STV=STU+UTV

But,
STV=90° and STU = 75°

Therefore,
90=75+UTV => UTV = 90-75

Therefore, expression A is the one that can be used to find UTV.

You might be interested in

How to make 5/6 into a percent

vekshin1

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as
x
100
.
Therefore we can write an equation as and solve for
x
:
x
100
=
5
6
100
×
x
100
=
100
×
5
6
100
×
x
100
=
500
6
x
=
83
.
¯
3
5
6
=
83
.
¯
3
%
or
83
1
3
%

5 0

3 years ago

A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent

frutty [35]

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

$P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%$