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3 years ago

How do I do this ? I have 120 degrees but I need to solve for x

Mathematics

1 answer:

Darina [25.2K]3 years ago

3 0

Since the legs are the same length, we know that the remaining two angles must be the same.

120+2x=180
2x=60
x=30

Final answer: x=30 degrees

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Find a sequence of rigid motions to take each vertex of triangle ABC onto the

postnew [5]

Answer:

there is no shape

Step-by-step explanation:

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2 years ago

The area of a circle is 616cm find the radius

Leokris [45]

<h3>Given :-</h3>

Area of Circle = 616 cm²

Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

$\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \: \: π \: r \: ² \: }}}}}} \\\\$

<u>Putting values in the formula;</u>

$\\ \sf \implies \: Area \: = \: \pi \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: = \:\frac{22}{7} \times \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: \times \: \frac{7}{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \frac{ \: \: 4312 \: \: }{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \cancel{\frac{ \: \: 4312 \: \: }{22} }\: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \: 196 \: \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \:r \: ^{2} = \: 196 \: \: \: \: \\$

$\\ \sf \implies \: \:r \: = \sqrt{ \: 196 \: } \\$

$\\ \bf \implies \: \:Radius \: = 14 \: cm \\$

henceforth, the Radius of a circle is 14 cm ...!!

6 0

1 year ago

Read 2 more answers

ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale

nikdorinn [45]

it’s 63 because the sides are equal on both sides

7 0

3 years ago

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

zlopas [31]

Answer:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$