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kogti [31]
3 years ago
14

What is the measure of angle B in degrees? A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has

an exterior angle with measure of 112 degrees. °
Mathematics
1 answer:
adoni [48]3 years ago
6 0

Step-by-step explanation:

The angle adjacent to 112° will form a straight angle along with 112° adding to 180°. That makes C: 68°

a+c+51 = 180

a+68°+51° = 180°

a+119° = 180°

a = 180° - 119°

a = 61°

a+b = 180°

61+b = 180

b = 180-61

b = 119°

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What's 5 divided by 47
Katen [24]
5 ÷ 47 equals .106 :)
4 0
3 years ago
Write the fraction 8/9 as a percent round to the nearest hundredth of a percent were necessary?
Flura [38]

Answer:

A

Step-by-step explanation:

To turn a fraction into a percent, you divide the numerator by the denominator.

8 divided by 9 = .8 repeated

To turn it into a percent, you move the decimal to the right 2 spaces.

.8 turns into 88.8 repeated

Then you round to the nearest hundredth

88.8 repeated rounds to 88.89.

7 0
3 years ago
Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.
kompoz [17]
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АGJ = 90°  ⇒ ΔАGJ is the right triangle.

<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
4 0
3 years ago
Read 2 more answers
A study was designed to investigate the effects of two​ variables, (1) A​ student's level of mathematical anxiety and​ (2) teach
Mashcka [7]

Answer:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

P(z>-2)=1-P(z

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(z>-2)=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 scores of a population, and for this case we know the distribution for X is given by:

X \sim N(440,20)  

Where \mu=440 and \sigma=20

We are interested on this probability

P(X>440)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

P(z>-2)=1-P(z

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(z>-2)=1-P(z

6 0
3 years ago
Quiz
Leto [7]

Answer:

1.  50⁴ + 2³ =6250008

2.  3³ x 4²= 432

Step-by-step explanation:

I just put it into the desmos scientific calculator. If your teacher lets you, it is a good calculator.

3 0
3 years ago
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