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Mashcka [7]
2 years ago
10

Angle measures and segment lengths. Algebra Find the value of each variable.

Mathematics
1 answer:
dolphi86 [110]2 years ago
8 0

Answer:

x = 60°

Step-by-step explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs  that are intercepted.

Therefore:

x = \frac{1}{2}(360 - 120) - 120)

x = \frac{1}{2}(240 - 120)

x = \frac{1}{2}(120)

x = 60°

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Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

8 0
3 years ago
Sa piajes egne baseball games this season. Her point totais for each game were 8. 14.4 7.6.14, 4 and 7. What was
levacccp [35]

Answer:

The mean number of scores per game is 8

Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

3 0
3 years ago
If 1/2 equals .5 what does it equal as a percentage
Dmitriy789 [7]
To convert decimal over to percent, we move the decimal place two places to the right. So 0.5 becomes 50%.
6 0
3 years ago
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50. and
Svet_ta [14]

Answer:

Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically Bo^c

P(Bo^c)= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= <u> P(Bo ∩ <50) </u> = <u> 0.25 </u> = 0.625

                       P(<50)            0.40

I hope it helps!

4 0
3 years ago
Write an equation of the line in slope-intercept form.<br><br><br><br><br><br> y = .
spayn [35]

Answer:

y=5/3x-2

Step-by-step explanation:

the equation for a line is y=mx+b, m is the slope the slope of this line is 5/3. B represents the y intercept, in this equation it is -2.

7 0
3 years ago
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