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2 years ago

In the diagram, line f is parallel to line , and line e intersects line and g.

Mathematics

1 answer:

Rama09 [41]2 years ago

5 0

Answer:

x=2°

Step-by-step explanation:

(5x+35)°=45° because they are alternative angle

5x+35°=45°

5x=45°-35°

5x=10°

x=10°/5

x=2°

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In 2013, the Centers for Disease Control and Prevention surveyed 450,000 adults ages 18 and older and found that 79% of them do

belka [17]

Answer:

$Percent = 79\%$

Step-by-step explanation:

Given

$Adults = 450000$

$Rate = 79\%$ --- Those that do not get recommended amount of exercise

Required

The percentage that do not get the recommended amount of exercise

From the question, we have 79% to be the percentage of adults that do not get the recommended amount of exercise. This 79% represents the required percentage

Hence:

$Percent = 79\%$

6 0

2 years ago

The circle graph shows the percentage of time Jacob spent on homework in each subject last week.Time Spent on Homework12.5%25%ar

Goshia [24]

We are given a circle graph that shows the time spent on homework last week.

Jacob spent a total of 16 hours doing homework.

The time spent on doing science homework is given by

$\begin{gathered} t_{\text{science}}=25\%\: of\: 16 \\ t_{\text{science}}=\frac{25}{100}\: \times\: 16=4\: \text{hours} \end{gathered}$

The time spent on doing band practice is given by

$\begin{gathered} t_{\text{band}}=12.5\%\: of\: 16 \\ t_{\text{science}}=\frac{12.5}{100}\: \times\: 16=2\: \text{hours} \end{gathered}$

The difference between the time spent on science homework and band practice is

$difference=t_{\text{science}}-t_{\text{band}}=4-2=2\: \text{hours}$

Therefore, Jacob spent 2 more hours on science homework than band practice.

4 0

1 year ago

What is the y intercept of the linear function graphed here

Ne4ueva [31]

The y-intercept is (0,-1)

7 0

3 years ago

Read 2 more answers

If a $450 suit is on sale for $250, what is the discount rate (to the nearest percent)?

TiliK225 [7]

Answer:

40 or 45%

Step-by-step explanation:

4 0

2 years ago

What is the area of the shaded region to the nearest tenth?

Aleks04 [339]

Answer:

15.1

Step-by-step explanation:

We know that the area of the circle is $\pi r^{2}$ , but we are looking for the portion of the circle, this means we multiply it by the portion of the circle that is shaded.

Area of shaded region = $\pi r^{2} (\frac{x}{360} )$

where r = 4 and x = 108, the 360 comes from the fact that the total degrees around the circle is 360, so dividing the total amount of degrees by the angle will give us the portion we are looking for.

Area of shaded region = $\frac{108}{360} \pi 4^{2}$ = 15.1

Another way to think about it is that the area of the total circle is $\pi r^{2}$ , multiplying it by a fraction, a number less than 1, would give us a smaller value.

Hope this helps.

5 0

2 years ago