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igomit [66]
2 years ago
9

One of the angles in an intersecting line mesures 30

Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Think of the point, P,  where the lines intersect as the center of a circle.  The four angles with vertex P add up to 360 degrees.  The given angle and its paired vertical angle are both 30 degrees.  So, the other two angles are also vertical angles with sum 300 degrees (so each of them is a 150 degree angle).  

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James has 15 cookies. He want to divide them and give an equal number to his 3 friends. How many cookies should he give each fri
fgiga [73]

Answer:

5 cookies per friend

Step-by-step explanation:

15 divided by 3 is 5. So each friend should get 5 cookies.

4 0
2 years ago
Read 2 more answers
What is the x-intercept for y=7/4x+1/4
Brums [2.3K]

9514 1404 393

Answer:

  -1/7

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x.

  0 = 7/4x +1/4

Multiply by 4/7

  0 = x + 1/7

Subtract 1/7

  -1/7 = x

The x-intercept is -1/7.

_____

In decimal, that is -0.142857... (6-digit repeating decimal)

4 0
2 years ago
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20%
zhuklara [117]

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

p = 0.2*0.25 = 0.05

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

0.05 + 0.05*0.8 + 0.75*0.2 = 0.24

24% of the employees will suffer at least one lost-time accident over the two-year period

3 0
3 years ago
C. Tan k=31/24<br> D. Cos k= 31/24
lubasha [3.4K]

Hello!

The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.

The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.

In terms of K, the tangent is 31/24.

Therefore, our answer is C) tanK= 31/24

I hope this helps!

7 0
3 years ago
Which of the following represents the multiplicative inverse of -90?
storchak [24]
B because -90/1 and inverse is -1/90
4 0
2 years ago
Read 2 more answers
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