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3 years ago

Please help me with this and show your work...

Mathematics

1 answer:

inysia [295]3 years ago

6 0

9514 1404 393

Answer:

25) 90°

26) 85°

27) 60°

28) 80°

Step-by-step explanation:

In problems 25, 26, 28, the marked angles are adjacent interior angles, so have a sum of 180°. In problem 27, the marked angles are corresponding angles, so are congruent.

25) The two angles are equal, so each is 180°/2 = 90°.

26) (20x +5) +(24x -1) = 180

44x = 176 . . . subtract 4, simplify

x = 4 . . . . . . . divide by 44

20(4) +5 = 85

The bold angle is 85°.

27) 6x = 5x +10

x = 10

6x = 60

The bold angle is 60°.

28) (x+109) +(x+89) = 180

2x + 198 = 180 . . . . simplify

2x = -18 . . . . . . . . . . subtract 198

x = -9

x+89 = -9 +89 = 80

The bold angle is 80°.

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Let the no be x
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6 0

3 years ago

At a school, 147 147 students play at least one sport. This is 35 35% of the students at the school. How many students are at

dsp73

Answer:

420

Step-by-step explanation:

Assuming this is the problem:

At a school, 147 students play at least one sport. This is 35% of the students at the school. How many students are at the school?

147/35 = x/100

35x=147*100

35x=14,700

x=420

3 0

3 years ago

If triangle BNV ~ triangle BRG, BR=4x+7 and BG= 18 find the value of x

Bingel [31]

Answer:

x=5

Step-by-step explanation:

5 0

3 years ago

HELP ME PLEASE............................................................

mestny [16]

Answer:

2√6

Step-by-step explanation:

find the hypotenuse of the triangle thats 3 and 7

pythagorean

3 squared + 7 squared

16 + 49 = 57

√57 is the hypotenuse

√57 is also the base of the triangle that has side thats 9

pythagorean theorem

x squared + √57 squared = 9 squared

x^2 + 57 = 81

x^2 = 81 - 57

x^2 = 24

x = √24

x = √4 * √6

x = 2√6

7 0

2 years ago

Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate

Elan Coil [88]

Answer:

The answer is B) 0.57.

Step-by-step explanation:

In this problem we have to apply queueing theory.

It is a single server queueing problem.

The arrival rate is $\lambda=4$ and the service rate is $\mu=7$ .

The proportion of time that the server is busy is now as the "server utilization"and can be calculated as:

$p=\frac{\lambda}{c\mu} =\frac{4}{1*7}=0.57$

where c is the number of server (in this case, one server).

3 0

3 years ago