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zhuklara [117]
3 years ago
10

What theorem or postulate can you use to determine a relationship between these two angles? Solve for x.

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0
It's the consecutive interior angles theorem; it goes like this:

95° = (2x + 5)<span>°
90</span><span>° = 2x</span>
45<span>° = x

Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.
</span>


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What is the volume of the plastic rocket???
Marina86 [1]

Answer:

151 in^3

Step-by-step explanation:

The rocket consists of two shapes - a cone and a cylinder

the volume of the plastic = volume of cone + volume of cylinder

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7  

r = radius

the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5

Height of cone = 11 - 6 = 5

Volume of plastic = (22/7) x (2/5^2) x 6  + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151

5 0
3 years ago
A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8 hours in the afternoon, how many hours
Marianna [84]

Answer:

She worked  6\frac{7}{8} hours in evening.

Step-by-step explanation:

Let x be the hours she worked in evening,

Since, she works 1.75 hours less in the afternoon than in the evening.

So, the number of hours she worked in afternoon = x - 1.75,

According to the question,

x-1.75 = 5\frac{1}{8}

x= \frac{41}{8}+1.75      ( By adding 1.75 on both sides and change mixed fraction into simple fraction in right side )

x=\frac{41}{8}+\frac{175}{100}

=\frac{1025+350}{200}

=\frac{1375}{200}

=\frac{55}{8}

=6\frac{7}{8}

Hence, she worked  6\frac{7}{8} hours in evening.

8 0
3 years ago
Let n=0.222…
Elina [12.6K]
10n=2.22
-3n=-0.666
n2=0.444
7 0
4 years ago
Lots of point n brainliest SO help rq
nordsb [41]

Answer:

  • A. $6000

Step-by-step explanation:

Let the invested amount is x.

<u>Then the interest amount is:</u>

  • x*5*2.25/100 = 675
  • 0.1125x = 675
  • x = 675 / 0.1125
  • x = 6000

Correct choice is A

7 0
3 years ago
Ms. Adkins had a basket of tomatoes. She used 5/12 of the tomatoes to make soup. She used 2/12 in a salad. What fraction of the
natta225 [31]
5/12 of the tomatoes are left.
7 0
4 years ago
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