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3 years ago

Brainly and points :)

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

(3/2)^3 = 27/8

27/8 x 8/3 = 27/3 = 9

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Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,

rusak2 [61]

When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

Row 1:

Given <GEF = 120°

<FEM is adjacent to <GEF, thus
$\angle FEM= \frac{360-2(120)}{2} \\ \\ = \frac{360-240}{2} = \frac{120}{2} =60^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.

Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.

Row 3:

Given that <FEM = 25°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.

Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(45)}{2} \\ \\ = \frac{360-90}{2} = \frac{270}{2} =135^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.

4 0

3 years ago

Read 2 more answers

25 mice were involved in a biology experiment involving exposure to chemicals found in ciggarette smoke. 15 developed at least 1

MAVERICK [17]

based on the number of mice that took part in the experiment, the total number of mice that had at least one effect is 20 mice.

<h3>how many mice had a health effect?</h3>

15 mice had at least 1 tumor while 4 mice had both a tumor and respiratory failure.

the number of mice with just a tumor is:

= 15 - 4

= 11 mice

the number of mice with respiratory failure alone is:

= 9 - 4

= 5 mice

the mice that had at least one symptom is:

= 11 + 5 + 4 mice with both

= 20 mice

question is:

what are the number of mice with at least one effect?

find out more on effects of smoking at brainly.com/question/12135800.

#SPJ1

3 0

1 year ago

Heather has a rectangular yard, she measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how

Temka [501]

Answer: $2,446.08

Step-by-step explanation:

Lets convert the length and width into decimal form so it's easier to understand.

24 1/2= 24.5

12 4/5= 12.8

Now we must multiply to get the area. 24.5x12. 8= 313. 6 ft

Each square inch costs .65 so we must multiply .65 by 12 to see how much a foot costs. 12x0.65= 7.8

Now that we know how much each foot cost lets multiply 313.6 by 7.8. 313.6x 7.8= $2446.08

3 0

2 years ago

Please answer this I need help

qaws [65]

The answer is c $320

8 0

3 years ago

Ian uses 4 feet of ribbon to wrap each package. How many packages can he wrap with 5.5 yards of ribbon?

finlep [7]

First you want to turn yard into feet so 5.5 times 3 which makes 16.5 then divide by 4 and you get 4.125 but you can't do that so it would be 4 packages

4 0

3 years ago