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matrenka [14]
3 years ago
15

What is Question I (if m<EBF = 117°, fine m<ABE)​

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
4 0

Answer:

m∠ABE = 27°

Step-by-step explanation:

* Lets look to the figure to solve the problem

- AC is a line

- Ray BF intersects the line AC at B

- Ray BF ⊥ line AC

∴ ∠ABF and ∠CBF are right angles

∴ m∠ABF = m∠CBF = 90°

- Rays BE and BD intersect the line AC at B

∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure

∴ BE is the bisector of angle ABD

∵ m∠EBF = 117°

∵ m∠EBF = m∠ABE + m∠ABF

∵ m∠ABF = 90°

∴ 117° = m∠ABE + 90°

- Subtract 90 from both sides

∴ m∠ABE = 27°

Pepsi [2]3 years ago
4 0

Answer:

m∠ABE = 27°

Step-by-step explanation:

In the figure attached, It is given that m∠EBF = 117°

and BF ⊥ AC (BF is perpendicular to segment AC)

Therefore, m∠ABF = m∠CBF = 90°

Now we know m∠EBF = m∠ABE + m∠ABF

                               117° = m∠ABE + 90°

m∠ABE = 117° - 90°

             = 27°

Therefore, measure of angle ABE is 27°.

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Which statement is not true about the patter shown?
brilliants [131]

Answer:

Each fraction is greater than the previous fraction.

Step-by-step explanation:

Every statement is true except, the one that says "Each fracton is greater than the previous fraction." This statement is not true. I know it looks like it, but let's think about it. Each fraction is equivalent to 2/3, which means they are technically equal to each other. So that means that each fraction is not greater than the previous one. This means that the statement "Each fraction is equal to the previous fraction in the pattern multiplied by 2/2" is a true statement.

2/3 x 2/2 = 4/6

4/6 x 2/2 = 8/12

8/12 x 2/2 = 16/24

16/24 x 2/2 = 32/48

So that means that the next fraction in the pattern is indeed 32/48, making the last statement true.

3 0
3 years ago
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor
marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

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3 0
1 year ago
A movie club offers two plans. Plan A charges $40 to sign up for the plan and $8 for each movie ticket. Plan B charges $67 to si
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Answer:

9

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X=Tickets bought

A=$40+$8x

B=$67+$5x

After 1 ticket bought it would be:

A=$48

B=$72

After 9 tickets bought:

A=$112

B=$112

From this you can see that Plan B is better for ones who would see 9+ movies as the recurring price would be lower. If you would only go to watch a couple movies, Plan A would be better.

3 0
3 years ago
Read 2 more answers
2. Two angle measures are in the ratio 5:9. Write
iris [78.8K]

The two angles are x and 9x/5

<h3 /><h3 />

Let the two angles we require be x and y.

<h3 /><h3>Ratio of both angles</h3>

We have that the ratio of both angles are x:y

Since both angles are in the ratio 5:9, we have that,

x:y = 5:9

⇒ x/y = 5/9

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So, we Make y subject of the formula

Multiplying both sides by y, we have

y × x/y = 5/9 × y

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Multiplying both sides by 9, we have

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Dividing both sides by 5, we have

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So, the two angles are x and 9x/5

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3 0
2 years ago
Drag each equation to the correct location on the table.
Ket [755]

Answer:

Hi! I hope this is correct please inform me if this is incorrect :)

a = 1 will have.

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ANY others I did not include in a = 1 :)

Please once again tell me if this is incorrect.

Step-by-step explanation:

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