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Korvikt [17]
3 years ago
7

Use the figure to answer the questions.

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

a) Triangle ABE is similar to Triangle DCE by Angle-Angle-Angle postulate.

b) 4 cm

Step-by-step explanation:

a) angle A = angle D

And

angle B = angle C

(Alternate angles)

Angle AEB = Angle DEC

(Vertically opposite angles)

All three angles are equal, hence triangles are similar

b)

AB/DC = AE/DE

6/15 = y/10

y = 6×10/15

y = 4

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Help me solve this quickly please and show work!? I’m stuck
horrorfan [7]

I believe it is asking for x so I will be finding the value of x.

X = 4, work is shown below:

−2x=−3x+12−2x

Step 1: Simplify both sides of the equation.

−2x=−3x+12−2x

−2x=−3x+12+−2x

−2x=(−3x+−2x)+(12)(Combine Like Terms)

−2x=−5x+12

−2x=−5x+12

Step 2: Add 5x to both sides.

−2x+<u>5x</u>=−5x+12+<u>5x</u>

3x=12

Step 3: Divide both sides by 3.

3x/3 =1 2/3

x=4

5 0
4 years ago
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Vesnalui [34]

Answer: The filled out table is shown below in the attached image

===========================================================

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

--------------

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

----------------

So we have these values

  • A = 40
  • B = 26
  • C = 14
  • D = 21
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  • J = 10

7 0
3 years ago
Diameter of a circle is 6 miles, what is the circumference
sattari [20]

Answer:

C≈18.85mi

Step-by-step explanation:

E.G :   to solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches.

3 0
3 years ago
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Lola needs to buy apples for her bakery as they are having a pie competition!
Crank
She will need 30 apples more and 200 apples in total.
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A stack of 5 books weighs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
guajiro [1.7K]
Each book weighs 0.53 pounds when you round to the hundredths . This is because each book weighs the same and the stack of five weighs 9.5 pounds. Now, you divide 5 by 9.5 you get 0.52631579… and when you round the the hundredths you get 0.53
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3 years ago
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