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2 years ago

Determine the value of angle x and angle y

Mathematics

1 answer:

ss7ja [257]2 years ago

5 0

Answer:

Step-by-step explanation:

Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720

Since this looks like a regular hexagon each interior angle =720/6=120

Hence the inside angle touching the line is 120 (inside the hexagon)

Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,

Then y= 180-20=160

Then x=360-(160+120)=80 because sum of all angles round a point=360

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Please help !<br> I need the answers for #43 and #44

Vlad [161]

43. 9 + 10 + 13 + 13 = $45

45 - 1 = 44

44 x 4 = 176

176 + 8 = 184

184/4 = 46

46 tokens per person

44. a. 22 x 5 = 110

943/110 = 8.7

you will need 9 bookcases

b. 110 x 9 = 990

990 - 943 = 47

47 - 44 = 3

There will be 3 books on the third shelf.

4 0

2 years ago

5 2/3 gave to her 4 friends how much did each one receive

Olin [163]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

_________________________________

Step (1)

First we have to find all she has :

$5 \frac{2}{3} = 5 + \frac{2}{3} = \frac{5 \times 3}{3} + \frac{2}{3} = \\ \frac{15}{3} + \frac{2}{3} = \frac{17}{3}$

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4} = \frac{17}{12} \\$

So each of her friends receive 17/12 .

_________________________________

If it is 5 × 2/3

_________________________________

Step (1)

Firs we have to find all she has :

$5 \times \frac{2}{3} = \frac{10}{3} \\$

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{10}{3} \div 4 = \frac{10}{3} \times \frac{1}{4} = \frac{10}{12} \\$

So each of her friends receive 10/12 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

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4 0

2 years ago

What is the distributive property of 8(y-7)=-16

Alex_Xolod [135]

Step-by-step explanation:

$\text{The distributive property:}\\\\a(b-c)=ab-ac\\\\8(y-7)=(8)(y)-(8)(7)=8y-56\\\\\text{If you want whole solution:}\\\\8(y-7)=-16\\8y-56=-16\qquad\text{add 56 to both sides}\\8y-56+56=-16+56\\8y=40\qquad\text{divide both sides by 8}\\\dfrac{8y}{8}=\dfrac{40}{8}\\\boxed{y=5}$

4 0

3 years ago

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How do I simplify fractions and decimals?

Mila [183]

Answer:

Divide both the numerator and denominator by the largest number that divides evenly into both to simplify the fraction

In the example, divide 2 by 2, which equals 1, and divide 20 by 2, which equals 10. This leaves 1/10, which is the simplified form of the fraction with a decimal.

Step-by-step explanation:

6 0

2 years ago

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Jackson bought 3 pounds of candies for $9.75. c What was the price of these candies in cents per ounce?

Vladimir79 [104]

Jackson bought 3*16 = 48 ounces for 975 cents. The unit price in cents per ounce is ...
975 cents/(48 oz) = 20.3125 cents/oz

7 0

3 years ago

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