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vova2212 [387]
4 years ago
5

Find the missing measures

Mathematics
2 answers:
Brrunno [24]4 years ago
4 0

Answer:

y=107

x=73

z=73

Step-by-step explanation:

y and 107 are vertical angles, which means that they're the same value because they're vertically across from each other.

107 and x are supplementary angles, so x=180-107 or 73.

x and z are also vertical angles, so x=z=73.

Alecsey [184]4 years ago
4 0
The answer is:

X= 73
Y= 107
Z= 73
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A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A
olga55 [171]

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

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Step-by-step explanation:

7 0
3 years ago
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You can perform 4 push-ups in 24 seconds. Write an equation that represents the relationship between time x and the number of pu
Yuki888 [10]
Y= 1/6x is the answer because 4/24 is 1/6
5 0
2 years ago
The dividend is a factor of 60. The divisor is a factor of 18. The quotient is a multiple of 3. Use the numbers to find one poss
Anna007 [38]

Answer:

The dividend is 360, divisor is 6 and quotient is 60.

Step-by-step explanation:

Factors of 3= 3*1

Factors of 18= 3*2*3

Factors of 60= 3*2*2*5

Taking LCM= 3*2*2*2*3*5= 360

60 is a factor of 360

The dividend is 360

If 360 is divided by 6 we get 60 which is a multiple of 3

and 6 is a factor of 18.

Therefore the dividend is 360 divisor is 6 and quotient is 60.

6 0
3 years ago
Which point represents the unit rate?
uysha [10]
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6 0
3 years ago
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A mistake was made in mixing the lemonade—<br> PLEASE HELP!!
beks73 [17]

Answer:

Part A:

4 + x = y

0.5*4 + 1*x = 0.7*y

x = 8/3\ quarts\ of\ 100\%\ solution

y = 20/3\ quarts\ of\ 70\%\ solution

Part B:

x + y = 10

2x + 3y = 23

x = 7 and y = 3

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

4 + x = y

0.5*4 + 1*x = 0.7*y

Using the value of y from the first equation in the second one, we have:

2 + x = 0.7*(4 + x)

2 + x = 2.8 + 0.7x

0.3x = 0.8

x = 8/3\ quarts

y = 4 + 8/3 = 20/3\ quarts

Part B:

If he shoots a total of ten targets, we can write the equation:

x + y = 10

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

2x + 3y = 23

If we subtract the second equation by two times the first one, we have:

2x + 3y - 2*(x + y) = 23 - 2*10

2x + 3y - 2x - 2y = 23 - 20

y = 3

x + 3 = 10 ⇒ x = 7

4 0
3 years ago
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