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sesenic [268]
3 years ago
8

Which table represents a relation that is not a function?​

Mathematics
1 answer:
frutty [35]3 years ago
8 0
D is not the function.
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The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri
emmainna [20.7K]

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0
3 years ago
Chuck built a garden in the shape of a rectangle in his backyard. The width of the garden is 7 feet and the length of the garden
Nastasia [14]
The answer is 25 because of the Pythagorean theorem. 49+576=625 625 squared=25
5 0
3 years ago
The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
Darina [25.2K]

Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

  (8/7)x² = 896

<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

  x² = (7/8)(896) = 784

  x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

__

<em>Additional comment</em>

The larger is (8/7)(28) = 32.

5 0
2 years ago
Find the value of c that makes each trinomial a perfect square.<br> x^2-13x+c
vova2212 [387]

Answer:

169/4

Step-by-step explanation:

x² - 13x + c

x² -2(x)(13/2) +(13/2)²

(13/2)² = 169/4 or 42 ¼

8 0
3 years ago
Mrs. Little would like to set up each station to be able to make 64 pancakes. How many teaspoons of salt should be measured out
dusya [7]

Answer:

48

Step-by-step explanation:

all you do is 64 times 3/4

5 0
2 years ago
Read 2 more answers
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