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3 years ago

Use the relationships in the diagram below to write an equation and solve for X

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

A. x^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900 - 324
x^2 = 576
x = sqrt 576
x = 24 <===

b. (2x + 20) + (2x) + (x) + (3x + 20) = 360
8x + 40 = 360
8x = 360 - 40
8x = 320
x = 320/8
x = 40

2x + 20 = 2(40) + 20 = 80 + 20 = 100
2x = 2(40) = 80
3x + 20 = 3(40) + 20 = 120 + 20 = 140

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~Help me with this please it’s a math test answer correctly and I will mark as BRANLIEST and I will give you 55 points!!

GREYUIT [131]

Answer:

the weight of 1 textbook is 2 pounds

the weight of 1 game is about 0.5 pounds

Step-by-step explanation:

1/2 of 2 = 0.5 pounds

0.5 times 8 (games) = 4

22 - 4 = 18

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4 years ago

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Which answers are examples of deductive reasoning?

Mariulka [41]

Answer:

The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

Step-by-step explanation:

Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.

Here we can see that in first case:

The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.

Case 2:

The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.

So only these two examples are based on deductive reasoning.

3 0

3 years ago

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Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12

Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

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4 years ago

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of beef?

Pie

Answer:

$13.77 for three pounds of beef

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3 years ago

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A 9x - 40 B 3x + 20 x = [?]

Mrrafil [7]

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

9x - 3x - 40 = 3x - 3x + 20

6x - 40 = 20

6x - 40 + 40 = 20 + 40

6x = 60

6x / 6 = 60 / 6

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

9(10) - 40

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3(10) + 20

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Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

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4 years ago

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