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Law Incorporation [45]
3 years ago
7

Mary’s thinking of 3 consecutive even integers, X,Y, and Z. 3 times the value of Z exceeds half the value of X by 37. What’s the

value of Z
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer: The value of Z is 14

Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.

However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;

3(X + 4) = X/2 + 37

3X + 12 = X/2 + 37

3X - X/2 = 37 - 12

(6X - X)/2 = 25

6X - X = 25 * 2

5X = 50

Divide both sides of the equation by 5

X = 10

Therefore, Z (X + 4) equals 10 + 4 which gives you 14

The value of Z = 14

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<h3>What are the 3 sides of a triangle?</h3>

The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.

We use special terminology to define the sides of right triangles.

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5 0
1 year ago
The domain of g(x)=4x-12 is {1,3,5,7}. What is the range?
jeka57 [31]
{-8, 0, 8, 16} is the range
7 0
3 years ago
Read 2 more answers
I will give u brainliest
Dmitry_Shevchenko [17]

Answer:

1 & 2 = Right Triangles

3 & 4 = Not Right Triangles

Step-by-step explanation:

Solved Using Pythagorean Theorem:

1) 9^{2} + 12^{2} = 225

15^{2} = 225

2) 15^{2} + 36^{2} = 1521

39^{2} = 1521

3) 10^{2} + 26^{2} = 776

28^{2} = 784

4) 10^{2} + 12^{2} = 244

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3 0
3 years ago
HELP <br><br> Find the Axis of Symmetry
balu736 [363]

Answer:

Axis of symmetry= 3

Step-by-step explanation:

f(x)= 2x^2 +12x-4

f(x)=ax^2+bx+c

x=12/2(2)

x=3

f(x)= 2(3)^2+12(3)-14

f(x)= 2(9)+36-14

f(x)=18+36-14

f(x)= 54-14

y=40

7 0
2 years ago
Laura squeezed 18 oranges to make two glasses of juice please help
worty [1.4K]

Answer:

9 oranges per glass

Step-by-step explanation:

4 0
3 years ago
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