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3 years ago

Problem Solving with Angles Quiz Level

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Answer: x= 63, y= 27

Step-by-step explanation:

x and angle measure 117 are a linear pair. They sum to 180.

117+x= 180. Subtract 117 from both sides.

x = 63

Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.

63+y= 90. Subtract 63 from both sides.

y = 27

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3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

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3 years ago

What is the diameter of a cone with height 8 m and volume 150 m3 ? (1 point 7.5 m 15 m?

Hitman42 [59]

This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m

3 0

3 years ago