MATHEMATICS
MIDDLE SCHOOL

Answer:

Angle 4 is the complementary angle of 3 because the sum of these angles is 90 degrees.

What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

From the angle diagram, angle 4 makes the complete right angle.

The sum of the complementary angles is 90 degree

Angle 3 + Angle 4 = 90 degree

Thus, angle 4 is the complementary angle of 3 because the sum of these angles is 90 degrees.

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Answer:

Answer:

It is angle 4 because they make 90 degrees together. This is if there are choices for the problem.

It would be ∠4

MIDDLE SCHOOL

Simplify the radical expression 5/64

Answer:

40

Step-by-step explanation:

5√64 = 5 x 8 = 40

Answer:

√5

==

8

or

Sqrt5

over

8

Step-by-step explanation:

MIDDLE SCHOOL

Distributive property 5 * 23

Answer:

115

Explanation:

Just multiply 5 and 23

115

Explanation:

Just multiply 5 and 23

Answer:

115

Step-by-step explanation:

MIDDLE SCHOOL

A number increased by negative eight is equal to fourteen. Which equation could be used to find the number? n + 8 = 14

n - (-8) = 14

n + (-8) = 14

8 - n = 14

The equation that shows that the number increased by negative eight will be n + (-8) = 14. Hence, option C is correct.

What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the data given in the question,

Let the number be x.

The number x is increased by negative 8 times which is equal to 14.

Then the equation according to the statement is,

n + (-8) = 14,

Therefore, this concludes that option C is correct.

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It would be: C) n+(-8)=14

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HIGH SCHOOL

James is four years younger than Austin. If 2 times James age is increased by the square of austins age, the result is 28. Find the 2 ages. Use an algebraic solution

Let the age of Austin be a, then the age of James is a-4.

"If 2 times James age is increased by the square of Austins age, the result is 28."

means:

rearrange the quadratic equation and solve it:

add and subtract 1 to complete the square:

a+1=root 37 = 6 (approximately), so a=5

or a+1=root 37 = -6 (approximately), so a=-7, which is not possible

The age of Austin is 5, and the age of James is 1.

"If 2 times James age is increased by the square of Austins age, the result is 28."

means:

rearrange the quadratic equation and solve it:

add and subtract 1 to complete the square:

a+1=root 37 = 6 (approximately), so a=5

or a+1=root 37 = -6 (approximately), so a=-7, which is not possible

The age of Austin is 5, and the age of James is 1.