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deff fn [24]
2 years ago
7

Select all ratios that are equivalent to 4 : 5. (Lesson 4-1)

Mathematics
2 answers:
babunello [35]2 years ago
7 0

Answer:

A 2:2.5

Step-by-step explanation:

2:2.5 is the closest ratio to 4:5, it is half of said ratio

NikAS [45]2 years ago
6 0

Answer:

A, E,F

Step-by-step explanation:

Because I love math and I am very good at it.

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319 miles.

Step-by-step explanation:

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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB
Nina [5.8K]

\text{Hello there! :)}

x = 8\\\\AB = 128 \text{ units}

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\

\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\

\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40

\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8

\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8

\text{Substitute in this value of x into either AM or MB to solve for AB:}

AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}

5 0
3 years ago
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 2x − y = −3, and segment EH is on the line 2x − y = 1. Wh
umka2103 [35]

Answer:

They have the same slope of 2 and are, therefore, parallel.

Step-by-step explanation:

Given: Equation of FG is 2x-y=-3 and equation of EH is 2x-y=1

To find: Relation between segments FG and EH

Solution:

Slope of a line describes its direction and the steepness.

Two lines are said to be parallel if their slopes are equal.

2x-y=-3

Differentiate with respect to x

2-y'=0\\y'=m_1=2

where m_1 denotes the slope of the line FG

2x-y=1

Differentiate with respect to x

2-y'=0\\y'=m_2=2

where m_2 denotes slope of line EH

As m_1=m_2=2, lines are parallel

4 0
3 years ago
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