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3 years ago

The endpoints of EFare E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF?

Mathematics

2 answers:

jekas [21]3 years ago

3 0

The coordinates of the midpoint of EF is ((xE + xF)/2, (yE + yF)/2)
The third option is the correct answer.

algol133 years ago

3 0

Answer:

(C)

Step-by-step explanation:

It is given that the end points of EF are $E(x_{E},y_{E})$ and $F(x_{F},y_{F})$ .

Let the mid point of EF be M, then the coordinates of M can be found by using the mid point formula,

M= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

M= $(\frac{x_{E}+x_{F}}{2},\frac{y_{E}+y_{F}}{2})$

Thus, option C is correct.

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A triangle has a perimeter of 126 centimeters. The 2 longer sides are 3 times as long as the shortest side. Find the length of e

Vladimir [108]

The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm

Solution:

Given that triangle has perimeter of 126 cm

Let the length of the shorter side of the triangle be "a"

The 2 longer sides are 3 times as long as the shortest side

So length of 2 longer sides = 3(length of the shorter side)

length of 2 longer sides = 3a

The perimeter of triangle is given as:

perimeter of triangle = length of the shorter side + length of 2 longer sides

perimeter of triangle = a + 3a + 3a

126 = a + 3a + 3a

7a = 126

a = 18

So length of shorter side = 18 cm

length of 2 longer sides are each = 3a = 3(18) = 54 cm

Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm

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3 years ago

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Archy [21]

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3 years ago

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Give the value of x . A. 60 degrees B. 180 degrees C. 120 degrees D. 45 degrees

Harrizon [31]

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

$\alpha$

$60 + 60 + \alpha = 180 \\ \alpha = 180 - 60 - 60 \\ \alpha = 60 \\$

$\alpha + x = 180 \\ x = 180 - \alpha \\ x = 180 - 60 \\ x = 120$

5 0

2 years ago

What is 8/12 + A/12=2/b

il63 [147K]

Answer:

the answer i got was a=−8b+24/b

Step-by-step explanation:

hoped I helped:)

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3 years ago

For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh

snow_tiger [21]

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

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3 years ago