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3 years ago

What is the midpoint of the line segment with endpoints (2, 14) and (6, 19)

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

(4, 15)

Step-by-step explanation:

let (x,y) is the mid point of line segment with endpoints (2,14) and (6,19)

we have,

x = (2+6)/2 = 4

y = (14+16)/2 = 15

Hence the midpoint of the line segment with endpoints (2,14), (6,19) is (4,15)

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What is the exact circumference of the circle?

fredd [130]

Data:

Formula: diameter = 2*radius

Formula: (Circle length)
 $C = 2* \pi *r$

Solving: Using the data
diameter = 2*radius
20 = 2*r
2r = 20
$r = \frac{20}{2}$
$\boxed{r = 10\:ft}$

Now, replace in the circumference length formula
 $C = 2 \pi *r$
$C = 2 \pi *10$
$\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark$

Answer:
The exact circumference of the circle is $20 \pi \:ft$

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3 years ago

In the figure below, segment CD is parallel to segment EF and point H bisects segment DE :

Grace [21]

Answer:

See explanation

Step-by-step explanation:

In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

$\angle DIH\cong \angle EGH$ as alternate interior angles;
$\angle DHI\cong \angle GHE$ as vertical angles;
$DH\cong HE$ because point H bisects segment DE (given).

Thus,

$\triangle DIH\cong \triangle EGH$ by AAS postulate

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3 years ago

What is the next term ofthe sequence 5z, 8x, 11v,...?

nexus9112 [7]

Answer:

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Step-by-step explanation:

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567891011121314

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3 years ago

A recipe uses 3/4 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe

Mademuasel [1]

Answer: 3/4 : 8/4

Step-by-step explanation:

flour = 2 = 2/1 = 4/2 = 8/4

make the denominators the same and you are good

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2 years ago

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natima [27]

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3 years ago