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2 years ago

Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.

Mathematics

1 answer:

earnstyle [38]2 years ago

5 0

Answer:

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

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In 4th grade :) help plss

Soloha48 [4]

Answer:

1. 570

2. 5,700

3. 57,000

Step-by-step explanation:

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2 years ago

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STatiana [176]

Answer:

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Step-by-step explanation:

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2 years ago

Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

2 years ago

What is the value of x in the figure shown below?

Gnoma [55]

Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

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2 years ago

Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven d

Troyanec [42]

Answer:

y = 60

Step-by-step explanation:

From the information we get:

x quantity of 4 dollars coffee used in the mix

y quantity of 7 dollars coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound ( 90 pounds)

Then 6*90 = 540 $

Therefore

x + y = 90 and

4*x + 7*y = 540

A two equations system we solve for x and y

y = 90 - x

4*x + 7* ( 90 - x ) = 540

4*x + 630 - 7*x = 540

- 3*x = - 90

x = 30 pounds and

y = 90 - 30

y = 60

We should use 60 pounds of the seven $ coffee

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2 years ago