Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =

Answers

Answer 1

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer 2

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.


Related Questions

write a quadratic function in the given form whose graph satisfies the given condition.

has a vertex of (5, -2) & passes through the point (3, 6) in vertex form

pls help...important...dont steal

Answers

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

A local store buys video games from the manufacturer for $15.99. They mark up the price of the game 250%. What is the selling price of the video game? Round your answer to the nearest cent.
a.$55.97
b. $17.99
c. $19 99
d. 539.98​

Answers

Answer:

$55.97

Step-by-step explanation:

The image below shows the equation for Markups. I plugged the numbers into the equation, and got $55.97 (rounded)

I hope that helps!

PWEASE HELP, PWEASE PWEASE PWEASE HELP

Answers

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

17 is 12.5% of what number?

Answers

Answer:

Multiply 17 by 100 / 12.5 to get the answer

HELP PLSSSUAURUARGUWUEGWUWGS​

Answers

Answer:

mnq and pqs is the answer

Answer:

[tex]\angle{MNQ}\:and\:\angle{PQS}[/tex]

Matt is bringing 0.4 of a cake to school. What fraction of the cake is he bringing?

Answers

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

Help answer correctly or you'll get hack

Answers

1) -15
2)21
3)-49
4) 39
5)89

Answer:

1 ) - 15

2 ) 21

3 ) 49

4 ) 39

5 ) 89

Step-by-step explanation:

1 )

( - 8 ) + ( - 7 )

= - 8 - 7

= - 15

2 )

( + 12 ) + ( + 9 )

= 12 + 9

= 21

3 )

( - 43 ) + ( - 6 )

= - 43 - 6

= - 49

4 )

( + 23 ) + ( + 16 )

= 23 + 16

= 39

5 )

( + 73 ) + ( + 16 )

= 73 + 16

= 89

12 cans of Pepsi cost $5.99 Find the unit price of each can. Round your
answer to the nearest hundredth's place.

Answers

divide 5.99 by 12
0.499
rounded = 0.50
unit price is $0.5 per can

Answer:

0.50

Step-by-step explanation:

Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)

Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???

Answers

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

HELP ME W/ MY HW

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz

Answers

Answer:

7238.23

Step-by-step explanation:

452.16
fórmula: a= (3.14)(12x12)

What is the slope of the line with equation y-3-- _(x-2)?
5
4
P213)
3
2
1
(4.2)
-543
HL
1
2
3
4
5
x
2
-3
4
15


Answers

Answer:

B) -1/2

Step-by-step explanation:

(2, 3) and (4, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-3)/(4-2)

m= (-1)/2

m= -1/2

The Slope of the given line is -1/2.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We take two points from the graph as (2, 3) and (4, 2).

Now, the slope of line is

= (3-2)/ (4-2)

= -1 / 2

= -0.5

Using Slope intercept form

y= mx+ b

y= -0.5x+ b

and, b = 4

so, the Equation of line is y= -0.5x+ 4.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Can someone please help me with this!?!?!

Answers

They are congruent because of the angles, which means the congruency reason should be SAS.

-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)

Answers

The answer is 19v - 34w

Please qwnser correctly! I will mark you Brainleist

Answers

Answer:

the answer is 484

Step-by-step explanation:

volume of the pyramid = (11×11×12) ÷3 =484

Answer:

the answer would be 385

Step-by-step explanation:

just listen to this because I did this last year.

11 by 11 is 121

11 by 12 is 132

you can multiply by two and get all 4 triangles done and the answer would be 385

Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?

Answers

Answer:

Step-by-step explanation:

which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12​

Answers

the last one: x^2 + 8x + 12

The cone has a volume of 72 cubic centimeters and a height of 6 centimeters.
What is the radius of the base of the cone, in centimeters?

Answers

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

solve the compound inequality

Answers

Answer:

Given inequality:

-5r + 7 ≥ -7 - 6r ≥ 4r + 3

Solve in parts:

-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

Combine into one:

-14 ≤ r ≤ -1

or

r = [-14, -1]

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

C hope that helps have a good one and stay 28 - 6973

The black line is the graph of y=x. Which of these equations could represent the blue line?
A. y=2x
B.y= -x
C. y = 1/2x
D. 0.001x

Answers

I believe the answer you’re looking for a C step-by-step explosion : hope this helps :)

Find the perimeter. Round to the nearest tenth.

Answers

Answer:

25.6 I think

Step-by-step explanation:

I need help!!! Please Help me

Answers

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

A plant measured x inches tall last week and 8 inches tall this week.

Select the expression that represents the number of inches the plant grew this week.
(a) x-8
(b) 8-x

Explain how you know.

Answers

Answer:

8-x

Step-by-step explanation:

just like you are 20m tall last month and then 30 m tall this week

you grew 10 m additional

If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?

Answers

Answer:

Percentage decrease is 93‰

THERE IS A PHOTO
Find the value of x. Round your answer to the nearest tenth.
X
72
4

Answers

Answer:

Divide the two

Step-by-step explanation:

1)
Which property explains why these two expressions are equal?
-5(x - 4) = -5x + 20
A)
Associative Property
B)
Commutative Property
C)
Distributive Property
D)
Multiplicative Identity Property

Answers

Answer:

c) distributive property

Answer:

C (Distributive Property)

Step-by-step explanation:

The distributive property shows that you can use the distributive law, which allows you to rearrange an equation to be simplified

Who was in paris??????

Answers

Answer:

spongebob

Step-by-step explanation:

Answer:

i was in paris 3 years ago : )

PLZZZZZ HELP ME
Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen? 16/663 5/169 06/13 20/663 ​

Answers

Answer:

I would say 16/663 but I still have a suspicion it may be 20/663

Step-by-step explanation:

Answer:

20/633

Step-by-step explanation:

The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.

Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.

Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663

1. What units cannot be used to measure weight?
A. ton
O B. inch
O C. pound
D. ounce

Answers

Answer:

B. Inches

Step-by-step explanation:

Because it measures the length of something, Not the weight.

Answer:

C

Step-by-step explanation:

weight in the USA is usually measured in LBS (pounds)

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

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