1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
3 years ago
12

Points J and K are midpoints of the sides of triangle FGH. Triangle F G H is cut by lines segment J K. Point J is the midpoint o

f side G H. Point K is the midpoint of side H F. Line segments G J and J H are congruent. Line segments H K and K F are congruent. The Length of J K is 2 y + 5 and the length of G F is 5 y + 3.
What is the value of y?

Mathematics
2 answers:
anastassius [24]3 years ago
7 0

Answer:

Value of y = 7

Step-by-step explanation:

By the midpoint theorem of the triangles,

"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."

Therefore, from the figure attached,

In ΔFGH,

J and K are the mid points of the two sides GH and FH.

By theorem, segment JK║GF and m(JK) = \frac{1}{2}m(FG)

(2y+5)=\frac{1}{2}(5y+3)

(5y + 3) = 2(2y + 5)

5y + 3 = 4y + 10

5y - 4y = 10 - 3

y = 7

seraphim [82]3 years ago
7 0

Answer:

Y = 7

Step-by-step explanation:

100% CORRECT

You might be interested in
You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 week
bonufazy [111]
Given:
initial deposit = 45
total deposit = 105
w = weekly deposit
x = no. of weeks = 5 weeks
y = amount in dollars
45 + 5w = 105
45 + 5w = 105
5w  = 105 - 45
5w =  60
w = 60/5
w = $12 weekly deposit.

y = $45 + $12x  
<span>x = (y - 45)/12

</span>To check:
y = 45 + 12(5)
y = 45 + 60
y = 105 total deposit in 5 weeks

x = (105-45)/12
x = 60/12
x = 5 weeks

I hope this help
8 0
3 years ago
Read 2 more answers
Please answer correctly! I will mark you as Brainliest!
andrew-mc [135]

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

5 0
3 years ago
Read 2 more answers
Can someone help me with this???
Varvara68 [4.7K]

Answer:

?????????????????????????

4 0
2 years ago
Write 0.4 as a fraction
scoundrel [369]
0.4 / 2 = 0.2

1/0.2 = 5

2/5 is the answer
4 0
3 years ago
Find the missing side or angle.
Nina [5.8K]

Answer:

a=4.1

Step-by-step explanation:

The Law of Cosines is given as:

a^2=c^2+b^2-2cb\cos A.

Plugging in given values, we get:

a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}.

8 0
3 years ago
Other questions:
  • Diameter is 3.14961 inches what is the circumference
    6·1 answer
  • for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy
    8·1 answer
  • Name 2 numbers that have an<br>absolute value of 5.<br><br>plz help!!!​
    11·2 answers
  • What would be the answer of my fractions <br> 9 1/2 + 4 3/5=
    7·2 answers
  • What is 5x-5=9x+3 ?????????????????????????
    15·2 answers
  • What is the value of x ?
    14·1 answer
  • Find the volume of the prism. A drawing of a rectangular prism. It has length equals to a mixed fraction of one and two third ce
    5·1 answer
  • The marked price of a camera is Rs.45000. If 15% discount is allowed and then 10% VAT is leived on it, Find the selling price of
    6·1 answer
  • PLEASE HELP IM STUCK :((<br> K is the midpoint of JL<br> If:<br> JK=9x-5<br> KL=7x+3<br> Find JL.
    7·2 answers
  • 3(x+4) Please answer :(
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!