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
Goryan [66]
3 years ago
12

1. K is the midpoint of HN. HK = 4x + 5 and HN = 11x – 11. Solve for x and find KN.

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Since K is at the midpoint of HN then HK = KN = 4x + 5, thus

HN = HK + KN ← substitute values

11x - 11 = 4x + 5 + 4x + 5, that is

11x - 11 = 8x + 10 ( subtract 8x from both sides )

3x - 11 = 10 ( add 11 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Hence

KN = 4x + 5 = (4 × 7) + 5 = 28 + 5 = 33

You might be interested in
The height, h in feet, of a tennis ball that a player hit upward can be modeled by the equation h = 80t – 16t² , where t is time
ANTONII [103]

Here's link^{} to the answer:

bit.^{}ly/3gVQKw3

7 0
3 years ago
A milk bottle has radius 7cm and milk is filled upto a height
stich3 [128]

radius of bottle is 7 cm. height is 28 cm

so total milk in bottle is equal to total volum of bottle.

so volume of cylinder is = pi × r^2 × h

V = (22/7 )× 7×7×28 = 22×7×28

= 4312 cm^3

so volume of the milk before used to make tea is 4312 cm^3

now milk taken to make tea make height reduced to 20 cm.

so volume of the left milk in bottole is

= (22/7) × 7×7×20 = 22×7×20

= 3080 cm^3

so milk used for making tea = total milk before making the tea - total milk left in bottle after making the tea

= 4312 - 3080 = 1232 cm ^3

so volume of milk used

4 0
3 years ago
Write equivalent expression for 5a+30
sladkih [1.3K]

Answer:

5*(a + 6)

Step-by-step explanation:

5a + 30 =  5*(a + 6)

7 0
4 years ago
How long is 9/10 inches
stellarik [79]

-- It's exactly 10% shorter than 1 inch, and 92.5% shorter than 1 foot.

-- It's also approximately 0.01343 smoot (rounded). 

-- It's also approximately 2.286 centimeters, or 22.86 millimeters,
or 0.0000142 mile.

-- It's also approximately 0.000 000 000 000 000 002 418 light-year.

You see, "9/10 inch" is known and understood precisely wherever inches are
used in the world (everywhere throughout Liberia, Burma, and the USA) exactly
because "inch" is a unit that's exactly defined and agreed on in all those places. 
But when you come along and say "I don't know what an inch is, describe it to me
in terms of something else", then you throw people for a loop.

If you can tell us what other unit you want to measure with ... like a flower,
a finger, an animal, or something else that we're also familiar with, then
we'll compare "9/10 inch" to that item for you.  But that won't be exact,
because all of those things come in different sizes, and none of them has
a standard size that everybody agrees on.

8 0
3 years ago
In the first quadrant, you start at 5,4 and move 2 unit's left what point will you end up on
Rudiy27

You end up on Point (3, 4)

7 0
3 years ago
Read 2 more answers
Other questions:
  • WORTH 30 POINTS! Questions 9-16 seeking extra help. (attached image)
    15·1 answer
  • Identify properties used in each step
    14·1 answer
  • Name other places where you would see slope in the real world.
    11·1 answer
  • A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were m
    5·1 answer
  • Evaluate the expression 9
    6·2 answers
  • Can you help me please(:
    12·2 answers
  • Hopefully you can see it! Look on my profile to see more questions! Love y'all <3
    10·1 answer
  • Write the equation in standard form<br> using factoring.<br> f(x) = (x + 2)(x + 1)
    8·1 answer
  • Find the missing side length in the image below​
    9·1 answer
  • | -9 -11 | + 1 simplify
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!