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
Solnce55 [7]
3 years ago
15

Find x, GH, and HI .

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4

We can establish the following equality statement to solve for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

Combine like terms:
5x - 7 = 53

Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60

Divide both sides by 5 to solve for x:
5x/5 = 60/5

x = 12

Substitute the value of x into the equality statement to verify if it is the correct value for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).

Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25

HI = 2x + 4
HI = 2(12) + 4
HI = 28

Please mark my answers as the Brainliest, if you find this helpful. :)
You might be interested in
Erin started biking to the coffee shop traveling 10 mph, after some time the bike got a flat tire so Erin walked the rest of the
Maksim231197 [3]
First of all that’s a far coffee shop.

Erin traveled 6 hours on bike and 3 miles walking.

You can’t really explain this but if you need me to just comment
3 0
4 years ago
If 5(2x-1)=35,then x=
Juli2301 [7.4K]

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

6 0
3 years ago
Read 2 more answers
the difference friends between two numbers is 308 328 if the smaller number is 6524 what is the larger number ​
Temka [501]

Answer:3148521

Step-by-step explanation: cuz ik everything

8 0
3 years ago
A building contractor is to dig a foundation 45 feet long, 16 feet wide and 6 feet deep. The contractor pays 13 dollars per load
9966 [12]

9514 1404 393

Answer:

  • 160 yd³ must be hauled
  • $520 is the cost

Step-by-step explanation:

There are 3 feet in a yard, so the volume of the hole is ...

  (45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)

  = (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled

__

The cost is $13/(4 yd³), so the total cost will be ...

  ($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling

3 0
3 years ago
in the polynomial below what number should replace the question mark to produce a difference of squares x^2+?x-36
user100 [1]

A <em>difference of squares</em> is exactly what it suggests - the difference between two perfect squares. 25 - 9, 4 - 1, x² - 25, and 125 - b² are just a few examples. Differences of squares factor very nicely, too. For any difference of squares x² - y²:

x² - y² = (x + y)(x - y)

We can see that this is true by taking the right side of the equation and distributing:

(x + y)(x - y) = (x + y) · x + (x + y) · (-y) = x² + xy - xy - y² = x² - y²

We notice in our given expression that 36 is a perfect square - namely, 6². We want the expression x² + ?x - 36 to look like x² - 6², which we can accomplish if we replace the question mark with a 0.

3 0
3 years ago
Read 2 more answers
Other questions:
  • ‼️‼️does anyone know this
    6·1 answer
  • Explain how scaling a mixed number by 1/2 will affect the size of the number
    9·2 answers
  • Given b = 2 and h = 8, what is the equation of the graph if the parent function is y equals the square root of x ?
    8·1 answer
  • The cost of 6 team sweatshirts is $84.
    12·1 answer
  • Which statement correctly describes the number 62/495 and its equivalent decimal notation?
    8·2 answers
  • I need help asap please someone help
    7·1 answer
  • Https://skribbl.io/?kX5sVzzk3Iui join skribble.io game
    15·2 answers
  • answer this question first and you'll get a brainliest: Aaron's bird feeder holds 3/4 of a cup of birdseed. Aaron is filling the
    11·2 answers
  • Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
    14·2 answers
  • HELP???????????????????????????????????????????????????????? pls? (10 points) (image down below to make it easier to understand.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!