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
ch4aika [34]
3 years ago
10

It’s a review please HELP ASAP I’ve been stuck on it for awhile now

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0
<h3>Answer:   7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

You might be interested in
The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).
Kay [80]

Answer:

  g(x) = |x| -9

Step-by-step explanation:

In the form ...

  g(x) = a|x -h| +k

the parameters are ...

  • a: the vertical scale factor (1)
  • h: the right shift of the vertex (0)
  • k: the upward shift of the vertex (-9)

The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

  g(x) = |x| -9

8 0
3 years ago
Carla runs 4 miles every day. She jogs from home to the school track, which is 3/4 mile away. She then runs laps around the 1/4
julsineya [31]
She runs 10 laps around the track I hope this helped ^^
8 0
3 years ago
Please help ASAP 40 pts
natali 33 [55]

Answer:

x=2

Step-by-step explanation:

We know AC = BC since this is an isosceles triangle

6 = 2x+2

Subtract 2 from each side

6-2 =2x+2-2

4 =2x

Divide each side by 2

4/2 =2x/2

2=x

4 0
3 years ago
Read 2 more answers
X² - 2X -35 WHAT IS THE ANSWER FOR THIS POLYNOMIAL
weeeeeb [17]

Answer:

(x-7)(x+5)

Step-by-step explanation:

-7 and 5 add up to 2 and multiply to -35

really need brainliest!!

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=5x%20%20%2B%2011%287x%20-%203" id="TexFormula1" title="5x + 11(7x - 3" alt="5x + 11(7x - 3"
Murljashka [212]

82x - 33 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

5x + 11(7x - 3) \\  = 5x + 77x - 33 \\  = 82x - 33

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

3 0
2 years ago
Other questions:
  • There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. The independent variable is
    9·2 answers
  • A grasshopper has a length of (5x - 2) inches. A spider has a length of (2x - 1) inches. How much longer is the grasshopper?
    10·1 answer
  • Continue the pattern<br> 7, 16, 8, 27, 9
    8·1 answer
  • Which set of expressions represents three consecutive integers?
    5·1 answer
  • 1/12 divided by 4 =
    13·2 answers
  • Consider the procedure used below to solve the given equation.
    15·1 answer
  • Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
    10·1 answer
  • Help!!!!!!!!
    7·2 answers
  • The sum of one half and one third, halved<br> 5th grade explation
    9·1 answer
  • Someone please help me I’ll mark brainliest
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!