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
Vladimir [108]
3 years ago
12

HELP LOOK AT THE SCREENSHOT Find the value of x. (SHOW WORK)

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:  x = 2

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

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

----------------------

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

----------------------

Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3

x = 2

You might be interested in
3(t−2)=−1 What value of t t makes the following equation true?
pashok25 [27]

Answer:

t=5/3

Step-by-step explanation:

in order to get our answer, we have to first open it up which comes to 3t-6=-1

next,we have to isolate the variable, so we add (6) to (-1)

then we get 3t=5

so, t=5/3

4 0
3 years ago
Use the Distributive Property to factor the expression.<br><br> 24a+6=
emmainna [20.7K]

Answer:

6(4a+1)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE
Zina [86]

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by  3x+3\leq 30.

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

3 0
3 years ago
Solve for x . Help me
solmaris [256]
X = 26 because all the angles in a triangle add up to 180.
3 0
3 years ago
27/125 in simplest form
WINSTONCH [101]

\frac{27}{125}

It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

8 0
3 years ago
Read 2 more answers
Other questions:
  • 10a - 35 = -8a + 1 (please show work)
    15·2 answers
  • What is the value of x? Enter your answer, as a decimal, in the box. m Triangle M N P with segment A B parallel to segment N P a
    8·1 answer
  • Which shows two triangles that are congruent by ASA?
    12·2 answers
  • Pleeeeease helppppppppppppp
    10·1 answer
  • Determine the volume of the rectangular prism.​
    9·2 answers
  • Convert 24 4/5 into percent
    13·1 answer
  • X - (-7) = -10<br> Write the subtraction equation as an addition equation
    7·2 answers
  • Patrica has $425.82 in her checking account. How much does she have in her account after she makes a deposit of $120.75 and a wi
    15·1 answer
  • A circle's radius is 25 inches.
    13·2 answers
  • Use the graph of the parabola to identify the domain and range of the function.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!