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
nika2105 [10]
3 years ago
11

Using the diagram on the right, find the length of GT and TA.

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

GT=10\ units  and TA=6\ units

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{GR}{GE}=\frac{GT}{GA}

we have

GR=5\ units

GE=5+3=8\ units

GT=16-x\ units

GA=16\ units

substitute

\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units

therefore

GT=16-x=16-6=10\ units

TA=x=6\ units

You might be interested in
You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an
Dmitrij [34]
Here, My initial salary = 7.85 

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!
4 0
2 years ago
Can sumone plzhelp..Apply the distributive property to factor out the greatest common factor of all three terms .
Nat2105 [25]

Answer:

3(3a - 6b + 7c )

Step-by-step explanation:

The greatest common factor of 9, 18 and 21 is 3

Factor out 3 from each term

9a - 18b + 21c

= 3(3a - 6b + 7c) ← in factored form

6 0
3 years ago
Read 2 more answers
Classify the triangle by its angles and sides
postnew [5]
Answer; A: Right scalene. Square on the corner tells you it's a right triangle. It's a scalene triangle because none of the sides are equal.
7 0
1 year ago
A construction crew is placing a square window in a wall The window is 3 feet wide. The wall has a width of 11 feet In order for
Fittoniya [83]

Answer:

4 feet on each side.

Step-by-step explanation:

Given :

Width of the wall = 11 feet

Width of the window = 3 feet

Now for the window to be placed in the center of window :

$=\frac{11-3}{2}$

$=\frac{8}{2}$

= 4 feet

Therefore, in order to place the window on the center of the wall, 4 feet space must be there on each side of the window.

4 0
2 years ago
Tşk şimdiden <br><br><br><br><br><br><br> 17 puan
Kamila [148]

Answer:

um what-?

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A rectangular page is to contain 24 square inches of print. The margins at the top and the bottom of page are to be 1.5 inches,
    5·1 answer
  • I don’t know this one
    9·2 answers
  • What is the answers to this math 3-3x6+2=
    11·2 answers
  • Write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0
    6·1 answer
  • The formula F=1.8C+32 can be used to convert temperature units. F is degrees Fahrenheit, and C is degrees Celsius.
    10·1 answer
  • Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each
    8·1 answer
  • Starting with the number 100, Shaffiq repeatedly divides his number by two and then takes the greatest integer less than or equa
    5·1 answer
  • Cuanto le falta a 425,000 para llegar a 500,000<br><br> Ayúdenme por favor
    9·2 answers
  • PLZ HELP IS DUE TODAYYY!! ‼️‼️ (there’s a pic of the problem)
    7·1 answer
  • Hello I would be very happy if you could solve this for me. Please help me.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!