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
lesantik [10]
2 years ago
5

Can someone help me solve this geometry problem down below?

Mathematics
1 answer:
TiliK225 [7]2 years ago
7 0

Answer:

x = 29

Step-by-step explanation:

Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.

Therefore:

m<CAB = m<CDE = 74°

m<ABC = 2x (given)

m<BCA = 48° (given)

Thus:

m<CAB + m<ABC + m<BCA = 180° (sum of triangle)

Substitute

74 + 2x + 48 = 180

Add like terms

2x + 122 = 180

2x + 122 - 122 = 180 - 122

2x = 58

2x/2 = 58/2

x = 29

You might be interested in
Which number is in the correct format for scientific notation?
olchik [2.2K]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

Rules for using scientific notation:

1.- The number before the decimal point must be between 1 and 10.

2.- Determine the exponent

3.- It must be in decimal format, ( x 10)

A 3.8*10^12       This number is in correct scientific notation.

B 33.8* 10         This number is incorrect, because before the decimal point the number must be between 1 and 10.

C 3.8 *20^8      This number is incorrect because the power must be 10 not 20.

6 0
3 years ago
How many terms are in the algebraic expression 2y+3x-5x^2-9?
Artist 52 [7]
There are 4 terms...
7 0
3 years ago
Read 2 more answers
A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning
zvonat [6]

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
3 years ago
Will give brainliest
MariettaO [177]

Answer:

7.1

Step-by-step explanation:

If you count how many units are between the library and the park, it is seven units.

6 0
2 years ago
Read 2 more answers
What is 2 and 3/4 times 4/5. <br><br><br> Please help me
skelet666 [1.2K]
The answer should be 2.2, or as a fraction from 2 and 1/5
as 2 and 3/4 can be changed to 2.75 and 4/5 can be changed to 0.8
4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for X in y=12x-5
    5·1 answer
  • What number is one fourth of the way between 4 and 12.4
    5·1 answer
  • A communication channel transmits a signal as sequence of digits 0 and 1. The probability of incorrect reception of each digit i
    9·1 answer
  • 9/18 ÷3/6 =<br> Worth 94pts
    13·1 answer
  • A soup recipe makes 6 cups. How many people does it serve 3/4 of each serving is of a cup?
    15·1 answer
  • There is no cure for the common cold, but here are some things you can do. Grandma was right—chicken soup actually is good for a
    8·1 answer
  • Use laws of exponents to simplify inside the parentheses of the given expression ((a ^ - 2 * b ^ 2)/(a ^ 2 * b ^ - 1)) ^ - 3
    11·1 answer
  • Select all the expressions which are equivalent to three times the sum of six and five.
    8·2 answers
  • Gina has $87 in her piggy bank. She spends $32.67 on a gift for her sister. How much money does Gina have left?
    11·2 answers
  • The graph of a function is a transformation of the graph of its parent function in which the graph is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!