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
lorasvet [3.4K]
3 years ago
10

ASNWER CORRECTLY AND YOU WILL GET 40 POINTS ALONG WITH BRAINLIEST

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60

Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,

3x + 6x = 180 {Sum of angles on a straight line equals 180}

9x = 180

Divide both sides of the equation by 9

x = 20.

That means angle 6x measures 6(20) and that is 120 degrees.

Also angle 3x measures 3(20) and that is 60 degrees.

Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}

Angle ABC + 120 = 180

Angle ABC = 180 - 120

Angle ABC = 60

Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20

Angle CBD = 120.

And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.

Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.

You might be interested in
In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.
kondor19780726 [428]

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

5 0
3 years ago
which of the following sets could be the sides of a right triangle? {2,3, square root 13} {5,5,2 square root 10} {5,12,15}
anastassius [24]

All of these sets meet the requirements of the triangle inequality. The sum of any two numbers in the set is greater than the third one. (You really only need to check that the sum of the smallest two is greater than the largest.)

It can help to resolve the numbers that are only indicated as to value.

√13 ≈ 3.606

2√10 ≈ 6.325

_____

Your comparisons can be ...

2 + 3 = 5 > 3.606 . . . is a triangle

5 + 5 = 10 > 6.325 . . . . . . is a triangle

5 + 12 = 17 > 15 . . . . . . . . is a triangle

8 0
3 years ago
A construction worker needs to determine the volume of a sandpille in a construction yard as shown
postnew [5]
Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
Finally we add up the following shapes Volume which are 6160+420=6580cm
3 0
3 years ago
Can some one help me with this
Studentka2010 [4]
The answer is 2 i hope this helps
7 0
3 years ago
What is the area of this figure?​
timurjin [86]

Answer:

252 inches squared is the answer

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Simplify [2 × (10 5)] - 5 Question 4 options: 25 20 12.5 120
    9·1 answer
  • A bookshelf at a library holds 156 books. There are 15 bookshelves in the children's
    12·2 answers
  • What is the area of the figure?
    13·1 answer
  • You are on a cycling trip around Europe with friends. You want to cycle to a nearby lake. Your friend says it is 15 km away. Whi
    6·1 answer
  • The mean number of cars owned is 2 and the standard deviation is 0.80. Fiona owns 3 cars. What is her z score?a. 1.50b. 2.00c. 1
    5·1 answer
  • the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?
    12·1 answer
  • (PLEASE HELP)<br> What is the sum of the values of luann’s three cards?
    11·1 answer
  • Cmon fwm on dis one to
    6·1 answer
  • Find the slips of the following line: <br> 3x+5y=-20
    12·1 answer
  • Yutaka enjoys running. For every kilometer he runs, he burns 65 calories. He wrote this equation to find how many calories he bu
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!