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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
HCF of smallest 2 digit composite number and smallest 3 digit prime number is?​
posledela

Answer:

HCF = 1

Step-by-step explanation:

Smallest 2 digit composite number = 10

Smallest  3 digit prime number = 101

Factors of 10 = 1 , 2 , 5

Factors of 101 = 1 , 101

HCF = 1

6 0
2 years ago
25 is 32 percent of what number?
alekssr [168]
Say n = the number.
n * 32% = 25
25/32% = n
n = 78.125
6 0
3 years ago
Read 2 more answers
A cookie recipe that yields 48 cookies calls for 2 cups of flour. a different cookie recipe that yields sixty cookies calls for
Serhud [2]
48 cookies from 2 cups of flour,  rate = 48 cookies / 2 cups = 24 cookies / cup

60 cookies from 3 cups of flour,  rate = 60 cookies / 3 cups = 20 cookies / cup

If the rates were proportional, the rates would have the same answers.

Therefore the rates are not proportional. 
6 0
3 years ago
Help me please! I’m begging
leva [86]
Terms: 2, 8, 15. variables: x, y. coefficient:2,8

let me know if it’s correct!
6 0
2 years ago
Can someone help me with this:
d1i1m1o1n [39]

Answer:

F (-8, -1)

Step-by-step explanation:

We can solve the system using substitution.

From the second equation

x-6y= -2

x= -2 + 6y

This value of x substitute into 1st equation

-4x+5y=27

-4(-2+6y)+5y=27

 8-24y+5y =27

- 19y = 19

    y= -1

x= -2 + 6y, y= - 1

x= -2 +6(-1)= -8

x= - 8

x= -8, y= -1

(-8, -1)

8 0
2 years ago
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