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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.

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The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contai
densk [106]

Answer:

third option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 5 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2} , then

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 1) into the partial equation

1 = - \frac{1}{2} + c ⇒ c = 1 + \frac{1}{2} = \frac{3}{2}

y = \frac{1}{2} x + \frac{3}{2} ← equation of perpendicular line

7 0
2 years ago
You have 100 dollars saved up. You mow the lawn once every other week and make 22 dollars. You do this for a total of 10 weeks t
miv72 [106K]

Answer:

The total would be $320

Step-by-step explanation:

100 dollars saved up

22 dollars times 10 weeks=

220 dollars

220+100=320 dollars

Answer is $320

6 0
2 years ago
Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo
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Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
2 years ago
Please answer it now
Sergeeva-Olga [200]

Answer:

s= 15 (nearest integer), 14.8 (to nearest 10ths)

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here you need to apply the cosine rule,

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substituting the values,

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