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s344n2d4d5 [400]
3 years ago
5

Two parallel lines are cut by a transversal as shown below.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Angle 2 = Angle 4 = 76

Step-by-step explanation:

Here, we want to get the measures of angle 2 and angle 4

From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)

The reason for this is because both angles are same side interior angles

Thus,

angle 2 + angle 5 = 180

angle 2 = 180 - angle 5

angle 2 = 180 -104

angle 2 = 76

Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles

Thus, angle 2 = angle 4 = 76

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A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above
tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

5 0
3 years ago
Determine whether the statement below is always, sometimes, or never true. Justify your reasoning.
zloy xaker [14]
This is sometimes true I say this because if u substitute your answers that can be different or can be the same.
for ex. x=6 y=6; 6-3 and 6-3 will be the same but if x= 10 and y=15; 10-3 and 15-3 would give you different answers
5 0
3 years ago
Read 2 more answers
Is 1 and 3/9 in simplest form?
Fynjy0 [20]
No, 1 and 3/9 can be simplified to 1 and 1/3
4 0
4 years ago
Read 2 more answers
Help pls I'm running out of points & brain cells lol T^T
marshall27 [118]

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

3 0
3 years ago
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What is 3/8<br> as an equivalent fraction with the LCM as the denominator?
tino4ka555 [31]

Answer:

3/8 = 9/24

Step-by-step explanation:

So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!

Ex.-

The LCM of 8 and 3 is 24.

So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.

Ex.-

8 x 3 = 24

3 x 3 = 9

Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.

Ex.-

9/24 (answer) = 3/8 (original equation)

Hopefully I could help! :)

4 0
3 years ago
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