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madam [21]
2 years ago
8

What angle is paired with angle D as an alternate interior angle?

Mathematics
2 answers:
Naya [18.7K]2 years ago
4 0

Answer:

E

Step-by-step explanation:

i dont know at this point

Scilla [17]2 years ago
3 0

Answer:

angle E

Step-by-step explanation:

Hello There!

We need to find an angle that is a pair with angle D and they have to be alternate interior angles

alternate interior angle properties:

  • On the inside of the parallel lines
  • congruent

In the image below; represents a pair of alternate interior angles

These properties match angle D with angle E

Why? they are both on the inside of the parallels

They also happen to be congruent

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if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0
3 years ago
Write all ratios in is There are three children in the Skosana family. Each week the eldest earns R270, the middle child earns R
geniusboy [140]

From the amounts that are given, the ratio of the earnings will be 3:2:1.

<h3>How to calculate ratio</h3>

From the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.

Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:

270/90 = 3

180/90 = 2

90/90 = 1

The ratio is 3:2:1.

Learn more about ratio on:

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4 0
2 years ago
What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i?
ohaa [14]
The polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i is f(x) = x3 - 3x2 + 4x - 2.
6 0
1 year ago
How can you tell that a system of linear equations will have infinitely many solutions without computation?
Contact [7]

If you can manipulate the two equations so that they have exactly the same coefficients (e. g., 3x + 4y = 8 and 2x + 4y = 8), then you conclude that the two lines coincide (overlap), and that there are thus infinitely many solutions.

3 0
3 years ago
I NEED HELP WITH THIS PLEASE HELP ME
vekshin1

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

  • I will denote "y" as the total for his bill
  • I will denote "x" as the number of minutes Frank uses

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

  • y = 0.06x + 8 → y - 8 = 0.06x → x=\frac{y-8}{0.06}
  • Then plugging in our y value we get x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156

Frank used up a total of 156 minutes

3 0
3 years ago
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