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iragen [17]
2 years ago
7

Can someone tell me how to do this?

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:

For #21, x = 35, y = 85

Step-by-step explanation:

For these types of problems, you will simply use to facts.  The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent.  With that being said, let's work #21.

We can see that there are two lines, and we are given 2 values to find with 3 possible equations.

[1] ( 2x + 25 ) + y = 180

[2] y + ( 3x - 10 ) = 180

[3] 2x + 25 = 3x - 10

Using any of these equations, we can solve for the variables.  Let's use the 1st and 3rd equations to find x and y.

2x + 25 = 3x - 10

2x + -2x + 25 + 10 = 3x + -2x + -10 + 10

35 = x

Now plug in the value of x to find y:

( 2x + 25 ) + y = 180

( 2(35) + 25 ) + y = 180

( 70 + 25 ) + y = 180

95 + y = 180

y = 85

We can check these values by plugging into the 2nd equation

x = 35 ; y = 85

y + ( 3x - 10 ) = 180

(85) + (3(35) - 10) = 180

85 + ( 105 - 10) = 180

85 + 95 = 180

180 = 180

Thus, we have validated our results and found the values of x and y.

Cheers.

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Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

y-y₁=m(x-x₁)

Plug coordinates and slope in.

y-(-1/2)=4(x-2)

Solve

y+1/2=4x-8

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7 0
3 years ago
You throw a baseball upward with an initial velocity of 35 feet per second. The height h (in feet) of the baseball relative to y
Nostrana [21]

Answer:

35/16 sec    ( 2  3/16  sec)

Step-by-step explanation:

This assumes you glove is at height = 0

0 = -16t^2 + 35t

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2 years ago
If 6 people share 1/2 of a cake, how much of the whole cake will each person get? Show your work.
Nimfa-mama [501]

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Step-by-step explanation:

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3 years ago
En un examen calificado del 0 al 10, 3 personas obtuvieron 5 de nota, 5 personas obtuvieron 4 de nota, y 2 personas obtuvieron 3
Nastasia [14]

Answer:

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Step-by-step explanation:

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5 personas obtuvieron 4 puntos

2 personas lograron 3 puntos

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Por lo tanto, la media será:

M = \frac{((3 * 5) + (5 * 4) + (2 * 3)}{10}\\ \\M = \frac{15 + 20 + 6}{10} \\\\M = \frac{41}{10}\\ \\M = 4.1

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.

3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Como no hay un número único en el medio, la mediana es:

(4 + 4) / 2 = 8/2 = 4

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8 0
3 years ago
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juin [17]

Answer:

6

Step-by-step explanation:

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