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Dima020 [189]
4 years ago
12

The graph of a proportional relationship passes through (12,16) and (1,y). find y​

Mathematics
1 answer:
anastassius [24]4 years ago
4 0

Answer:

4/3

Step-by-step explanation:

A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

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Determine whether each pair of triangles is similar. Justify your answer.
tresset_1 [31]
M<J = m<N      ( alternate angles)
m<K = m<M    ( alternate angles)

so the third angles must also be equal  ( total 180 degrees in each triangle)

Therefor the triangles are similar
7 0
3 years ago
Read 2 more answers
measure a and measure b are vertical angles with measure a = x and measure b = 4x - 30. what is measure a?
Zolol [24]

Answer:

∠a = 10°

Step-by-step explanation:

The measure of ∠a = x

The measure of ∠b = 4x-30

It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.

For vertically opposite angles,

∠a = ∠b

x = 4x-30

or

4x-30=x

Taking like terms together,

4x-x= 30

3x = 30

x = 10

So, the meausre of ∠a is equal to 10°.

3 0
3 years ago
Question is "solve each of the following systems using SUBSTITUTION METHOD
Artyom0805 [142]
Y=3x-2
y=3(4)-2
y=12-2
y=10

I hope this helps.
8 0
3 years ago
Consider the two functions:
Mademuasel [1]

Answer:

  g(0) > f(0)

Step-by-step explanation:

Evaluate the functions at the point of interest: x=0.

  g(0) = 20·1.5^0 = 20·1 = 20

  f(0) = -40 . . . . from the table

Since 20 > -40, we conclude ...

  g(0) > f(0)

8 0
3 years ago
10. Polygon WXYZ has vertices W(-1.5, 1.5),
vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0 - horizontal line

XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0} - slope undefined, so the line is vertical

YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0 - horizontal line

ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0} - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

6 0
4 years ago
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