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2 years ago

10

using the table's data, consider the ratio y/x - which statements are correct? a) the table represents a proportional relationsh

ip

1 answer:

NNADVOKAT [17]2 years ago

4 0

Answer:

The answer is A and C.

Step-by-step explanation:

The table represents a proportional relationship.

The constant ratio of y; therefore, the table represents a proportional relationship.

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1. A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicl

hichkok12 [17]

Answer:

(a) 2% (b) 15

Step-by-step explanation:

(a):

80 - blue (32%)

60 - white (24%)

50 - red (20%)

45 - black (18%)

10 - silver (4%)

Total: 245

5 - other (2%)

(b):

60 - white

45 - black

Difference: 15

4 0

3 years ago

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?

Ludmilka [50]

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

8 0

3 years ago

I need help with this perimeter

spin [16.1K]

The length of that semi circle is 6pi. So the perimeter should be 6pi + 24

5 0

3 years ago

Read 2 more answers

The courtyard behind jennies house is shaped like a trapaziod. The base mesures 8 meters and 15 meters.The height of the trapazo

77julia77 [94]

Formula for trapezoid area is A=b1+b2 x heightx 1/2 so your answer would be 161m squared

7 0

3 years ago