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the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the

Pachacha [2.7K]

Answer:

Yes, y = $\frac{1}{5}$ x represents a proportional relationship and the constant of proportionality is $\frac{1}{5}$

Step-by-step explanation:

<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>

If x and y are proportion, then y = k x, where k is the constant of proportionality

The proportional relationship represented graphically by a line passing through the origin point (0, 0)

Let us solve the question

∵ y = $\frac{1}{5}$ x

→ It the same as the form of the proportional equation above

∵ $\frac{1}{5}$ is a constant

∴ y is the product of x and constant

∴ y = $\frac{1}{5}$ x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = $\frac{1}{5}$ (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = $\frac{1}{5}$ x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = $\frac{1}{5}$ x

∴ k = $\frac{1}{5}$

∴ The constant of proportionality is $\frac{1}{5}$

5 0

4 years ago

In the accompanying diagram of right triangle ABC, altitude ¯¯¯¯¯¯ B D B ⁣ D ¯ is drawn to hypotenuse ¯¯¯¯¯¯

spin [16.1K]

hello i would not know to be honest

8 0

3 years ago

The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?

andre [41]

Answer:

18

Step-by-step explanation:

2 goes into 12 six times,

so multiply both sides of 2:3 by six to get 12:18

8 0

3 years ago

5 - 2 (4x + 2) i need help

Fiesta28 [93]

Answer:

1-8x

Step-by-step explanation:

not sure ...........

4 0

3 years ago

Read 2 more answers

Will give brainiest In △ABC, angle bisectors

EleoNora [17]

Answer:

$m\angle CAB=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=25\dfrac{5}{7}^{\circ}$

Step-by-step explanation:

AK is angle A bisector, then

$m\angle BAK=m\angle KAC=x^{\circ}$

BL is angle B bisector, then

$m\angle ABL=m\angle CBL=y^{\circ}$

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is $180^{\circ},$ then

$m\angle BAL+m\angle ALB+m\angle LBA=180^{\circ}\\ \\2x+2y+y=180\\ \\2x+3y=180$

Consider triangle ABK. In this triangle,

$m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}]$

The sum of the measures of all interior angles in this triangle is $180^{\circ},$ then

$m\angle BAK+m\angle AKB+m\angle KBA=180^{\circ}\\ \\x+(180-2x)+2y=180\\ \\2y-x=0$

Hence,

$x=2y\\ \\2(2y)+3y=180\\ \\4y+3y=180\\ \\7y=180\\ \\y=\dfrac{180}{7}=25\dfrac{5}{7}\\ \\x=\dfrac{360}{7}=51\dfrac{3}{7}$

Find the measures of the triangle ABC:

$m\angle CAB=2x^{\circ}=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=2y^{\circ}=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=180^{\circ}-102\dfrac{6}{7}^{\circ}-51\dfrac{3}{7}^{\circ}=25\dfrac{5}{7}^{\circ}$

8 0

4 years ago