Point H -3 1/2 should be the answer
Answer:
<em>The table shows a proportional relationship: YES</em>
<em>The constant of proportionality is k=7</em>
<em>y = 7x</em>
Step-by-step explanation:
<u>Proportions</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality. It can be calculated by solving the equation for k:

We are given a table with 4 pairs of values. If the relationship between the variables is proportional, then the ratio y/x should be constant.
Let's verify some points:




Since all the ratios are equal,
The table shows a proportional relationship: YES
The constant of proportionality is k=7
The equation for the relationship is
y = 7x
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:y=12
Step-by-step explanation: