Parallelogram H G J L is shown. Diagonals are drawn from point H to point J and from point G to point L and intersect and point
K. In parallelogram HGJL, HK = c – 7, JK = 3c – 33, and GK = c + 12. What is the length of segment GL? GL = units
1 answer:
Answer:
50 units.
Step-by-step explanation:
It is given that HGJL is a parallelogram and diagonals intersect each other at point K.
We now that diagonals of parallelogram bisect each other. So,
Divide both sides by 2.
Now,
Diagonals of parallelogram bisect each other. So,
Therefore, the measure of GL is 50 units.
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Answer:
1) The graph labeled and the ordered pairs plotted are shown in the second picture.
2) To calculate the amount of meat (in pounds) needed for a party of 75 people:
Substitute the value of the Constant of proportionality and into the equation
and then evaluate (The result is 30 pounds).
Step-by-step explanation:
<h3> The missing graph is attached.</h3>Proportional relationships have the following form:
Where "k" is the Constant of proportionality.
1) You can observe in the graph shown in the first picture this point:
So you can subsitute the coordinates of this point into and solve for "k":
Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:
<u>For 20 people</u>
Substituting and
into the equation
and evaluating, you get:
The ordered pair is:
<u>For 30 people</u>
Substituting and
into the equation
and evaluating, you get:
The ordered pair is:
<u>For 40 people</u>
Substituting and
into the equation
and evaluating, you get:
The ordered pair is:
<u>For 50 people</u>
Substituting and
into the equation
and evaluating, you get:
The ordered pair is:
Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).
2) Substituting and
into the equation
and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:
