How can a translation and a reflection be used to map ΔHJK to ΔLMN? Translate K to N and reflect across the line containing HJ.
Translate K to N and reflect across the line containing JK. Translate H to L and reflect across the line containing JK. Translate K to L and reflect across the line containing HJ.
2 answers:
Answer:
<u>Translate K to N and reflect across the line containing JK. </u>
Step-by-step explanation:
The rest of the question is the attached figure.
From the figure, we can deduce the following:
∠K = ∠N
JK = MN
HK = LN
So, N will be the image of K
By translating K to N, The segment JK will over-lap the segment MN,
Then, we need to reflect the point H across the the line containing JK to get the point L
So, the translation and a reflection that will be used to map ΔHJK to ΔLMN:
<u>Translate K to N and reflect across the line containing JK. </u>
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30 pounds of raspberries and 50 pounds of blueberries are sold
<em><u>Solution:</u></em>
Let "a" be the pounds of raspberries sold
Let "b" be the pounds of blueberries sold
Cost per pound of raspberry = $ 1
Cost per pound of blue berry = $ 3.25
<em><u>Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries</u></em>
Therefore,
a + b = 80
a = 80 - b ------- eqn 1
<em><u>Maya made $192.50. Therefore, frame a equation as:</u></em>
pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50
a + 3.25b = 192.50 ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
80 - b + 3.25b = 192.50
2.25b = 192.50 - 80
2.25b = 112.5
Divide both sides by 2.25
b = 50
<em><u>Substitute b = 50 in eqn 1</u></em>
a = 80 - 50
a = 30
Thus 30 pounds of raspberries and 50 pounds of blueberries are sold