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jeka94
3 years ago
13

Karla's traditional hybrid car gets 35% fewer miles per gallon than Jeenie's solar hybrid car. If Jeenie's car gets 60 miles per

gallon, how many miles per gallon does Karla's car get? Calculate Karla's car mileage in two different ways, using two different scale factors (multipliers).
Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

39\ miles/gallon

Step-by-step explanation:

Let

x------> Karla's car mileage

1) First way

we know that

100%-35%=65%=65/100=0.65

so

x=0.65(60 miles/gallon)=39 miles/gallon

2) Second way

by proportion

\frac{60}{100} \frac{(miles/gallon)}{\%} =\frac{x}{65} \frac{(miles/gallon)}{\%}\\ \\x=60*65/100\\ \\x=39\ miles/gallon

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HELP LOOK AT THE SCREENSHOT<br><br> Find the value of x. (SHOW WORK)
Vanyuwa [196]

Answer:  x = 2

=============================================================

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

----------------------

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

----------------------

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3 years ago
What is the measurement of ULE?
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7 0
3 years ago
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