So the ratios are 5:5 and 3:5 so the fractions are 5/10 (1/2) for 7th grade and 5/8 for 8th grade
Y=kx
12=-4k
k = -3
so when y = 15
y = kx
15 = -3x
x = -5
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$50 / 0.04 = $1250 (4% interest)
so
1250 * 0.06 = $75
answer
interest $75 at 6%
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y = kx
1/4 = 4k
k = 1/16
when x = 5
y = kx
y = 1/16(5)
y = 5/16
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y = kx
-5 = 4k
k = -5/4
direct equation
y = -5/4x
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
It would be the first graph because the slope would be zero making it the smallest
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