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Sonbull [250]
3 years ago
5

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload y

our answer. You will be awarded 5 points for the statements and 5 points for the reasons.
(2x+6)/5=4x−3
Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

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Arturiano [62]

Answer:

Lines c and b, f and d (option b)

Step-by-step explanation:

To prove whether the lines satisfy the condition of being a transversal to another, let's prove one of the conditions wrong, and thus the answer -

Option 1:

Here lines a and b do not correspond to one another provided they are both transversals, thus don't act as transversals to one another, they simply intersect at a given point.

Option 2:

All conditions are met, lines c and b correspond with one another such that b is a transversal to both c and d. Lines f and d correspond with one another such that f is a transversal to both d and c.

Option 3:

Lines c and d are both not transversals, thus clearly don't act as transversals to one another.

Option 4:

Lines c and d are both not transversals, thus clearly don't act as transversals to one another.

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3 years ago
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Solnce55 [7]

Answer:

x=25°, y=18°

Step-by-step explanation:

Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!

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ValentinkaMS [17]
Language of the gods?
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Step-by-step explanation:

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3 years ago
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RideAnS [48]

Answer:

If your saying estimate this number in a decimal without calculators I think I might be able to help as illustrated below:

Step-by-step explanation:

2 5/6 shows that the whole number will be a 2. The 5/6 is a decimal below one as it is not one whole fraction. This means that we have to estimate the value of 5/6 and add that value to the number 2. 1/3 is a common fraction that is equal to about 0.33. This is because 0.33 + 0.33 + 0.33 is almost 1, which means 1/3 of one is indeed equal to 0.33.

<u>This means we divide 0.33 by 2, because that would be equal to (1/3)/(2), or 1/6. </u>0.33/2 seems like it would be 16.5. 16.5 * 5, as in 5/6, would be 82.5.

I would then say that the estimate of 2 5/6 is 2.83.

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