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olchik [2.2K]
3 years ago
10

If BC = 15, BE = 6, DC = 12, and AD = 8, then segment DE is parallel to segment AB.

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
4 0
Solution: if BC = 15 - 6 = 9

Use the converse of triangle proportionality theorem

AD/DC = 8/12 = 2/3
BE/EC = 6/9 = 2/3

Answer: yes, AD/DC =BE/EC = 2/3, so DB||AB
Elis [28]3 years ago
3 0
Do you have a picture? Your question isn’t making sense love
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Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It’s original price is
Bas_tet [7]
She’s incorrect I’m pretty sure u divide 20 and 60.
4 0
3 years ago
What is 0.03 in scientific notation
aliina [53]

Answer: 3e-1

Step-by-step explanation: when it's going behind the decimal it will always be negative plus the reason it's one is because if you slide the decimal once it'll be the complete opposite

3 0
3 years ago
Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

6 0
3 years ago
Read 2 more answers
Brianna typically sells candy bars for $4.70. During a sale she prices them at $3.30. What is the approximate percent discount o
Elena-2011 [213]

Answer:

30%

Step-by-step explanation:

One simple way of finding out discounts is to simplify our answer by starting with 10% and subtracting from that.

If the original price were to have a 10% discount, it would be 4.70/10 for .47 per 10% off.

10% gives us 4.23, so let's take another 10% off by doing 4.23-.47, which is equal to 3.76. While lower, it's not our answer so lets do another 10%

3.76-4.7 = $3.29

With a total of 3 10%'s taken off, or in this case, 30% off, we can conclude that the discounted prices of $3.29 is 30% of the original price.

4 0
2 years ago
Read 2 more answers
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