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2 years ago

If EC=13, find BD find m find m 20 pts for the first answer

Mathematics

1 answer:

nadezda [96]2 years ago

3 0

Answer:

BD = 26

The measure of angle ADB = 59 degrees

The measure of angle DEC = 118 degrees

Step-by-step explanation:

BD = 2 * EC = 2 * 13 = 26

The measure of angle ADB = 90 - 31 = 59 degrees

The measure of angle DEC = 180 - 2(31) = 180-62 = 118 degrees

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2^x=3^x+1 what are the exact approximate solutions

Mashcka [7]

Answer:

Step-by-step explanation:

The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.

$ln(2^x)=ln(3^{x+1})$ becomes, after following the power rule:

x ln(2) = (x + 1) ln(3). We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:

$x(\frac{ln(2)}{ln(3)})=ln(3)$ . We can factor out the ln from the left to simplify a bit:

$x[ln(\frac{2}{3})]=ln(3)$ . Divide both sides by ln(2/3) to get the x all alone:

$x=\frac{ln(3)}{ln(\frac{2}{3}) }$

On your calculator, you will find that this is approximately -2.709

6 0

3 years ago

Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr

PSYCHO15rus [73]

Answer:

$x=\frac{9}{8}\ yards$

$x=1.125\ yards$

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

$x+x+x+x+x+x+x+x=8x$

Then:

$8x=9\ yards$

Now we solve the equation for x

$8x=9\ yards$

Divide both sides of equality by 8

$\frac{8}{8}x=\frac{9}{8}\ yards$

$x=\frac{9}{8}\ yards$

So the length of each piece is $\frac{9}{8}$ of a yard.

This is: 1.125 yards

6 0

3 years ago

the number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has.in total,the

Alexeev081 [22]

Assume the following:

Brad has been in the soccer team for b years.

Scot has been in the soccer team for s years.

"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"

means: b=5s-2

"in total,the boys have been on the soccer team for 10 years."

means: b+s=10

so we have the equations:

i) b=5s-2

ii) b+s=10

substitute b in ii) with 5s-2, as they are equal, from i

(5s-2)+s=10

5s-2+s=10

6s=12

s=2,

then , from b+s=10, b=8

Answer: Brad has been in the team for 8 years.

7 0

3 years ago

What are roots of the equation -90=x (x-18)

daser333 [38]

Answer:

-90= $x$ ( $x$ -18)