We are given
The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure
angle A = angle E
3x+20 = 5x-80
3x-5x = -80-20
-2x = -100
x = -100/(-2)
x = 50
Use this x value to find the measure of angle A
angle A = 3x+20
angle A = 3(50)+20
angle A = 150+20
angle A = 170 degrees
<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
0.05 is the answer for your question.
Answer:
d.
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.
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:
. We can factor out the ln from the left to simplify a bit:
. Divide both sides by ln(2/3) to get the x all alone:
On your calculator, you will find that this is approximately -2.709
x =-5
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1) Since the Formula of the Midpoint is:
2) So Let's plug it into the formula the values, for A, and B
3) So the x coordinate of the Midpoint is x =-5
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413
Hope this helps :)