Can someone help me find AB and BC

Mathematics

1 answer:

Bond [772]1 year ago

7 0

3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
10x + 20 = 180 [combine like terms]
10x = 160 [subtract 20 from both sides]
x = 16 [divide both sides by 10]

Arc AB measures 3(16) = 48 degrees.

Arc BC measures 2(16) + 5 = 41 degrees.

You might be interested in

The coat was $10 then was raised to $12 what was the percent increase

Colt1911 [192]

$\frac{12 - 10}{10}$
Thats what you would use, so now 2/10 is .2 When you divide so you move the decimal so 20%
The percent increase is 20%

3 0

3 years ago

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

Answer:

Rhonda will not fall 264 times in 360 jumps.

Solution:

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

8 0

2 years ago

This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.

IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

$\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}$

which would be

$\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}$

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with $2^1=2$ and ending with $2^6=64$ . So in sigma notation, this series is