When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find m abc

Mathematics

1 answer:

DedPeter [7]2 years ago

8 0

Supplementary angles are angles that add up to 180 degrees.

180 = 3x + 4 + 8x + 11

Combine like terms.

180 = 11x + 15

Subtract 15 from both sides.

165 = 11x

Divide both sides by 11

15 = x

m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.

You might be interested in

Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble

jonny [76]

Manny can assemble a computer in 50 minutes. That means, in a minute Manny does $\frac{1}{50}$ job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does $\frac{1}{45}$ job.

If they are working together, in a minute they will do:
$\dfrac{1}{50} + \dfrac{1}{45}$
$= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}$
$=\dfrac{19}{450}$
In a minute they will do $\frac{19}{450}$ job

To finish the job they will do it in $\frac{450}{19}$ minutes or about 24 minutes.

5 0

2 years ago

Please help with 7-9 they are related to the same circle

Andrej [43]

40º

7) In this problem, we can see that both tangent lines to that circle come from the same point O.

So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO