What is the answer? please help!!

Mathematics

1 answer:

jenyasd209 [6]2 years ago

4 0

Answer:

measure of angle 2 is 104.

measure of angle 3 is 76.

Step-by-step explanation:

To start off, we know that angle 3 and 5 are alternate exterior angles. This means they are congruent so measure of angle 3 is the same as 5 making it 76 degrees. Since angle 3 and angle 2 are a linear pair, meaning both the angles add up to 180 degrees. Since angle 3 we already know is 76, we just subtract 76 from 180 to get the measure of angle two which makes it 104 degrees.

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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

2 years ago

Question: Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional

Dima020 [189]

Your thoughts are correct; Ned loses 14 points overall.

The reason the correctly answered questions do not factor into the answer is because that is not what the question is asking. Correct answers are not even mentioned :)

6 0

2 years ago

Read 2 more answers

Given a circle with a radius of 22 inches, what is the circumference in terms of π?

Mars2501 [29]

Answer:

$circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches$