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2 years ago

Calculating the Measures of Interior Angles of a Triangle

Mathematics

2 answers:

Murrr4er [49]2 years ago

7 0

Answer:

So its 60, 50, and 70 in that order...

Lubov Fominskaja [6]2 years ago

6 0

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Rzqust [24]

The answer would be choice B y=18/5(11)

5 0

3 years ago

3 times 2 cubed + 5 squared-18 divided by 6

Strike441 [17]

Answer:

Step-by-step explanation:

3 x 2^3 + 5^2 - 18/6

= 3 x 8 + 25 - 3

= 24 + 25 - 3

= 49 - 3

= 46

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2 years ago

A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^

Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0

2 years ago

Complete the proof by providing the missing reasons. given:cb bisects bd,de bisects ec, cb=de. prove dbc=ced. . . CB=DE,CB BISEC

Alexus [3.1K]

Base on your question were the are proofs that is given are this are: CB bisects BD, DE bisects EC, CB=DE. So answer your question you must understand first your given statements and realize that CBD and DEC are both right triangles because they are a perpendicular segment so i conclude that the answer should be CBD=DEC because they are both right angles

5 0

3 years ago

Read 2 more answers

lauren wants to keep her cell phone bull under $60 per month. Her current cell phone plan is $30 per month plus $0.50 per text.

stellarik [79]

Answer:

The correct answer is t < 60.

Step-by-step explanation:

Lauren wants to keep her cell phone bill below $60 per month.

Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.

Let Lauren sends t texts in a complete month.

Total money spent on texts in a month is given by $ (0.50 × t)

Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).

But this amount should be under $60 as per as the given problem.

∴ 30 + (0.50 × t) < 60

⇒ (0.50 × t) < 30

⇒ t < $\frac{30}{0.50}$

⇒ t < 60.

So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.

8 0

3 years ago