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Natalka [10]
3 years ago
7

Geometry math question

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Two angles are called supplementary if they add up to 180 degrees.

(2x+4) + (3x+1) = 180

5x + 5 = 180

5x = 175

x = 35

To find the measure you need to go back and substitute the new found value into the x variables.

Measure angle one: 2(35) + 4 = 74

Measure angle two: 3(35) + 1 = 106

So, your answer is B. 74 and 106

Hope this helps! Mark as Brainliest please! :)))

Veseljchak [2.6K]3 years ago
3 0
Use my photo to see the work and answers! Hope this helped :)

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Peter made a square pin for his pet guinea pig to roam in. One side was 18.2 cm. What is the area of the pin?
Zina [86]

Hi!

Answer:

A) 331.24

Step-by-step explanation:

To find the area, you need to multiply LxW, (Length x Width) and in this case, since it's a square, the sides are equal. Each side is 18.2 cm, so all we have to do is multiply 18.2 by 18.2, and then we get 331.24, so your answer is option A.

I hope this helps! :)

8 0
2 years ago
Read 2 more answers
Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q
Mamont248 [21]

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

5 0
3 years ago
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual
arlik [135]

Answer: $14.85

Step-by-step explanation:

Ww can solve the question using direct proportion with the formula y = kx

where y = annual salary

x = monthly policy cost.

k = constant of proportionality

Since y = kx

38500 = 11.55k

k = 38500 / 11.55

k = $3333.33

When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:

y = kx

49500 = 3333.33x

x = 49500 / 3333.33

x = 14.85

The amount that Randy expect to pay for his policy will be $14.85

8 0
2 years ago
How does a quadratic function differ from that of a linear or exponential
salantis [7]
Hello,

A linear function is a polynomial function of degree 1
(1,2,3,4,5,6,....)
A quadratic function is a polynomial function of degree 2
(1,4,9,16,25,49,64,81,...)
A exponential function is not a polynomial function (we may imagine a infinity degree)
(1,2,4,8,16,32,64,128,256,512,1024,...)



3 0
3 years ago
Find the difference (5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)
Vesna [10]

Answer:

\boxed{\bold{2a^2+9ab-7b^2}}

Step By Step Explanation:

Remove Parenthesis: (a) = a

\bold{5a^2+4ab-3b^2-\left(-5ab+4b^2+3a^2\right)}

Simplify \bold{-\left(-5ab+4b^2+3a^2\right)}

\bold{5ab-4b^2-3a^2}

Rewrite Equation:

\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

Simplify \bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

\bold{2a^2+9ab-7b^2}

- Mordancy

8 0
3 years ago
Read 2 more answers
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