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rjkz [21]
3 years ago
13

I need help on this question ​

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

1. equal

2. add to 180

3. equal

4. add to 180

Step-by-step explanation:

as 1 and 3 are linear pairs

2 and 4 are vertically opposite angles

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What is the perimeter of the triangle expressed as a polynomial? 3x+4, x-10, 5x-2
Ganezh [65]
Your answer is 9x-8.

3x+4, x-10, 5x-2. If you combine the x's you get 9x. You can combine the numbers however you'd like. I chose to combine +4 and -2. That's 2. 2-10 = -8. Therefore your answer is 9x-8.
6 0
3 years ago
The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb
KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0
3 years ago
An obtuse triangle has a side length of $16,$ and a side length of $21.$ The third side length is also a positive integer. How m
Ymorist [56]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
What is 17/7 as a whole number?
deff fn [24]
17/7 cannot be put into a whole number, but it can be put into decimal form. The estimated decimal number is 2.43. You just divide 17 by 7 and then round. 

3 0
3 years ago
Read 2 more answers
Which of the following values are in the range of the function graphed below? Check all that apply​
a_sh-v [17]

Answer:

B, C, D

Step-by-step explanation:

In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say

5 lines = distance of 10

divide both sides by 5 to find the distance for each line

1 line = distance of 2

The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.

4 0
2 years ago
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