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lesya692 [45]
3 years ago
14

What are vertical angles?

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0
Each of the pairs of opposite angles made by two intersecting lines
koban [17]3 years ago
6 0

Answer:

Pairs of opposite angle that are congruent. They are made by intersecting lines.

I don't know if this helps, I hope it does.

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PLEASE HELP
valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c.  It's our job to find them algebraically.  I'm going to start with the point where x = 0 and y = 7.  You'll see why in a minute.  Filling in the standard form of a quadratic

y=ax^2+bx+c  using (0, 7):

7=a(0)^2+b(0)+c  gives you that c = 7.  We will use that value now when we write the next 2 equations.  Now the point (-2, 19):

19=a(-2)^2+b(-2)+7  and

19=4a-2b+7 so

12 = 4a - 2b

Now for the next point (-1, 12):

12=a(-1)^2+b(-1)+7  and

12=a-b+7  so

5 = a - b

Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:

 12  =  4a  -  2b

  5  =   a   -    b

Multiply the bottom equation by -4 to get a new system:

 12  =  4a  -  2b

-20  = -4a  +  4b

Add those together to get rid of the a terms and end up with

-8 = 2b so

b = -4

Now we can sub in -4 for b to solve for a.  I'm using the second bold type equation to do this:

5 = a - (-4) and

5 = a + 4 so

a = 1 and the equation for the quadratic function is

y=x^2-4x+7

7 0
3 years ago
Please helpppp!!! Will mark brainlyist
Snowcat [4.5K]

Answer:

x = 35.5

Step-by-step explanation:

cos 65° = 15/x

cos 65° · x = 15

x = 15/cos 65°

x = 35.5

4 0
3 years ago
Find the value of x. Round to the nearest tenth. Help please!!!
jasenka [17]

Answer:

x=3

Step-by-step explanation:

Right triangle so you can use pythagorean theorem

a squared + b squared = c squared

b=x

14^2 + b^2= 17^2

14+b=17

b=3

8 0
3 years ago
Read 2 more answers
Factor. (help plz!)<br><br> x^2+7x+10
yawa3891 [41]

Answer:

(x + 5) \times (x + 2)

Step-by-step explanation:

{x}^{2}  + 7x + 10

{x}^{2}  + 5x + 2x + 10

x \times (x + 5) + 2(x + 5)

(x + 5) \times (x + 2)

3 0
3 years ago
Read 2 more answers
An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

Therefore, total cost in terms of the height, h, is given by

C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
3 years ago
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