Answer:
x = 55
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
3x-65 = 2x-10
Subtract 2x from each side
3x-2x -65 = 2x-2x-10
x-65 = -10
Add 65 to each side
x-65+65 = -10+65
x = 55
Answer:
3,000,000,000
60,000,000
66,000
900
Step-by-step explanation:
3,060,066,900
:)I dont know is C
Answer:
<em>metres</em>
Step-by-step explanation:
You are finding the <em>height</em><em> </em>of the building with an angle of elevation, therefore we need to solve for <em>EC</em><em> </em>to add it to <em>BA</em><em> </em>[10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

We can now solve for <em>EC</em>:

<em>OR</em>

Now that you have solved for <em>EC</em>, you can now add it to your original 10 metres to get
<em>metres</em>. As a decimal, you would get
<em>metres</em>. You can go ahead and round this off if necessary.
** The reason why the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio was used was because <em>EA</em><em> </em>is equivalent to <em>DB</em> by the definition of a rectangle. It has two pairs of parallel and congruent sides with <em>four</em><em> </em><em>right</em><em> </em><em>angles</em>. Plus, that is the <em>adjacent</em><em> </em><em>side</em><em> </em>of the triangle, while <em>EC</em><em> </em>is the <em>opposite</em><em> </em><em>side</em><em> </em>of the triangle, so we knew our ratios were correct.
I am joyous to assist you at any time.
Answer:
1
Step-by-step explanation:
I put it in a calculator like -2(-3)-5 so I removed the x and put -3
Answer:
senior tickets sold: 12
child tickets sold:8
Step-by-step explanation:
Let
x= amount of senior tickets sold
y= amount of child tickets sold
For the first equation, it should look like:
200=14x+4y
For the second equation, it should look like:
92=7x+y
So this is a systems of equations problem. So I will use substitution as it is easier:
1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.


2.) Take the value of y and plug it into "y" into the other equation to solve "x"

<u><em>(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)</em></u>
3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)
