Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
Answer:
<em>a2+1)-(4+2a2)
</em>
Step-by-step explanation:
<em>to solve this, we need to get rid of the brackets as follow:
</em>
<em>3a2+1-4-2a2 </em>
<em>ading the common terms we have:
</em>
<em>a2 - 3
</em>
<em>that is all.</em>
<em>Plz mark me brainlist!!!</em>
Answer:
30%
Step-by-step explanation:
7+14+9=30
10% of 30 is 3.
3 goes into nine 3 times so you times 10% by 3 to get 30%.
Step-by-step explanation:
Step one:
given data
we are told that the expression is
v = 4.8m + 8.2
where v is the volume of gas and
m is the number of minutes it has been filling.
Step two:
Required
<em>Asumming the volume is in Liters</em>
the interpretation of the terms in the expression for the volume
4.8 means that for every minute 4.8L of gas enters the gas tank
hence the rate of filling is 4.8L/min
8.2 means that there is 8.2L of gas already in the tank before the filling started.
Answer:
x = -14
Step-by-step explanation:
x + 6 = -8
-6 -6
x = -14
