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: G is 31 degrees
Step-by-step explanation: that angle is a right angle which means it measures 90 degrees. if we subtract the given measurement from 90 we get 31
Umm... I think 1. Please mark me as brainliest
Answer:
24 days
total units = 120* 30 = 3600
used after 10 days = 120*10 = 1200
remaining units after 10 days = 3600-1200 = 2400
2400/100 people = 24 days that the provisions will last
Step-by-step explanation:
Answer:
Tarquin is correct
Step-by-step explanation:
2(x+6)+2(2x+11)= 2x+12+4x22= 6x+34= 2(3x+17)
