Answer:
x = 71
Step-by-step explanation:
x + 25 = 96
=> x = 96 - 25
=> x = 71
You know that a straight line has an angle of 180 degrees;
48+x+x=180 <-- since they are all on the same time
48+2x=180
2x=180-48
2x=132
x=132/2
x=66
Therefore, the x value is 66 degree.
Hope I helped :)
Answer:
Y=√2
Step-by-step explanation:
We can use the pathagorian theorum: A²+B²=C² now in this case it would be X²+Y²=2² we also know that X and Y are the same number in this problem because they have the same corresponding angle (triangle angles always add to 180 and since we know 2 of the angles are 45 and 90 the remaining angle will also be 45) Because of this we can change our equation to Z²+Z²=2² (I'm using Z so that we do not confuse it with another letter we've already used) from there we can go to Z∧4=2² and then we will solve the equation. Z=√2 Z also equals X and Y therefore Y=√2
I hope this helps and please let me know if there is anything you don't understand I would be happy to clarify!
There are 2 x intercepts, x=-4 and x=-1
Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:

The first number is three times the second number. So:

Substitute:

Solve for <em>b</em>. Subtract:

And divide both sides by two:

So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.