Answer:
C. <w and <y
Step-by-step explanation:
<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.
<w and <y are also corresponding angles and are therefore also congruent.
<x and <z are congruent also based on the vertical angles theorem.
<t and <z are alternate exterior angle, and are therefore congruent also.
So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:
<w and <y
X = 5y + 30/4 - 3 is the answer.
Easy, just write out the multiple of the numbers.
4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60
7: 7,14,21,28,35,42,49,56,63,70
Etc.
But a few common multiples:
28,56,84,112,140
These are the first 5 common multiples of 4 and 7.
Answer:
when x is:
1; y = 12
2; y = 10
5; y = 4
6; y = 2
Step-by-step explanation:
Substitute each value of x to obtain respective y values
Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
