Since the diagram represents parallel lines cut by a transversal line, the angles formed by these lines follow a series of rules. One of them is that corresponding angles are equal. Corresponding angles can be identified because they are located in the same position on different "crosses" formed by lines. In this case, angle x and the angle labeled 83° are corresponding angles and are therefore equal. We then know that angle x is 83° so choice B is correct.
I hope this helps.
Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4
. (the ratio is 1:1:
by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1:
since it is an isosceles triangle, the leg is 8.
Answer:
Angle A is 101
Angle B is 79
Angle C is 83
Angle D is 97
Step-by-step explanation:
Vertical angles are congruent, which applies to C.
Lines are parallel so 79 and angle B are the same
Angle a is 101 because its a supplementary angle
Angle D is 97 because its also a supplementary angle so you subtract 83 from 180.
Answer:
DONT KNOW TO BE HONEST SEVRS ARE SWAMPED
Step-by-step explanation:
F(x) = 2x² - 2x + 7
g(x) = x² + 9x - 6
f(x) - g(x) = 2x² - 2x + 7 - (x² + 9x - 6)
= 2x² - 2x + 7 - x² - 9x + 6
= 2x² - x² - 2x - 9x + 7 + 6
= x² - 11x + 13
The 1st option.