Answer:
Q ' (3,4)
Step-by-step explanation:
When we reflect across the x axis, the y coordinate becomes -y
Q (3,-4) becomes Q' (3,- -4)
Q ' (3,4)
Answer:
10
Step-by-step explanation:
The given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special right triangle are represented as follows:
a (the side length that sees angle measure 45)
a
(the side length that sees angle measure 90)
İn the image we can see that one of the side length that sees angle measure 45 is 10
so c, the side length that sees angle measure 90 (hypotenuse),
is equal to
10
Answer:
The slope of line p is 3 and the slope of line q is -3.
Answer:

Step-by-step explanation:
Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.

Simplify like factor found in both the numerator and the denominator,

x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x =
= 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x =
= - 9