Use Pythagorean theorem
a^2 + b^2 = c^2
a = 9, b = x, c = 18
9^2 + x^2 = 18^2
81 + x^2 = 324
x^2 = 243
x = 15.58846
Round to nearest tenth
Solution: x = 15.6
Step-by-step explanation:
Part A: We can write 40 + x + 25 = 180 because these angles are supplementary, meaning they add up to 180 degrees, and when we solve for x, we get x = 115°.
Part B: We can write y = x + 25 because these two angles are vertical angles, meaning they are equal and formed from the same lines. We know that x = 115°, so when we plug that in we get y = 140°.
Part C: z = 40° because these two angles are vertical angles. I hope this helps!
Answer:
4/5 - 3/10 is 0.5.
Step-by-step explanation:
You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer
Answer:
D. 15
Step-by-step explanation:
Given the expression, 32 + 2n - 9, and a value of <em>n </em>= -4:
You can substitute the value of <em>n</em> into the given expression:
= 32 + 2n - 9
= 32 + 2(-4) - 9
= 32 - 8 - 9
= 15
Therefore, the correct answer is D. 15
Please mark my answers as the Brainliest if my explanations were helpful :)
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
