Answer:
a). x + y + 90° = 180°
b). x = 67°
y = 23°
Step-by-step explanation:
The sum of all angles in a triangle is 180°.
One of the angles in the figure is a right angle, or 90°. Therefore the sum of the three angles in the figure is:
x + y + 90 = 180
We are also told that x + 2 = 3y.
Rearranging that to isolate x gives us:
x = 3y - 2
Thake the first equation and substitute the above expression of in place of x:
x + y + 90° = 180°
(3y-2) + y + 90° = 180°
4y + 88° = 180°
4 y = 92°
y = 23°
To find angle x, use y = 23°
x = 3y - 2
x = 3*(23°) - 2
x = 67°
The sum 90° + 67° + 23° = 180°
Answer:
Option B loves
Step-by-step explanation:
I took the test
Answer:
B-The graph is incorrect. He should have shaded to the right of –8.
Step-by-step explanation:
We examine the steps Alfonso follows in graphing the inequality x > -8.
Step 1: Draw a number line, and place an open circle at –8.
A number line going from negative 13 to negative 3. An open circle is at negative 8.
The first step is correct, since we use an open circle for > or < and a closed circle for
.
Step 2: Shade to the left of –8 to represent the infinite solutions to x greater-than negative 8.
This step is incorrect since <u>values to the left are always less than.</u>
He should have shaded to the right of -8.
<u>The error made is Option B. </u>
CHECK:
x=-7
-7>-8 (TRUE)
28+ 90 + 2x = 180
2x = 62
x = 31