12a)
5x + 45 + 3x - 25 = 180
8x + 20 = 180
8x = 160
x = 20
12b)
2x - 5 = 2(20) - 5 = 40 - 5 = 35
3x - 25 = 3(20) - 25 = 60 - 25 = 35
y = 180 - (35+35)
y = 180 - 70
y = 110
Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
yes
Step-by-step explanation:
Use Pythagorean Theorem:
10² + 49.5² = 50.5² ??
100 + 2450.25 = 2550.25
2550.25 = 2500.25
<h2><u>Question</u>:-</h2>
The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?
<h2><u>Answer</u>:-</h2>
<h3>Given:-</h3>
The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °
<h3>To Find:-</h3>
The measurement of the fourth angle.
<h2>Solution:-</h2>
By angle sum property of a quadrilateral,
Sum of all the interior angles = 360 °
So, let the fourth angle be x
85 ° + 54 ° + 96 ° + x = 360 °
235 ° + x = 360 °
x = 360 ° - 235 ° = 125 °
<h3>The measurement of the fourth angle is <u>1</u><u>2</u><u>5</u><u> </u><u>°</u>. [Answer]</h3>
