Answer:
x=33
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Step-by-step explanation:
Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.
That is the measurement of angles 7 and 8 add up to be 180.
mAngle7+mAngle8=180
(2x+15) + (3x ) =180
2x+15 + 3x =180
Combine like terms:
5x+15 =180
Subtract 15 on both sides:
5x =180-15
Simplify right hand side:
5x = 165
Divide both sides by 5:
x =165/5
Simplify right hand side:
x =33
The measure of angle 7 is 2x+15=2(33)+15=66+15=81.
The measure of angle 8 is 3x=3(33)=99.
Recall vertical angles are congruent.
5 and 7 are vertical so the measure of angle 5 is 81.
6 and 8 are vertical so the measure of angle 6 is 99.
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Let's first just do the multiplication and ignore the decimal points.
2073 x 4 = 8292.
Now there are 3 decimal points we need to consider. So, that gives us an answer of 8.292
:)
The answer is -3.9364916731.
First find the slope of the reference line:
2x+4y=-6 subtract 2x from both sides
4y=-2x-6 divide both sides by 4
y=-2x/4-6/4
So the slope of the reference line is -2/4=-1/2
For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:
m1*m2=-1, in this case we have:
-1m/2=-1
-1m=-2
m=2
So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:
y=mx+b and we found than m=2 so:
y=2x+b, and using the point (2,5) we can solve for b
5=2(2)+b
5=4+b
1=b so the perpendicular line passing through the point (2,5) is:
y=2x+1
