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
Answer:
i) The approximate solutions are:
,
.
ii) The approximate solutions are:
,
.
Step-by-step explanation:
i) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are:
,
.
ii) The best approach to estimate graphically the solution of
is graphing the following system of equations:
(1)
(2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are:
,
.
Answer:
Mr Rowdy 9/7
Miss Rivera 16/15
No, the ratios are not equivalent
Step-by-step explanation:
Adding on to the previous, estimate FRACTIONS of the chart, and then figure out the percentage of those fractions