Answer:
Step-by-step explanation:
Yes
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:
She can send 200 messages....
Step-by-step explanation:
We have given:
Josephine is on a cell phone plan where she pays $20 a month plus $.10 per text message she does not want to spend more than $40 on her cell phone bill
The equation we get is:
20+0.10x<=40
Now solve the inequality:
20+0.10x<=40
Combine the like terms:
0.10x<= 40-20
0.10x <= 20
Divide both sides by 0.10
0.10x/0.10 <= 20/0.10
x <= 200
She can send 200 messages....
Answer:
- ΔHJK shows G as the orthocenter
- Show A.F is the median of BC
- 18
Step-by-step explanation:
1) This is a vocabulary question. The <em>orthocenter</em> is the point where the altitudes intersect. Of course, each altitude is a segment from a vertex that is perpendicular to the opposite side of the triangle.
Perhaps it could be useful to remember the prefix ortho- means perpendicular, as in <em>orthogonal</em>. Each altitude is perpendicular to one of the sides of the triangle.
__
2) To do this proof, you would find midpoints of segments AB and AC, write the equations of the lines through them from the opposite vertex, then solve those equations to find point G. You would then write the equation for line AG and find its intersection point with segment BC (point F). The last step is to show that point F is the midpoint of BC. (It might be easier to show that midpoint F is on line AG.)
The closest answer choice, though poorly worded, is the last one: show A.F is the median of BC.
(Strictly speaking, a line segment (A.F) is not a median of a line segment (BC), but can be a median of a <em>triangle</em>, or a <em>bisector</em> of a line segment.)
__
3) The centroid divides the median into parts with the ratio 2:1. That is, the shorter part differs from the longer one by 2-1 = 1 ratio unit. If those parts differ in length by 6 measurement units, then one ratio unit must be 6 measurement units. The total length of the median is 2+1 = 3 ratio units, or 3×6 measurement units = 18 measurement units.
_____
<em>Comment on A.F</em>
Brainly thinks the name of the segment starting with A and ending with F is a "bad word" so won't let it be posted.
Answer:
Yes
Step-by-step explanation:
