Answer:
4g = 64
Step-by-step explanation:
Let n = the number of nectarines
and g = the number of grapefruit
We have two conditions that must be satisfied to represent the situation:
(1) n = 3g
(2) n + g = 64
If you need one equation, we can substitute (1) into (2) and get
4g = 64
Fraid not. This time, you did it left.
The tool to use is "Vertical" angles are equal. (They don't add up to 180 degrees.)
3y + 120 = 5y + 100
(you should fill in the missing steps)
y = 10°
The upper/lower pair of vertical angles are both 150°.
.
2x = 6x - 60
(you should fill in the missing steps)
x = 15°
The left/right pair of vertical angles are both 30°.
It's any two angles NEXT TO each other that add up to 180°.
Notice here that (150° + 30°) = 180° .
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
#SPJ1
14. 5
15. 2
16. -10
17. -3
18. 1
19. -20
Answer:
76 *5 = 380 $
184 - 76 = 108
108 * 4 = 432
432 + 380 = 812
Step-by-step explanation:
