x° = 43°
Solution:
The lines AD, BE and CF are intersecting lines.
Given m∠AGF = 47°, m∠BGC = 90°, m∠DGE = x°.
To find the value of x°:
Line BE and line CF intersect at the vertex G.
∠BGC and ∠FGE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertically opposite then they are congruent.
By vertical angle theorem, ∠BGC ≅ ∠FGE
⇒ m∠FGE = 90°
Sum of the angles in a straight line = 180°
In line AD,
m∠AGF + m∠FGE + m∠DGE = 180°
⇒ 47° + 90° + m∠DGE = 180°
⇒ 137° + m∠DGE = 180°
⇒ m∠DGE = 180° – 137°
⇒ m∠DGE = 43°
⇒ x° = 43°
Hence the value of x° is 43°.
Answer: 5.39 hours
Step-by-step explanation:
For Jill:
Number of hours used = 8.4 hours
Number of bushels of apples picked = 40
Number of bushels of apples picked per hour will be: = 40/8.4 = 4.7619
For Maria:
Number of hours used = 15 hours
Number of bushels of apples picked = 40
Number of bushels of apples picked per hour will be: = 40/15 = 2.6667
We then add the number of bushels of apples picked per hour for both of them together. This will be:
= 4.7619 + 2.6667
= 7.4286
If they worked together, the hours they'll take to pick 40 bushel of apples will be:
= 40/7.4286
= 5.39 hours
I believe it’s A but if i’m wrong i’m sorry
Answer:
(4, 9) and (-10, -8)
Step-by-step explanation: