On the planet Joop, there are 6 gespils to every 14 vreels. If farmer
1 answer:
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Answer:
110 degrees, 84 degrees
Step-by-step explanation:
Picture 1:
See attached image for the angles I am referencing.
measure of angle a= measure of the 110 degree angle because of corresponding angles
measure of angle b=measure of angle a because of vertical angles
Therefore, through transitivity, we can state that the measure of
angle b= angle a= 110 degrees
Picture 2:
angle x=84 degree angle through alternate interior angles.
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
Answer:
Step-by-step explanation:
First convert them into improper fractions: and
. Now we add:
or
.