The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
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<span>88
This problem can be solved two ways. Since the ratio of each side is 3:8, you can use that ratio to calculate the length of each side of the larger triangle and then add them up to get the perimeter. Or you can realize that the perimeter will also have the ratio 3:8 and calculate the perimeter of the smaller triangle and then use the ratio to calculate the perimeter of the larger triangle. Since I'm lazy, I'll be using the second approach.
Perimeter of smaller triangle is 8 + 11 + 14 = 33 cm.
Now we can setup an equation to calculate the perimeter of the larger triangle:
33/3 = X/8
11 = X/8
88 = X
So the perimeter of the larger triangle is 88.</span>
Answer:The answer is 34 with no remainder.
Step-by-step explanation:When you divide 3060 by 90 you get a whole number of 34 with no remainder.
Answer:
1/10 or 10%.
Step-by-step explanation:
If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.
Answer:
2x2+6xy
Step-by-step explanation:
- 2x2+3xy+3xy
- Combine like terms, 2x2+6xy
