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3 years ago

Find Measurement m<E please hurry

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

Answer:
∠E = 40°

Explanation:
The sum of interior angles in any polygon can be calculated using the following rule:
sum of interior angles = (n-2)*180
where n is the number of sides.

Now, a quadrilateral has 4 sides, this means that:
sum of interior angles = (4-2)*180 = 360°

Based on the above:
∠C + ∠D + ∠E + ∠F = 180

We are given that:
∠C = 60°
∠D = ∠E = ∠F

Therefore:
60 + 3*∠E = 180
3 * ∠E = 120°
∠E = 120/3 = 40°

Hope this helps :)

ZanzabumX [31]3 years ago

7 0

The total angles in a quadrilateral should add up to 180

180-60=120

Since they all have one line, the other three angles are the same so

120/3= 40

So angle E is 40 degrees

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if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet

anzhelika [568]

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1/5

Step-by-step explanation:

Well work can be defined as: $work = rate \ *\ time$

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: $10a + 10b=1$ where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: $15b=1$

If we divide by 15 here, we get the equation: $b=\frac{1}{15}$

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$10a+\frac{2}{3}=1$

subtract 2/3 from both sides

$10a=\frac{1}{3}$

Now divide both sides by 10

$a=\frac{1}{30}$

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

$6a=\frac{6}{30}$