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abruzzese [7]
3 years ago
14

What is the measure of ∠CEF?

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
8 0

Answer:

D. 110

Step-by-step explanation:

30+40=70

180-70=110

STatiana [176]3 years ago
5 0

Answer:

∠CEF = 110°

Step-by-step explanation:

ΔBED ,

∠BED +  ∠BDE + ∠DBE = 180 {Angle sum property}

∠BED + 40 + 30 = 180

∠BED + 70 = 180

∠BED = 180 -70

∠BED = 110°

∠CEF = ∠BED     {Vertically opposite angles}

∠CEF = 110°

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The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then
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Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

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3 years ago
Which fraction is equivalent to 3<br> 1/3<br> 2/1<br> 3/3<br> 5/2<br> 6/2
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Step-by-step explanation:

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8 0
4 years ago
Different ways to make 7502 in hundreds
Olegator [25]
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4 years ago
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Crazy boy [7]
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4 0
4 years ago
(n2+11n+25) ÷ ( n+5) long division
zmey [24]

Answer:

(n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,R5

Step-by-step explanation:

<u>Synthetic division:</u>

-5 | 1  11  25

____<u>-5 -30</u>

     1  6 | -5

Therefore, (n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,_$R$5

<u>Long division:</u>

n+5 | n² + 11n + 25

    -   <u>n² + 5n____</u> <-- n

                6n + 25

    -   <u>        6n + 30</u> <-- 6

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Therefore, (n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,_$R$5

6 0
3 years ago
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