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Ann [662]
3 years ago
15

Can someone please tell me what the angle of x is?

Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:

x = 71

Step-by-step explanation:

<B is a right angle, so triangle ABE is a right triangle, and angles BAE and AEB are complementary.

m<BAE + m<BEA = 90

42 + m<BEA = 90

m<BEA = 48

<BEC is a straight angle, so its measure is 180 deg.

m<CED + m<DEA + BEA = 180

61 + x + 48 = 180

x + 109 = 180

x = 71

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coldgirl [10]
$2.38/0.40 lb = $5.95/1 lb
The spinach cost $5.95 per pound.
6 0
3 years ago
Select all the common denominators for 8/3 and 5/6 .......12, 24, 32, 36, 48
BabaBlast [244]
Hello.

The answer to your question is = 
12, 3 x 4 and 6 x 2.
24, 3 x 8 and 6 x  4.
36, 3 x 12 and 6 x 6.
48, 3 x 16 and 6 x 8.

So it's pretty much everything except for 32.
Have a great day!
6 0
4 years ago
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Find the value of 1×4+2×5+3×6......n×(n+3)​
Arada [10]

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

3 0
3 years ago
Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

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Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

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3 years ago
Find the greatest common factor of 56, 28, and 14.
Vlad1618 [11]

Answer:

14

Step-by-step explanation:

7 0
4 years ago
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