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Alex73 [517]
3 years ago
13

Find two different fractions whose sum is equal to 1

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
1/2+1/2=1
2/4+2/4=1
Hope i helped:)
serious [3.7K]3 years ago
6 0
1/8 + 7/8 =1
or
3/5 + 2/5 = 1
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You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x
Vadim26 [7]

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

                                        = 22 yd

In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

x° + 69° + 69° = 180°

x = 180 - 138

x = 42°

7 0
3 years ago
Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
2 What is the constant in the expression 8x3 + 5 + 7x2 + 6x?<br> A 8<br> B 5<br> C 7<br> D 6
lys-0071 [83]
Answer:
D) 6
Step by step explanation:
6x is the coefficient the constants would be 8,3,5,7 and 2.

Coefficient is the number with a variable and a constant is a number on its own.

Hopefully this helped!!
3 0
3 years ago
Point D is between Points E and F. DE = 3x + 9, DF = 12x - 1<br> and EF = 38. Find DE and DF.
jarptica [38.1K]

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

7 0
3 years ago
A sample of n = 4 scores has SS = 48. What is the estimated standard error for this sample? Group of answer choices
mylen [45]

Answer:

2

Step-by-step explanation:

We have

n = 4 scores

SS = 48

For this question, we are required to find the estimated standard error

To get this, we first solve for the variance

S² = SS/n-1

= 48/4-1

= 48/3

= 16

Then S² = 16

S = √16

S = 4

Then the estimated standard error is given by:

S/√n

= 4/√4

= 4/2

= 2.

The estimated standard error is 2.

4 0
2 years ago
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