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Leni [432]
2 years ago
7

The sum of three consecutive natural numbers is 1146, find the numbers.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
4 0

\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383

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viktelen [127]
$62.35  because 40*12=480 480 divided by 7.65=62.35     or just 62

I hope this helps:)
8 0
3 years ago
Find one counter example to show that the conjecture is false. angle 1 and angle 2 are​ supplementary, so one of the angles is a
Mrac [35]

Answer:

B. m ∠ 1 = 90° and m ∠ 2 = 90°

Step-by-step explanation:

For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.

When two right angles are supplementary, none of them is acute.

For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.

With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.

Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°

4 0
3 years ago
I’ve been having trouble with these all week!
Kobotan [32]

Answer:


Step-by-step explanation:

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  1. x=3 .
7 0
3 years ago
Read 2 more answers
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based o
user100 [1]

Answer:

Yes they will intersect

Function 1= F(X)=2X+5

Function 2=H(X)=3X+2

INTERSECT=(3,11)

Step-by-step explanation:

First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then

you replace the x for a number:

Table 1 (F(X)=2X+5)                                 Table 2 (H(X)=3X+2)

X=1----->Y=2+5=7                                     X=1------>Y=3·1+2=5

X=2---->Y=2·2+5=9                                  X=2----->Y=3·2+2=8

X=3---->Y=3·3+5=11                                  X=3----->Y=3·3+2=11

With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)

4 0
3 years ago
The circumference of a circular field is 279.46 yards. What is the radius of the field? Use 3.14 for π and do not round your ans
wel

Answer:

44.5 yards

Step-by-step explanation:

Start with the formula of the circumference of a circle.

C = πd

Now all you have to do is plug in the numbers.

279.46 = (3.14)d

Divide both sides by 3.14

d = 89

But since you're finding the radius, you have to divide the diameter by 2.

89/2 = 44.5

6 0
3 years ago
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