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mihalych1998 [28]
3 years ago
7

The sum of 2 consecutive numbers is 37. Find the numbers. If x represents the smaller integer, then the larger integer is

Mathematics
1 answer:
NARA [144]3 years ago
6 0

Answer:

x + 1

Step-by-step explanation:

There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.

To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.

15 + 16 = 31

These numbers are too low, as they should add to 37. Let's try 18 and 19.

18 + 19 = 37

There are the two correct numbers. If x = the smaller number, x = 18.

18 + 1 = 19

Since this is correct, we know for sure that the answer is x + 1.

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What are the values of x and y. In the given figure?
anyanavicka [17]

Answer:

y = 52 degrees

x = 7 degrees

Step-by-step explanation:

Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.

[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]

- www.ck12.org

So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees

Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:

52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}

52 + 52 = 14x + 6 --> Now we should simplify:

104 = 14x + 6

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x = 7 degrees

6 0
3 years ago
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What is the area of a circle that has a radius of 5 meters
Xelga [282]

Answer:

78.55m^2

Step-by-step explanation:

General formula for the area of a circle is πr^2

π=3.12

r=5m

So let's apply the formula

3.142×(5)^2

3.142×25

78.55

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The difference of a number and 6 is the same as 5 times the sum of the number and 2
gavmur [86]

Answer:

n - 6 = 5 * ( n + 2 ) ; n = -4

Step-by-step explanation:

For this problem, we will use the words to create an equation.  The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2.  Hence, we can build the equation:

n - 6 = 5 * ( n + 2 )

If we wanted, we can solve the equation for the number, n.

n - 6 = 5 * ( n + 2 )

n - 6 = 5 * n + 5 * 2

n - 6 = 5n + 10

-16 = 4n

-4 = n

Thus, we have found the missing number to be negative four.

Cheers.

3 0
3 years ago
Please help will give brainliest
Irina18 [472]

Answer:

4

Step-by-step explanation:

The number of kids who like vanilla is 13 the number of kids who like strawberry is 9

13-9=4

hope this helps!!

7 0
2 years ago
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