I am two numbers, the sum of my numbers is 100, the difference between my two numbers is 30,

Answers

Answer 1
Answer:

The two numbers are 35 and 65.

What is an equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Given that, two numbers, their sum is 100 and the difference between them is 30. We need to find the number,

Let the 2 numbers be x and y.

y = x + 30

Sum of the two numbers = 100

x + y = 100

x + (x + 30) = 100        

2x = 70

x = 35

y = x + 30 = 65

Hence, the two numbers are 35 and 65.

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Answer 2
Answer: Let the 2 numbers be x and y.
y = x + 30 ( as the difference between the two numbers is 30)
Sum of the two numbers = 100
=> x + y = 100
=> x + (x + 30) = 100                                            ( as y = x + 30 as shown above )
=> 2x = 70
=> x = 35
     y = x + 30 = 65
Hope I helped! you may comment here if you have any further doubts and i will answer them :)

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Find the value of 24/m when m= -8

Answers

The answer is -3 because 24/-8=-3 
The answer is -3. 24/8=3 and with 24/-8 all you do differently is place a negative sign in front of the 3.

Which category of two-dimensional shapes applies to all three of these shapes?

Answers

All three of these shapes are isosceles triangles.

X+ 1/x =5 what is the value x²+1/x²?

Answers

x+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~

b) Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning. (1 point)

Answers

Answer:

She is incorrect.

Step-by-step explanation:

ABCD is a quadrilateral. Angle C measures less than 180 degrees. The sum of the measures of two supplementary angles equals 180 degrees. The sum of the measures of angles DCA and BCA equals the measure of angle C, but angle C measures less than 180 degrees, so the angles are not supplementary.

Answer:

incorrect

Step-by-step explanation:

I give thank and 5 stars :D

Answers

Hi Brainiac


6(s - 8) ≤ -18

Simplify both sides

6s - 48 ≤ -18

Now add 48

6s - 48 + 48 ≤ -18 + 48

6s ≤ 30

Divide both sides by 6 so we can find the value for s

6s/6 ≤ 30/6

s ≤ 5


I hope that's help:0

Determine and prove what shape is formed for the given coordinates for ABCD, and then find theperimeter and area as an exact value.
A (10,-4), B (6,-7), C (3,-3), D (7,0)

Answers

Answer:

Square

Step-by-step explanation:

Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.

Find slopes of the sides:

AB:\ (-7-(-4))/(6-10)=(3)/(4)\n \nBC:\ (-3-(-7))/(3-6)=-(4)/(3)\n \nCD:\ (0-(-3))/(7-3)=(3)/(4)\n \nDA:\ (-4-0)/(10-7)=-(4)/(3)

The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.

Find the lengths of all sides:

AB=√((10-6)^2+(-4-(-7))^2)=√(4^2+3^2)=√(16+9)=√(25)=5\ units\n \nBC=√((6-3)^2+(-7-(-3))^2)=√(3^2+4^2)=√(16+9)=√(25)=5\ units\n \nCD=√((3-7)^2+(-3-0)^2)=√(4^2+3^2)=√(16+9)=√(25)=5\ units\n \nAD=√((10-7)^2+(-4-0)^2)=√(3^2+4^2)=√(16+9)=√(25)=5\ units\n \n

All four sides are of the same length.

Quadrilateral ABCD is a square (all sides of equal length and perpendicular)