Answer:
m + n = 15
m - 3 = n
The numbers are 9 and 6
Step-by-step explanation:
From the question,
The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that
m + n = 15 ..... (1)
Also, from the question,
One number is three less than the other,
Also, to translate to a system of equations, we can write that
m - 3 = n ...... (2)
If desired, we can determine m and n
From equation (1)
m + n = 15
Then,
m = 15 - n ...... (3)
Put the value of m in equation (3) into equation (2)
m - 3 = n
Then
15 - n - 3 = n
15 - 3 = n + n
12 = 2n
n = 12/2
∴ n = 6
For m, put the value of n into equation 3
m = 15 - n
m = 15 - 6
m = 9
∴ m = 9 and n = 6
Hence, the numbers are 9 and 6
Answer:
Step-by-step explanation:
hypotenuse=2*AB
where AB is the smallest side.
Take AB as the base .
Draw a perpendicular at B.
A as the center and cut an arc AC=2 AB
Join AC.
CAB is the reqd. triangle.
Let me give you an example
6x + 5x + 14 + 6
So all you is combine 6x and 5x
11x +14 + 6
Then you just combine the other two numbers
11x + 20
Answer:

Step-by-step explanation:
Given

-- Midpoint
Required
Find B
This question will be solved using midpoint formula;

Where


Substitute these values in the midpoint formula;

By comparison; we have:
-- (1)
-- (2)
Solving (1)

Multiply both sides by 2

Subtract 4 from both sides

Solving (2)

Multiply both sides by 2

Subtract 8 from both sides

Hence:

Answer:
900°
Step-by-step explanation:
interior angles of a polygon = (n−2)×180°, where n is number of sides
for heptagon it is: (7-2)×180°= 900°