A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer: x
≤
−
4
or
x
≥
8
Step-by-step explanation:
Answer:
x=24 y=33
Step-by-step explanation:
If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.
Answer:
x = 105
Step-by-step explanation:
the sum of all interior angles of any four-sided figure has 360 degrees
∡F and ∡H are equal
add all four expressions and set them equal to 360
x + (x + 5) +( x + 5) + (140 - x) = 360
combine like terms
2x + 150 = 360
2x = 210
x = 105
