X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:
x=2y
2(10y+x)=12+(10x+y)
We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4
x=2y
x=2(4)=8
The number is: 10y+x=10*4+8=48
Answer: the number is 48.
b)
the number is: 10x+y
we can suggest this system of equations:
8(x+y)=(10x+y)+19
x=y-2
We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3
x=y-2
x=3-2=1
The number is: 10x+y=10*1+3=13
Answer:the number is 13.
c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:
y=2x
2(10x+y)=9+(10y+x)
We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3
y=2x
y=2*3=6
The number is: 10x+y=10*3+6=36
Answer: the number is 36
The answer to you question is 5353 because height=13428.7 x tan (21’44’) = 5353
Answer:
D. No, he chose members that were not part of the population
Step-by-step explanation:
A random sample is a sampling technique in which each sample has an equal chance of being chosen. For example, blindly selecting five names from a hat filled with named sheets of paper is a random sample.
Daniel's sample is not random because each sample did not have an equal probability of being chosen. All names he does not recognize are immediately eliminated from being chosen. With this, we can eliminate choices A and B.
Daniel did not chose names from the town he was collecting data for. He chose ones from his own neighborhood. It wasn't in the population he was focusing on.
Therefore, the best answer is D.
hope this helps :)
Hi there!
The formula for the area of a kite is A = 1/2(d1 x d2). Using this formula, all we need to do to find the area is to plug in each diagonal length, then solve the equation.
WORK:
A = 1/2(15 x 16)
A = 1/2(240)
A = 120cm^2
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
