Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem



Since given AD=BC,let us plugin BC=x in above step.


6x=11
x=
Now we know AD=x=
and given CD=√2.
Let us apply Pythagoras theorem for ΔACD



= 2.315cm
Here, I'll do the first one for you.
When they are talking about a number, use "x".
Since it says twice a number, you say 2x. Or 3x for three times the number
2x+12=3x-31
Then use algebra to find x. Get the numbers on one side and all the x's on the other.
2x+12+31=3x-31+31
2x+43-2x=3x-2x
x=43
Now do the rest on your own!
Answer:
<em>Rachel will earn $85 in 10 hours.</em>
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today.
Suppose, she will earn
dollar in 10 hours tomorrow.
So, <u>according to ratio of 'dollar' and 'hours'</u>, the equation will be.....

After cross multiplying, we will get.....

Thus, Rachel will earn $85 in 10 hours.
Let x represent some number
Sum of 3 and twice some number = 3 +2x
Five times the sum of 3 and twice some number: 5(3+2x)
5(3+2x)=70
15+10x=70
Subtract 15 from both sides to have 10x by itself
10x=55
Divide 10 on both sides to get x by itself
x=55/10
x=5.5
Hope this helped
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.

First, you should find the amount of money you can make by washing 1 car (unit rate).

To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.
Do the same thing to the numerator; 28 ÷ 7 = 4.
Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.

To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.
Now do the same thing to the numerator; 4 × 6 = 24.
You can earn 24 dollars by washing 6 cars.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━