Answer:

Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:

Plug in the values


Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values





Take the square root of both sides




Answer:
unit rate is 106 miles per hour and it can go 1272 miles in 12 hours
Step-by-step explanation:
-divide 530 by 5 and you get 106 miles an hour.
-then multiply 106 by 12 to get 1272 miles an hour.
4/7 of a chance. There are a total of 14 cars. 6 are yellow. 8 are not. 8/14 of the cards are not yellow. 8/14 simplifyed= 4/7.
So the formula is
7*(1/3+1/5) = x
First find the common denominator of the fractions. In this case the common denominator of 3 and 5 is 15 so we must convert them to 15ths. To do that we divide 15 by the denominator and take that answer and multiply the numerator by it.
So for 1/3 we take 15/3(denominator) = 5 and multiply the numerator (1) by it
5 * 1 = 5 so 1/3 converts to 5/15
Do the same for 1/5 we take 15/5 = 3 and multiply the numerator (4) by it
3*4 = 12 so 4/5 converts to 12/15
Now we add 5/15 and 12/15 = 17/15 so we have our formula now to
7*17/15
We make seven a fraction 7/1 and multiply across 7*17 = 119 and 15 * 1 = 15
We have 119/15 which when we divide and get 7 14/15 as your answer
If EG=67 we have (3x+7)+(5x-4)=67
let's simplify

now we know x is 8 we can use this to find EF
since EF=3x+7

so we have EF is 31!
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