Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
Answer:
A
Step-by-step explanation:
Answer:
Estimate = 0.4
Quotient = 0.355 ---> Approximated to nearest thousandth
Step-by-step explanation:
Question like this is better answered using attachment;
See Attachment
When 1.066 is divided by 3,
The quotient is 0.3553......
When estimating to tenths,
We stop the quotient at 0.35 then round it up.
This gives 0.4
When estimating to nearest thousandth,
We stop the quotient at 0.3553 then round it up;
This gives 0.355
Answer:
Yes, both have the same value ( 20) when x = 5.
Step-by-step explanation:
We have two functions:
y = 15 + x
y = 4*x
We want to see if these functions have the same value when x = 5.
Then we just need to replace x by 5 in both equations, and see if the values of y are the same
first function:
y = 15 + 5 = 20
second function:
y = 4*5 = 20
So yes, both functions are equal to 20 when x = 5.
Answer:
The desired equation is y = (-8/3)x + 26/3.
Step-by-step explanation:
Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.
Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:
y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b
Multiply all terms by 3 to clear out the fraction:
-6 = -32 + 3b.
Then 26 = 3b, and b = 26/3.
The desired equation is y = (-8/3)x + 26/3.
