Answer:
radical 65
Step-by-step explanation:
4+7 are squred and under a radical bar
4^2 +7^2= 16 +49 under radical bar
radical 16+49=radical 65
good luck
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.
AB/BD = CD/DE
x/12 = 4/6
x = 12(4/6)
x = 8
To determine the answer it would be helpful if we write this equation into the slope intercept form which is expressed as:
y = mx+b
<span> y−2x=816
y = 2x + 816
4x=2y
y = 2x
We can see that the slope of the two equations are the same. Therefore, they are parallel which means they do not intersect. The correct answer is the third option, there is no solution.</span>
9514 1404 393
Answer:
C 24
D 25
Step-by-step explanation:
Consider the choices offered:
5 and 7 will not form a triangle* with any of the other lengths
7 and 12 will not form a triangle with any of the other (longer) lengths
7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)
7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.
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<em>Further consideration</em>
7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem
The side measures 7, 24, 25 will form a right triangle.
_____
* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.
The altitude is the mean proportional between the left and right parts of the hyptenuse

Answer: 14.1