Answer:
Ef=52
Step-by-step explanation:
By the mids segment theorem if a line sgement has endpoints on the midpoints of 2 sides of a triangle then it is half the size of the third side.
That means
2(4x+8)=9x-5
8x+16=9x+5
11=x
Then plug it back in to EF
4(11)+8
44+8
52
Answer:
pythagorean theorem
18
Step-by-step explanation:
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2
Answer:
For x
We use cosine
cos 45° = 2/x
After solving
x = 2√2
Since we have the value of x we use it to get the value of y
we use cosine
cos 60° = 2√2/y
y =2√2/cos 60
y = 4√2
We use Pythagoras theorem to find z
(4√2)² = (2√2)² + z²
z² = 32 - 8
z² = 24
z = √24
z = 2√6
Therefore x = 2√2
y = 4√2
z = 2√6
Hope this helps.
Answer:
Volume of box= Box Area * Box height
Step-by-step explanation:
If the box has equal sides then the l=w=h length is equal to height and both are equal to width so this can also be written as l=l=l or
Volume= length * width * height
V= l*w*h
V= l*l*l
V= l³
or if the three sides are not equal this can also be written as
Volume of box= Box length * Box width * Box height
If we observe closely we find that length * breadth gives the area so the volume of the box can also be written as
Volume of box= Box length * Box width * Box height
Volume of box= Box Area * Box height