From the markings on the diagram, we can tell E is the midpoint of BC and <u>D</u> is the midpoint of AC. We can apply the <u>triangle midsegment theorem</u>: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = <u>5</u>. Now, since BE = x, then BC = <u>10</u>.
<h3>What is
triangle midpoint theorem?</h3>
Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem, we can find the value of x:
ED = ½BA
x + 2 = ½(4x - 6)
2x + 4 = 4x - 6
4x - 2x = 6 + 4
2x = 10
x = 10/2
x = 5.
BC = x + x
BC = 5 + 5
BC = 10.
Read more on triangle midpoint theorem here: brainly.com/question/16047906
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Answer:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 
or just 
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at 
alone for a second.
*
if is positive or zero.
When is positive or zero? [greater than or equal to 0]
Subtract 3 on both sides
*
if is negative or zero.
When is negative or zero? [less or equal to 0]
Subtract 3 on both sides
So looking at the bullet points (the *), fits into the first inequality.
Therefore, .
It is most likely equal to two soccer fields
Answer:
V = 38659.68 cm^3
Step-by-step explanation:
If we pretend A barrel is a cylinder we use V=πr^2h for the volume. We know h, but we need to find r
The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.
C = 2πr
56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14
56.52/(2*3.14) = r
9 cm = r
Now we can just plug into the volume.
V=πr^2h
V = 3.14 * 9^2 * 152
V = 38659.68 cm^3
I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.
Answer:
The answer is D on edgen.
Step-by-step explanation:
D. 80
(all you do is add 40, 14 and 26 from the graph)
