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:
54
Step-by-step explanation:
Answer: 9xy−16.3x−10.2
Step-by-step explanation:
Distribute:
=0.95x+−9+9xy+−18x+(−0.25)(−3x)+(−0.25)(4.8)
=0.95x+−9+9xy+−18x+0.75x+−1.2
Combine Like Terms:
=0.95x+−9+9xy+−18x+0.75x+−1.2
=(9xy)+(0.95x+−18x+0.75x)+(−9+−1.2)
=9xy+−16.3x+−10.2
Answer:
120x^3
Step-by-step explanation:
exponent rule --> a^b x a^c = a^b+^c
10^-6 x 10^7 = 10^6 + ^7
add / subtract numbers -- > -6 + 7 = 1
=2XX x 6X x 10
aponent rule --> a^b x a^c = a^b+^c
xxx = x^1 + ^1 + ^1
= 2 x 6x^1 + ^1 + ^1 x 10
= 2 x 6x^3 x 10
= 120x^3
Answer:
Option A and E.
Step-by-step explanation:
It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.
In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.
So here the shape can be broken into a triangular prism and rectangular prism
Therefore the first option is correct
Now as we know that
Volume of the rectangular prism is
= l×b× h
= 8 × 15 × 6
= 720
And, the volume of the triangular prism is bh
And, the area of the triangular prism is 1 ÷ 2 × b × h
= 1 ÷ 2 × 8 × 3
= 12
Now the volume is
= 12 × 15
= 180
So, the volume of the tool box is
= 720 + 180
= 900
Hence, the last option is correct
