Answer:
<u>Option C. 9</u>
Step-by-step explanation:
The question is as following:
In triangle ABC, D is the midpoint of line AB and E is the midpoint of line BC. If AC= 3x-15 and DE= 6, what is the value of x?
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See the attached figure which represents the problem.
As shown:
D is the midpoint of line AB ⇒ AD = DB
E is the midpoint of line BC ⇒ BE = EC
Apply The Mid-segment theorem which states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side.
So, DE = 0.5 AC
Given: Ac = 3x-15 and DE =6
∴ 6 = 0.5 (3x - 15)
solve for x
Multiply both sides by 2
12 = 3x - 15
3x = 12 + 15 = 27
x = 27/3 = 9
So, the value of x is 9
<u>The answer is option C. 9</u>
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
Answer below
Step-by-step explanation:
A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.
HOPE IT HELPED
Answer:
The radius of the circle is 25m
Step-by-step explanation:
Here, we are to calculate the radius of the circle.
The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.
We can then use Pythagoras’s theorem to approximate the value of the radius
Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides
r^2 = 7^2 + 24^2
r^2 = 49 + 576
r^2 = 625
r = √(625)
r = 25m
Answer:
it is correct
Step-by-step explanation:
b/c 5a square - 25b square
= 5(a square - 5 b square )
