Okay, so I really hope that you can read all my work. I just spent the last 45 mins doing this problem as neatly as possible with as much detail as possible. So, I really hope my work doesn't confuse you.
My Final Answers were:
JI= 40 units (found using the Pythagorean theorem)
IM= 66.66 units = 66 and 2/3rds (found by dividing the length of JL by the cosine of ∠JIM )
LM=42.66 units = 42 and 2/3rds (found by IM= 24+LM; solve for LM since we know IM=66.66)
JM= 53.33 units= 53 and (1/3rd) (found by using the Pythagorean theorem; this time using JI as "a" and IM as c)
Hope this helped and all made sense!
(Pythagorean theorem is a²+b²=c²)
Answer:
84 units
Explanation:
If B is the midpoint of line AC, then B divides AC into two equal parts (AB and BC).
Therefore:
AB=BC
2x-8=x+17
2x-x=17+8
x=25
Therefore, the measure of the line segment AC
=2(2x-8)
=2(2(25)-8)
=2(50-8)
=2(42)
AC=84 units
Answer:
The dimensions of the rectangle are
length = 34 yards
width = 15 yards
Step-by-step explanation:
Given:
The shape is of rectangle,
Width of rectangle = x
Area of rectangle = 510 yd²
According to the given condition
Length of rectangle = 4 + 2x
To Find:
length =?
Width = ?
Solution:
We know that,

On substituting the given values we get

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get
∴ 
∴ Width x = 15 yard
∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard
The dimensions of the rectangle are
length = 34 yards
width = 15 yards
Answer:
It is 1.5
Step-by-step explanation:
{0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 11}
the middle two are 1 and 2.
the mean of 1 & 2 is 1.5 now you have the median!
The properties that apply true are:
1–as it implies the Pythagorean theorem; a^2+b^2=c^2
3–as it implies the basic rules of visualized geometry.
4–as the greater side(hypotenuse) is opposite the right angle.
NOT 2, as the accrue angles ARE complimentary.