Answer:
See below
Step-by-step explanation:
Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:
AB^2 - BD^2 = AD^2
We have the values of AB and BD, so we can substitute them and solve for AD:
x^2 - (x/2)^2 = AD^2
x^2 - x^2 / 4 = AD^2
AD^2 = 3x^2 / 4
AD = x√3 / 2
DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:
AD^2 + DE^2 = AE^2
(x√3 / 2)^2 + x^2 = AE^2
3x^2 / 4 + x^2 = AE^2
AE^2 = 7x^2 / 4
AE = x√7 / 2
Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4
Therefore, we can come to the conclusion AE^2 = 7 EC^2
1. Vertex is (-3,-7), y intercept: (0,10) 2. Vertex is (-3,13) and y int is (0, -15)
It is the biggest number that two numbers are divisible by.
For example, if you did 12 and 24
The factors of 12 are:
1, 2, 3, 4, 6, 12
The factors of 24 are:
1, 2, 3, 4, 6, 8, 12, and 24
Their greatest common factor would be 12 since, it is the greatest number that each number can be divisible by.
Answer:
ACBD
Step-by-step explanation:
Increases, gains, earnings, upward motion are all represented by positive numbers. Decreases, losses, spending, downward motion are all represented by negative numbers. Here are the sums:
A: -33.57 +14.98 = -18.59
B: 7 2/5 -3/5 = 7 +(2/5 -3/5) = 7 -1/5 = 6 4/5
C: 3 1/6 +2 1/2 = (3+2) +(1/6 +3/6) = 5 4/6 = 5 2/3
D: 23.66 -15.84 = 7.82
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Least to greatest, their order is ...
A (-18.59), C (5 2/3), B (6 4/5), D (7.82)
Answer:
Step-by-step explanation:
S56=56/2[2(-8)+(56-1)7]
S56=10332