Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-7)/(5-(-1))
m=0/(5+1)
m=0/6
m=0
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
Answer:
A.
Step-by-step explanation:
Take a look at what happens when squaring either of these...

Notice a couple of patterns.
1. The last term has a positive coefficient. That rules out answer choices C and D.
2. The coefficient of the middle term is either
. So what are <em>a</em> and <em>b</em>? <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

The middle coefficient needs to be either +30 or -30. The answer is choice A.
Answer:
12
Step-by-step explanation:
Let the number = x
7x + 1 = 5x + 25 Subtract 5x from both sides.
7x - 5x + 1 = 5x - 5x + 25 Combine
2x + 1 = 25 Subtract 1 from both sides.
2x + 1 - 1 = 25-1 Combine
2x = 24 Divide by 2
2x/2 = 24/2
x = 12
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft