Answer:
Isosceles
Step-by-step explanation:
Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.
In these triangles:
- AD=DC (because BD is the median);
- ∠ADB=∠CDB=90° (because BD is the altitude);
- BD is common side.
Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.
If in triangle ABC, AB=BC, then this triangle is isosceles.
6x - 4(x + 3)
6x -4x -12. Distribute
2x - 12. Combine like terms
Answer:
y = x/2 - 7
Step-by-step explanation:
First, we need to find the slope of the given equation: x - 2y = 8
Subtract x from both sides
x - 2y = 8
- x - x
-2y = 8 - x
Divide both sides by -2
-2y/-2 = (8 - x)/-2
y = -4 + x/2
The slope of this equation is 1/2
So the equation of our parallel equation is y = x/2 + b
We have to find b, so plug in the given coordinates
-6 = 2/2 + b
-6 = 1 + b
Subtract 1 from both sides
-6 = 1 + b
- 1 - 1
b = -7
Plug it back into the original equation
y = x/2 - 7
Answer:
4.9=4.2
Step-by-step explanation:
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
<u>Step 1: Distribute</u>
21 + 40(2x - 3)
21 + 80x - 120
<u>Step 2: Combine like terms</u>
21 + 80x - 120
80x - 99
<u>Step 3: Solve for x</u>
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80
