Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Answer:
x = 1 or x = -4 or x = -6 thus d: is your answer
Step-by-step explanation:
Solve for x over the real numbers:
x^3 + 9 x^2 + 14 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (x + 6) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or x + 6 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or x + 6 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 1 or x = -4 or x = -6
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
Answer:
C
Step-by-step explanation:
The area of triangles is 1/2 x b x h.
Plug them in!
1/2 x 24 x 35
Simplify.
12 x 35
420 square inches
Answer:
There are no solutions.
Step-by-step explanation:
First simplify the equation.
<u>6(x - 2)</u> = 8 + 6x
Distribute.
6x - 12 = 8 + 6x
Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.
