Answer:
21 (42 for original, 21 is the angle measure divided by 2)
Step-by-step explanation:
First let's start by finding the value of x.
We know that Angle BCA is equivalent to 180-8x+30 so Angle BCA = 210-8x.
Since angles in a triangle add up to 180:
4x+8+2x+2+210-8x=180
-2x=-40
x=20
Now we plug 20 in for x
2x+2=2(20)+2=42
The question asks for the angle measure to be divided by 2 so...
42/2=21
Answer:
4.5 % alloy
Step-by-step explanation:
Let x = amt of 30% alloy
The resulting total is to be 25 oz, therefore:
(25-x) = amt of 5% alloy:
A typical mixture equation:
.30x + .05(25-x) = .20(25)
.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25
.25x = 3.75
x = 3.75%2F.25
x = 15 oz of 30% alloy required
then
25-15 = 10 oz of 5% alloy:
Check solution
.30(15) + .05(10) = .20(25)
4.5 + .5 = 5
The table could include values like this:
x y
-2 -8
-1 -2
0 0
1 -2
2 -8
Answer:
x=2 or x=-2.5
Step-by-step explanation:
I did the quadratic equation with a=1, b=3, c=-10.
(hope this helps :P)
Helloo
Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=50</span><span>c=50</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅50)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅50)</span></span></span><span>2⋅-1</span></span></span>Simplify.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span>The result can be shown in both exact and approximate form.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span><span>x≈7.07106781,−<span>7.07106781
Have a nice day</span></span>