Answer:
x ≤ 6 and x ≥ 2
Step-by-step explanation:
For now, we will start with doing each problem at a time. Here is your equation:
2x - 4 ≤ 8
First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:
2x - 4 ≤ 8
+ 4 + 4
The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:
2x ≤ 12
Next, you want the x by itself. So, you would divide both sides by 2.
2x ≤ 12
/2 /2
2 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:
x ≤ 6
But, you now have to do the other one!
Here is what you start off with:
x + 5 ≥ 7
First, you want the variable side by itself. So, you subtract 5 from both sides.
x + 5 ≥ 7
- 5 -5
Now, you have this:
x ≥ 2
Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:
x ≤ 6 and x ≥ 2
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
Let's use the variable r to represent ricky's base hits:
Ricky is r
Pedro is r + 276
So:
r + r + 276 = 2676
2r = 2400
r= 1200
Ricky hit 1200 base hits, and Pedro hit 1476 base hits.
Answer:
36
Step-by-step explanation:
It's so obvious lollllll
Answer:
Option C. x=7
Step-by-step explanation:
we know that
If PQ is parallel to BC
then
triangles APQ and ABC are similar
Remember that
If two figures are similar them the ratio of its corresponding sides is proportional
so

substitute the values

Solve for x
