To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 120 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 120, so we can write it down as 100%=120.
4. We know, that x% equals 371 of the output value, so we can write it down as x%=371.
5. Now we have two simple equations:
1) 100%=120
2) x%=371
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=120/371
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 371 is what percent of 120
100%/x%=120/371
(100/x)*x=(120/371)*x - we multiply both sides of the equation by x
100=0.323450134771*x - we divide both sides of the equation by (0.323450134771) to get x
100/0.323450134771=x
309.166666667=x
x=309.166666667
now we have:
371 is 309.166666667% of 120
Answer:
B
Step-by-step explanation:
When you multiply 2 equations together, you just multiply them. You'd get x(3x-20) = 3x^2 - 20x, which is B
The correct answer is:
A) 5x + 15
Explanation:
5x is the area of the green square (5•x)
15 is the area of the orange rectangle (5 •3 =15)
To have the total area you have to sum the areas of the two figures: 5x + 15
Answer:
130 degrees
Step-by-step explanation:
7 and 2 are alike.
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
