Answer:
x = 3.4
Step-by-step explanation:
Step 1: Isolate <em>x</em>
0.5x = 1.7
Step 2: Divide both sides by 0.5
x = 3.4
And we have our final answer!
Answer:
97 degrees
Step-by-step explanation:
180-19x+2+6x+15x-12 = 180
2x + 170 = 180
2x = 10
x = 5
19(5)+2 = 97 degrees
Answer:
Step-by-step explanation:
Given:
5/2(6x - 7) + 4/3(2 + 9x)
Rewrite:
Distribute by multiplying:
Distribute by multiplying again:
Combine like terms:
The given expression, simplified, is;
The sum of the measures of the interior angles of a polygon of n sides is
180(n - 2)
If the polygon is regular, all angles are congruent, and each angle measures
[180(n - 2)]/n
Set the measure of one angle equal to 140, and solve for n, the number of sides.
[180(n - 2)]/n = 140
180(n - 2) = 140n
180n - 360 = 140n
40n = 360
n = 9
The number of sides is 9.
Answer:
16
Step-by-step explanation:
OK, this might sound a bit confusing but I'll give it my best shot.
1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.
2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.
3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.
4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.
5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!