9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The external angle is half the difference of the subtended arcs. The smaller arc is shown as 86°. The larger arc will be the difference between 360° and the two arcs shown.
larger arc = 360° -74° -86° = 200°
So, the external angle is ...
4x +13 = (200 -86)/2 = 57
4x = 44 . . . . . . . . . . . . subtract 13 from both sides
x = 11 . . . . . . . divide by 4
Answer:
26, 68 and 84
Step-by-step explanation:
Let the angle that is three times smaller than another be X.
Since the angle sum of a triangle is 180 degrees, we can form the following equation:
X + 3X + (3X- 16) = 180
Now we can simplify this equation:
7X - 16 = 180
7X = 196 (add 16 to both sides)
X = 196/7
X = 28
Therefore, the smallest angle is 28 degrees.
And from here we can figure out the other angles as they are 3x28 and 3x28 - 16.
So the three angles are 28 degrees, (3x28-16) 68 degrees, and (3x28) 84 degrees.
Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Sorry, but I generally respond to only 1 or 2 problems when someone gives me a long list of homework. It would take you just a little longer to post one problem at a time.
75 5 -375
Let's look at #5: 75 / (-1/5) is the same as -------- = 75 * ------ = --------- -1 -1 1
---
5
and this is equivalent to -375 (answer to #5)
Answer:
From left to right:
3, 30, 20
Step-by-step explanation:
Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:
yellow to red = 2 to 6 = 1 to 3
2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.
This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.
To go from yellow to red, do yellow X 3.
To go from red to yellow, do red ÷ 3.
Column 1:
1 X 3 = 3
Column 3:
10 X 3 = 30
Column 4:
60 ÷ 3 = 20
The ratios are:
1 to 3
2 to 6
10 to 30
20 to 60
