Answer:
Step-by-step explanation:
Find the unit rate for this painting:
3/5 of wall surface 3/5 15 9
------------------------------- = --------------- * --------- = -----------
(8/15) hour 8/15 15 8
Jane could actually paint the whole wall plus 1/8 more of it in one hour.
Yes for the first one, yes for the second one, and yes for the third one although your subtraction equation had the wrong year (its not 1847 its 1846) but the answer was right, 65.
Supplementary angles add to equal 180 degrees. If two angles are supplements of each other and one of the angles measures 62 degrees, you can set its sum with the unknown angle, x, equal to 180 and solve for the unknown angle x.
Equation:
180 = x + 62
Subtract 62 from both sides:
118 = x
Answer:
The measure of the other angle is 118°.
Answers:
y = 50
angle AOB = 100
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Explanation:
Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.
Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.
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Point O is the center of the circle. This is because "circle O" is named by its center point.
Angle AOB is considered a central angle as its vertex point is the center of the circle.
Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.
This is the inscribed angle theorem.
Using this theorem, we can say the following
central angle = 2*(inscribed angle)
angle AOB = 2*(angle x)
angle AOB = 2*50
angle AOB = 100 degrees
Answer:
Step(iii)
The value of 'f' = 3
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given - 12 = 4(f-6)
Multiply
- 12 = 4 f - 24
<u><em>Step(ii):-</em></u>
- 12 = 4 f - 24
Adding '12' on both sides, we get
- 12 + 12 = 4 f - 24 + 12
0 = 4 f - 12
4f - 12 =0
4 f = 12
<u><em>Step(iii):</em></u>-
Dividing '4' on both sides, we get
f = 3
