Answer:
Step-by-step explanation:
The supplement of 102 = 180 - 102 = 78
It is the interior angle of the given exterior angle.
It is also the enclosed angle of the isosceles triangle
Each of the other two angles = y
180 = 2*y + 78 Subtract 78 from both sides
180 - 78 = 2y Combine
102 = 2y Divide by 2
102 / 2 = y
51 = y
The smaller triangle on your right has 2 equal sides that are marked.
The angle you just found = <2 and the vertically opposite angle of the 51
So <2 = 51
Answer:
$24
Step-by-step explanation:
20-32= 12 12x2= 24 so her weekly allowance is $24
13: Since f(1)=10, the sequence must start with 10. We have only one sequence starting with 10, and indeed it verifies f(n+1)=f(n)-2, i.e. the next term is 2 less than the previous one.
14: If y varies directly with x, then there is a constant of variation k such that
In your case, F varies directly with m, with a constant of variation of 32.2, so we have
Answer:
1089525
Step-by-step explanation:
2985 is per day of bulbs and a year has 365 days
so we multiply bulbs by day and days in a year
which will give us 1089525
Answer:
<h3>length = 28 cm</h3><h3>width = 12 cm</h3>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 80cm
The length is 4 inches longer than twice the width is written as
l = 4 + 2w
Substitute this into the formula and solve for the width
That's
80 = 2( 4 + 2w) + 2w
80 = 8 + 4w + 2w
6w = 80 - 8
6w = 72
Divide both sides by 6
w = 12 cm
Substitute w = 12 cm into l = 4 + 2w
That's
l = 4 + 2(12)
l = 4 + 24
l = 28cm
Therefore
length = 28 cm
width = 12 cm
Hope this helps you
