Answer:
a = 133 degrees
b = 78 degrees
Step-by-step explanation:
the top and bottom lines are parallel.
the two sidelines are lines that intercept the top and bottom lines.
as they intercept parallel lines, they actually must have the same angles with them.
so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.
the sum of inward and outward angles at a point must always be 180 degrees.
so, the outward angle of 47 = the inward angle a =
= 180 - 47 = 133 degrees.
similar in the other side.
102 is the inward angle.
the outward angle of that is 180 - 102 = 78 degrees.
and that is also the inward angle b.
b = 78 degrees
We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.
- = (3)^2 - (4x)^2
- 9 - 16x^2
<u>Answer</u><u>:</u>
<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>
Hope you could understand.
If you have any query, feel free to ask
Answer:
3 and 7
Step-by-step explanation:
The mode of a set is the number that appears the most frequently. There can be multiple modes in a set. Looking at the given set, we see that the numbers that show up the most are 3 and 7 so that is our answer.
Answer:
Length of the garden = 10 ft
Step-by-step explanation:
Perimeter of a garden = 2(length + width)
Perimeter of the garden = 32 ft
Width of the garden = 6 ft
Length of the garden = x ft
Perimeter of a garden = 2(length + width)
32 = 2 ( x + 6 )
Open parenthesis
32 = 2x + 12
Subtract 12 from both sides
32 - 12 = 2x + 12 - 12
20 = 2x
Divide both sides by 2
20 / 2 = 2x / 2
10 = x
x = 10 ft
Therefore, length of the garden = x = 10 ft
