The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>
- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
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Answer:
Step-by-step explanation:
Ally gives her sister = 1/5 stickers
Ally gives her cousin = 1/5 of the remainder stickers
Assume Number of sticker Ali has = 1
Remainder after giving stickers to her sister = 1 - 1/5 = 4/5
Number of stickers she gave her sister = 
=
Sticker she has = 
=
=
Sticker left with Ally is equal to .
Answer:
8/15 left
Step-by-step explanation:
Given data
We want to perform subtraction operation on fractions
Total number of water= 5/6
we are told that 3/10 are for other runners
Hence the number of water left is
=5/6-3/10
=50-18/60
=32/60
=8/15
Hence there are 8/15 left
Answer:
Below.
Step-by-step explanation:
f(x)=3x^2-6x-45/x^2-5x
= 3x^2-6x-45 / (x(x - 5))
The denominator is zero when x - 0 and x = 5.
So there will be a vertical asymptote at x = 0 and a hole at x = 5.
If we do the division we get f(x) = 3 remainder 9x - 45
so there will also be a horizontal asymptote where x = 3.
