Answer: 
Step-by-step explanation:
All radii of a circle are congruent, so by the base angles theorem
Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
Answer:
22 oranges
Step-by-step explanation:
$15 --- 66 oranges
$5 ---
× 66 oranges = 22 oranges
Answer:
see explanation
Step-by-step explanation:
4
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( substitute in values )
=
( cross- multiply )
12(x - 1) = 72 ( divide both sides by 12 )
x - 1 = 6 ( add 1 to both sides )
x = 7
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5
The parallel line segment SV is half of RW
that is x = 7.5
SV also divides the sides RT and WT in proportion, that is
=
( cross- multiply )
10y = 24 ( divide both sides by 10 )
y = 2.4
Answer:
6/31
Step-by-step explanation:
4 1/3 ➡ 13/3
5 1/6 ➡ 31/6
to divide two rational expression you should turn the second number upside-down(finding its reciprocal) then multiply them :
13/3 × 6/31 = 26/31