Answer:
A) x=9/2 B) x=-1/5, 1/2
Step-by-step explanation:
3x-9=27/1-5x
3x-9=27-5x
3x-(-5x)-9=27
3x+5x-9=27
8x-9=27
8x=27+9
8x=36
x=36/8
simplify
x=9/2
Answer: x=9/2
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10x-1/x=3
(10x^2-1)/x=3
10x^2-1=3*x
10x^2-1=3x
10x^2-3x-1=0
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -1 in this case.
When you add those 2 numbers, you get the second term,
which is -3 in this case.
(5x+1)(2x-1)=0
apply the zero property from here,
set 5x+1=0 and 2x-1=0 and solve for x.
5x=0-1=-1, x=-1/5,
2x=0+1=1, 2x=1, x=1/2.
So x=-1/5, 1/2.
I hope this helps you
tgH=HJ/HK
angle H+angle K=90
H=K=45 degree
sin45=cos46 = square root of 2/2
Answer:
$0.5
Step-by-step explanation:
Given data
Cost of 5 pencils= $2.50
Required
The cost per pencil
The cost per pencil is
Cost of 5 pencils divided by 5
=2.5/5
=$0.5
This is the constant of proportionality
For any number of pencils x
The cost is
Cost =0.5x
Hence the cost of one pencil is $0.5
Draw a triangle on your paper and extend the base of the triangle so it extends past the base angle. The base angle inside the triangle is the interior angle and the one outside the triangle between the extended line and the outside of the interior angle is the exterior angle. A straight line has a measure of 180 degrees. That means that the interior angle + the exterior angle = 180. So they are supplementary by definition of supplementary angles. A is the only choice above that applies.
The answer is 1 3/4 pounds. If you convert 1/2 into fourths it would be 2/4, If you add 1/4+2/4=3/4. After that, you add the whole.
