Answer:
A acute
Step-by-step explanation:
cause an acute it between 0-90 degrees
The number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
Given an inequality 3(8-4x)<6(x-5).
We have to find the solution set for the given inequality.
<h3>What is inequality?</h3>
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
⇒ 24-12x<6x-30
⇒ 24+30<6x+12x
⇒ 54<18x
⇒ x>54/18
⇒ x>3
Hence, the number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
That is starting from 3 and goes up to infinity.
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Answer:
166degrees
Step-by-step explanation:
Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc
Angle at the vertex <MNO = 83degrees
Angle at the arc = m<MLO
According to the theorem
83 = 1/2(m<MLO)
m<MLO = 83 * 2
m<MLO = 166degrees
Hence the measure of angle MLO is 166degrees
Well first you find the area of your basic rectangle with equation:
area (a) = length (L) * width (w)
So we got:
a = L * w
Now we find the area of a new rectangle with quadruple side lengths than our (a) rectangle and im going to call this area A:
A = 4L * 4w or A = 4 (L * w)
we want to see how the ratio of A to a or A/a so we can set both equations equal to 1 by dividing the areas to both sides of their respective equations:
1 = (L * w) / a and
1= 4(L * w) / A
since they both equal 1 then the equations have to equal each other:
(L * w) / a = [4 (L * w) / A
cross multiply
A *(L * w) = a *[4 (L * w)]
divide both sides by (L * w)
A = 4a
as you can see by quadrupling the sides by 4, this small rectangles area would also increase by a factor of four
The answer to this question is 5x3-3x2-5x+3
