Here is how you solve this:
1) If a line bisects an angle, then both angles are equal (This means that angle OLN and angle OLM are equal).
2) If 2 angles of 2 triangles are equal, then the sides opposite of each angle are equal (This means that, since angle OLN and angle OLM are equal, side NO and side OM are equal).
3) If NO=OM, then OM=4.
The answer is x=4.
Answer:
4.3lb
Step-by-step explanation:
4.3lb is more precise out of the answer choices of 4lb and 4.3lb because 4.3lb is an exact weight whereas 4lb could be rounded.
Answer:
and 
Step-by-step explanation:
We are asked that what are the zeros of the quadratic function f(x) = 6x² +12x -7.
So, we have to find the roots of the equation, f(x) = 6x² +12x -7 =0 ...... (1)
Since the quadratic function can not be factorized, so we have to apply Sridhar Acharya's formula.
This formula gives if, ax² +bx +c =0, the the two roots of the equation are
Therefore, in our case 'a' being 6, 'b' being 12 and 'c' being -7, the two roots of the equation (1) will be
= 
= and
Hence, x=
and x=
(Answer)
<h3>
Answer: No, they do not form a proportion</h3>
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Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
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Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
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2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
What are the statements that you have that are to describe the expression?
