Answer:
I'm really sorry I can't tell you the answer because you have to measure the angle by yourself using a protractor. But I gave you information about types of angles if you got the degree of angles ( e.g 90 degrees). Hope it helped.
Step-by-step explanation:
acute angle-an angle between 0 and 90 degrees
right angle-an 90 degree angle
obtuse angle-an angle between 90 and 180 degrees
straight angle-a 180 degree angle
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.
8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.
1/3 * 8/8 = 8/24
3/8 * 3/3 = 9/24
There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.
Hope that helped.
Answer:
The length of the segment AB is 18.8 cm or 1.88 dm
Step-by-step explanation:
<u><em>The question in English is</em></u>
Points A, B and C are collinear in this order. Find the length of the segment: a) AB, if AC = 20 cm, BC = 0.12 dm
we have that
----> by Addition segment postulate
substitute the given values in centimeters
Remember that
so
solve for AB
Convert to dm
therefore
The length of the segment AB is 18.8 cm or 1.88 dm
Sum/difference:
Let
This means that
Now, assume that 
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
Answer:
x = 1.5
y = 3
Step-by-step explanation:
to solve this system of equation using the substitution methods we say let
2x+3y=12................................... equation 1
y=x+1.5..................................... equation 2
substitute equation 2 into equation 1
2x+3y=12................................... equation 1
2x + 3( x + 1.5) = 12
2x + 3x + 4.5 = 12
5x + 4.5 = 12
collect the like terms
5x = 12 - 4.5
5x = 7.5
divide both sides by the coefficient of x which is 5
5x/5 = 7.5/5
x = 1.5
put x = 1.5 into equation 2
y=x+1.5..................................... equation 2
y = 1.5 + 1.5
y = 3
therefore the value of x = 1.5 and y = 3 respectively.
