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One angel of an isosceles triangle is 120 degrees. What is the measure of the other two angles

myrzilka [38]

Answer:

30 degrees

Step-by-step explanation:

180 - 120 = 60

60 / 2 = 30

Hope that helps!

5 0

2 years ago

Read 2 more answers

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

So

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

3 0

2 years ago

What is the value of x in the equation 3.5x+5.4=19.4

kipiarov [429]

Answer: x = 4

Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.

Since I hate working with decimals, I would get rid of them.

We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.

*Multiplying by 10 shifts the decimal point 1 place to the right

So we have 35x + 54 = 194 which looks a lot better.

Now subtract 54 from both sides to get 35x = 140.

Now divide both sides by 35 and x = 4.

4 0

1 year ago

Solve for all values of y in simplest form. ∣y−12∣=16

Reil [10]

Answer:

$y=-4; y=28$

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

$|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28$

5 0

1 year ago

solve, showing all work. state if there is one solution, no solution, or infinite solutions 2(2b-4)+5=7+2b help asap i need the

WINSTONCH [101]

Answer:

one solution

Step-by-step explanation:

2(2b-4)+5=7+2b

4b - 8 + 5 = 7 + 2b

4b -3 = 7 + 2b

4b - 2b = 7 + 3

2b = 10

b = 10/2

b = 5.

it can have only 5 as solution that will be only one solution if we change the value of 5 to other number then the answer will be wrong

4 0

2 years ago