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fiasKO [112]
2 years ago
7

I need help with this!

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
3 0

Answer:

angle j = 90

angle k = 29

angle L = 61

Step-by-step explanation:

180 = 90 + (4x-19) + (5x+1)

90 = 9x - 18

108 = 9x

x = 12

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Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
3 years ago
Pls help! need answer ASAP!!
yuradex [85]

Answer:

c because if you subtract

7 0
3 years ago
1) Jayden runs 1/4 of a mile in 1/4 of an hour. How far will it take him to run 1hr.
Masja [62]

Answer:

Question 1 : If you mean how many miles will he run in 1 hour then it is 1 Mile | Question 2 : 2 Miles

Step-by-step explanation:

Question 1 :

1/4 x 4 (because of the hour being split into fourths) = 1 Mile

Question 2 :

120 / 20 = 6, 6 x 1/3 = 6/3, simplified = 2

5 0
2 years ago
Opposite angles in parralelograms are?
kozerog [31]

Answer:

opposite angles in parralelograms are congruent

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the volume of a cube with 5 ft. edges.
pochemuha
5*5*5=125 <span>feet³
......
</span>
4 0
3 years ago
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