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Stels [109]
3 years ago
7

If x − 2 = 1/3, then what is the value of x^2 − 4x + 4? Select one: A. 1/12 B. 1/9 C. 3 D. 9

Mathematics
2 answers:
ivanzaharov [21]3 years ago
5 0
Your answer would be b
amm18123 years ago
3 0

Solve for x in the first equation:

X -2 = 1/3

Add 2 to both sides:

X = 2 1/3

Now replace x in the second equation:

2 1/3 ^2 - 4(2 1/3) + 4

5 4/9 - 9 1/3 + 4 = 1/9

Answer is B.

You might be interested in
In ΔLMN, \overline{LN}
Karolina [17]

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

5 0
3 years ago
The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.
alina1380 [7]
P= 27 \ cm^2 \\ \\P=\frac{1}{2} e * f \\ \\ f =3x , \ e = 2x \\ \\27=\frac{1}{2}*2*3x \\ \\27=3x/:3

x=3 \\ \\ f =3x =3 *3= 9 \ cm \\ \\ \ e = 2x = 2*3 = 6cm



6 0
3 years ago
What is another name for the height of a pyramid?
Lyrx [107]
Answer c

Another name for the height of a pyramid is the altitude of the pyramid.
6 0
3 years ago
What’s the correct answer for this?
Deffense [45]

Answer:

The first option

Step-by-step explanation:

In the image, we can notice that NQ is longer than PQ, similar to how JH is longer than NJ. Thus, NQ must be aligned with JH and PQ with JN. As PN and HN are clearly the longest for each triangle, those must be aligned as well.

All of the responses have NP and NH aligned.

The last response does not have NQ aligned with JH.

The second and third do not align PQ and JN.

The first option is our answer.

6 0
3 years ago
How do yo slove the problem
maksim [4K]
4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3

Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3

In short, Your Answer would be a = 2√3 and b = 4√3

Hope this helps!
6 0
3 years ago
Read 2 more answers
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