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lina2011 [118]
3 years ago
8

In parallelogram LMNP if PQ=21 find QM.

Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

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What's the sum of 7/16 7/12 7/8 1 1/6??
Neporo4naja [7]
Make all fractions with a 48 denominator:
21/48 + 28/48 + 42/48 + 88/48
=179/48 = 3 (35/48)

5 0
3 years ago
DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.
jonny [76]
Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.

Given that </span><span>DG = 5 cm and BD = 12 cm, then

BG= \sqrt{DG^2+BD^2}  \\  \\ = \sqrt{5^2+12^2} = \sqrt{25+144}  \\  \\ = \sqrt{169} =13

Since AG = BG = CG, therefore, CG = 13 cm.</span>
3 0
3 years ago
An amusement park has discovered that the brace that provides stability to the ferris
antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}

We now convert the angle to radian  

\theta = \frac{70.625}{\pi}  \times \frac{\pi}{180}\\\\\theta = 0.39236 radian  

Now we calculate the length of arc by arc formula  

\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I  = 4.708 feet.  

So, The length of steel that must be replaced is 4.708 ft.  

4 0
3 years ago
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
NNADVOKAT [17]

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

6 0
3 years ago
Read 2 more answers
1. Kalena was asked to prove ifx(x - 1)(x + 1) = x3 - X represents a polynomial identity. She
Verdich [7]

Answer:

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

6 0
3 years ago
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