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laiz [17]
3 years ago
12

50 POINTS!

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

the error in this flowchart is:second one.

<u>Point L is equidistant from endpoints J and K, not J and N.</u>

Answer:

Solution given:

LM which is a perpendicular bisector of segment JK,

it means JN=JK

o JL and KL are equal in length, according to the definition of a midpoint.

True

O Point L is equidistant from endpoints J and K, not J and N.<u>False</u><u>.</u>

O The arrow between ∆JNL ∆KNL and JL≈ Kl points in the wrong direction.True

O An arrow is missing between the given statement and <LNK ≈<LNJ.True

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The perimeter of a quadrilateral (four-sides polygon) is 50 inches. The longest side is three times as long as the shortest side
kkurt [141]

The side lengths of quadrilateral are 21 inches; 11 inches; 11 inches; 7 inches.

<u>SOLUTION:</u>

Given, the perimeter of a quadrilateral (four-side polygon) is 50 inches.  

Let the length of shortest side be n inches.  The longest side is three times as long as the shortest side.  

That is, length of largest side = 3n inches

The other two sides are equally long and are 4 inches longer than the shortest side.  

Then, length of remaining two sides = 4 + n inches  

We have to find the length of all four sides.

Now, we know that, perimeter = 50 inches  

\begin{array}{l}{\rightarrow \text { Sum of all sides }=50} \\\\ {\rightarrow n+3 n+n+4+n+4=50} \\\\ {\rightarrow n+3 n+n+n=50-4-4} \\\\ {\rightarrow 6 n=42} \\\\ {\rightarrow n=7}\end{array}

So, length of sides will be,

7 \text { inches; } 3\times7=21 \text { inches; } 7+4=11 \text { inches; } 7+4=11 \text { inches. }

6 0
4 years ago
The partial factorization of x2 – x – 12 is modeled with algebra tiles.
garik1379 [7]

Answer:

x² – x – 12 = (x – 4)(x + 3)

Step-by-step explanation:

Identify two numbers that add to -1 and multiply to -12, let's call them p and q.

So ax² + bx + c = (x + p)(x + q)

pq = c

p + q = b.

It is easier to find these numbers by finding factors of -12.

This can be done by splitting the number up until all the numbers are prime.

-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)

There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.

We can eliminate them by adding them up.

6 + -2 = 4 ≠ -1 so that can't be it.

-6 + 2 = -4 ≠ -1 so that can't be it either.

-3 + 4 = 1 ≠ -1

therefore p and q are 3 and -4 because 3 + -4 = -1.

so x² – x – 12 = (x – 4)(x + 3)

p = -4, and q = 3.

(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12

7 0
3 years ago
Please help! Solve for a.
Marat540 [252]
What am I solving? Like what is the question?
3 0
3 years ago
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Harlamova29_29 [7]
3 > 14
? > 10
Cross Multiply
? = 30/14
Area of the rectange = height x width = 3 x (30/14) = <span>6.42857142857</span>
6 0
4 years ago
When the polynomial in P(x) is divided by (x - a), the remainder equals P(a).
viva [34]

Answer:

I'm pretty sure the answer is false.

3 0
3 years ago
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