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Snowcat [4.5K]
3 years ago
8

Input Output Table 2 Input Output 12 19 13 20 14 ? 15 22 16 23 Which rule describes the relationship between the input/output va

lues shown on the table? Which number completes the table?
Mathematics
1 answer:
Paha777 [63]3 years ago
5 0
Each output has a value of 3 more than its input.

an = a(n-1) + 3

Missing number is 14 + 3  = 17.
You might be interested in
S KM ∥ JN? Why or why not?
bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


4 0
3 years ago
Read 2 more answers
4 1/8 take away 2 3/4​
Rudiy27

Answer:

1.375

Step-by-step explanation:

6 0
3 years ago
How many times larger is 2000 than 2
Snowcat [4.5K]
2000 is 1000 times larger than 2
7 0
3 years ago
Read 2 more answers
Given the center and radius of a circle, write the equation of the circle.
Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k)</em> is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

5 0
3 years ago
4. JKLM is a parallelogram. Find JM.<br> J<br> к<br> 8x + 4<br> 4x + 20<br> M<br> L
madam [21]

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20

8x - 4x = 20 - 4

4x = 16 divide both sides by 4

x = 4 and JM = 8x + 4 replace x with 4

8×4 + 4 = 36

6 0
3 years ago
Read 2 more answers
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