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mamaluj [8]
3 years ago
7

Explain how polygon A is congruent to polygon B

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

polygon B is just polygon B flipped to the side

Step-by-step explanation:

polygon B is just polygon B flipped to the side

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Please solve 5 a only if you can....​
Stells [14]
<h3>Answer:  </h3><h3>Exact length: OP = 6*sqrt(2) centimeters</h3><h3>Approximate length: OP = 8.48528 centimeters</h3>

====================================================

Explanation:

Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.

Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.

Point F is the midpoint of CD. Segment OF is perpendicular to CD.

Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.

Use the pythagorean theorem to find that...

a^2+b^2 = c^2

(AE)^2 + (OE)^2 = (OA)^2

8^2 + (OE)^2 = 10^2

64 + (OE)^2 = 100

(OE)^2 = 100-64

(OE)^2 = 36

OE = sqrt(36)

OE = 6

--------------------

Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.

So, OE = OF = 6

Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6

Now focus on right triangle OEP. Use the pythagorean theorem again

a^2+b^2 = c^2

(OE)^2 + (EP)^2 = (OP)^2

(6)^2 + (6)^2 = (OP)^2

72 = (OP)^2

(OP)^2 = 72

OP = sqrt(72)

OP = sqrt(36*2)

OP = sqrt(36)*sqrt(2)

OP = 6*sqrt(2)

7 0
3 years ago
What is 30% off of 25??
Leto [7]

Answer:

7.5 = 8

Step-by-step explanation:

Step 1:

30/100=0.3

Step 2:

0.3 x 25 = 7.5

Round: 8

7 0
3 years ago
Read 2 more answers
What is the value of x?
Fudgin [204]

Answer:f

Step-by-step explanation:

G

6 0
3 years ago
What equation can be written from this sequence? -50, -33, -16, 1
Kaylis [27]
-50 + 17 = - 33
-33 + 17 = -16
- 16 +17 =1 

This is arithmetic sequence, where 1st term is -50,
and common difference is 17.
Formula for the term of arithmetic sequence 
a(n) = a(1) +d(n-1) = -50 +17(n-1) = -50 +17n - 17 = -67 +17n

So, we can write a formula
a(n) = -67 +17n

7 0
3 years ago
Solve by using the quadratic formula:<br> x2 - 6x + 7 = 0
IgorC [24]

Final Answer: x = 3 + \sqrt{2}, 3 - \sqrt{2}

Steps/Reasons/Explanation:

Question: Solve by using the quadratic formula:  x^{2}  - 6x + 7 = 0.

<u>Step 1</u>: Use the Quadratic Formula.

x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}

<u>Step 2</u>: Simplify solutions.

x = 3 + \sqrt{2}, 3 - \sqrt{2}

~I hope I helped you :)~ The quadratic formulaic is attached in an image.

8 0
3 years ago
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