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trasher [3.6K]
3 years ago
14

Richelle drew a hexagon KLMNOP at the right. She thinks the hexagon has six congruent angles. How can she show that the angles a

re congruent without using a protractor to measure them?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

By using a ruler? If all six sides are the exact same size, they have all same angles.

Hope you get it!

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Given x^2 -4x+4 is a factor of the polynomial 2x^4 - 11x^3 +68x-80, completely factor the polynomial using algebraic methods.​
asambeis [7]
Answer:

2x^4-11x^3+68x-80

2x^4-4x^3-7x^3+14x^2-14x^2+28x+40x-80

2x^3(x-2)-7x^2(x-2)-14x(x-2)+40(x-2)

(x-2)(2x^3-7x^2-14x+40)

(x-2)(2x^3-4x^2-3x^2+6x-20x+40)

(x-2)(2x^2(x-2)-3x(x-2)-20(x-2))

(x-2)(x-2)(2x^3-3x-20)

(x-2)(x-2)(2x^2+5x-8x-20)

(x-2)(x-2)(x(2x+5)-4(2x+5))

(x-2)(x-2)(2x+5)(x-4)

(x-2)^2(2x+5)(x-4)
4 0
3 years ago
Write the point slope equation of the line through (7,-2) with slope of 1/2.
ahrayia [7]

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

4 0
3 years ago
Solve for x. Show each step of the solution. Show all work. 4.5(8-x)+36-2.5(3x+24)=102
sergejj [24]

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

-4.5x + 7.5x = 42 - 72

3x = - 30

x = -30/3

x = -10 <===

Hope this helps!

4 0
3 years ago
A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that
julsineya [31]

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

5 0
3 years ago
Factor the expression by finding the GCF. 16m2 − 12m
ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m  or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0
3 years ago
Read 2 more answers
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