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3 years ago

Prove that a cyclic parallelogram is a rectangle.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

4 0

Answer:

Step-by-step explanation:

let ABCD be cyclic parallelogram.

Then ∠A=∠C

as it is cyclic so ∠A+∠C=180

∠C+∠C=180

2∠ C=180

∠C=90

So ∠A=90

similarly ∠B=∠D=90

so it is a rectangle.

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5x+3y=3 slope intercept form: slope of the line: y-intercept of the line:

siniylev [52]

Answer:y=-5/3x+1

-5/3

Step-by-step explanation:you move the 5x to the right making the equation 3y=-5x + 3, then you divide everything by 3. You then find the other info by knowing y=mx+b which means m=slope and b = y intercept

4 0

2 years ago

O A box contains 40 oranges, 12 of which are

konstantin123 [22]

Step-by-step explanation:

Nø of sample space, n(s) = 40

nø of unripe oranges, n (u) = 12

no of ripe oranges, n (r) = 40 - 12 = 28

Now

The probability that it is ripe is, P(E)

= n(r) / n(s)

= 28 / 40

= 7 / 10

Also the probability that it is unripe is, P(E)

= n(u) / n(s)

= 12 / 40

= 3 / 10

Hope it will help :)❤

5 0

2 years ago

PLZZZZ help as soon as possible

sammy [17]

Answer:

JK = 11

Step-by-step explanation:

JK ≅ JM

where

JK = 3x - 16

JM = 2x - 7

3x - 16 = 2x - 7

group like terms

3x - 2x = 16 - 7

x = 9

plugin x=9 into JK

JK = 3x - 16

JK = 3(9) - 16

JK = 11

6 0

3 years ago

Read 2 more answers

Suppose that the function g is defined, for all real numbers, as follows.

svetoff [14.1K]

Answer:

a) g(-2) = 0

b) g(-1) =1

c) g(4) = 2

Step-by-step explanation:

Given data

$g(x) = \frac{-1}{4x+1} if x < -2$

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

$g(x) = 2 if x >2$

Step( i ):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

put x = -2

$g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0$

g(-2) = 0

Step(ii):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

Put x = -1

$g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1$

g(-1) =1

Step(iii):-

$g(x) = 2 if x >2$

g(4) = 2

7 0

3 years ago

What is 5✓28 +✓63 In simplest radical form I need it asap.

Ksenya-84 [330]

Answer:

13✓7

Step-by-step explanation:

5✓28 + ✓63

Break the radical into perfect squares.

5 times ✓4 times ✓7 + ✓9 times ✓7

5 times 2 times ✓7 + 3 ✓7

10✓7 + 3✓7

13✓7

5 0

3 years ago