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Zigmanuir [339]
3 years ago
8

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary

Mathematics
1 answer:
k0ka [10]3 years ago
4 0
Hello,

very simple they intercept supplementary arcs. (making a sum of 360°/2 for inscribed angles )
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What is the perimeter of parallelogram HIJK? Round to the nearest hundredth.
bixtya [17]

Answer:

Perimeter of the parallelogram = 26.64 units

Step-by-step explanation:

The perimeter of parallelogram = 2(a + b)

Here a = KJ = 7 units.

b = HK

We need to find the HK using the distance formula.

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

H = (-4, 3) and k = (-2, -3)

Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula

HK = \sqrt{(-2 -(-4))^2 + (-3 - 3)^2}

= \sqrt{(-2 +4)^2 + (-6)^2}

= \sqrt{4 + 36}

= \sqrt{40}

HK = b = 6.32 units

Now plug in a = 7 and b = 6.32 in the perimeter formula, we get

Perimeter = 2(7 + 6.32)

= 2(13.32)

= 26.64 units

Thank you.

6 0
3 years ago
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
Read 2 more answers
Which shows the products ordered from least to greatest?
goblinko [34]

Answer:

101 divide by 102 multiply by 564

5 0
2 years ago
Please help meeeeeeeeeeesssssssssssss
Dafna1 [17]

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

8 0
3 years ago
What is the sum of the measures of the interior angles of this heptagon? A 7-sided figure. 720 degrees 900 degrees 1,080 degrees
NeTakaya

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

8 0
3 years ago
Read 2 more answers
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