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antoniya [11.8K]
3 years ago
6

Giving brainliest! Please show the working out

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

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Ivan draws PQR on the coordinate plane.
Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0
3 years ago
a rectangle has a perimeter of 22 feet. the width is 5 feet less than the length. find the length and width of the rectangle​
alexira [117]

Answer:

the length is 8ft

the width is 3ft

Step-by-step explanation:

Step one:

given

perimter= 22ft

let the length be x

width = x-5

Step two

the expression for the perimeter of a rectangle is

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substituting our data

22= 2(x)+2(x-5)

open brackets

22=2x+2x-10

collect terms and solve for x

22+10=4x

32=4x

divide both sides by 4

x= 32/4

x= 8ft

the length is 8ft

the width = x-5= 8-5= 3ft

8 0
3 years ago
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nata0808 [166]
(85 + 84 + 78 + x) / 4 = 86
(247 + x) / 4 = 86
247 + x = 86 * 4
247 + x = 344
x = 344 - 247
x = 97 <=== her score was 97
7 0
3 years ago
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2 years ago
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