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Mamont248 [21]
3 years ago
5

What are three collinear points on line I? K I D G B F C A M

Mathematics
1 answer:
Alchen [17]3 years ago
5 0
B. points a, f, and g
You might be interested in
find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches
MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

l =  \frac{ \theta}{360 \degree}  \times 2\pi \: r \\  \\  \therefore \: 14\pi = \frac{ \theta}{360 \degree}  \times 2\pi \:  \times 18 \\  \\ \therefore \:\theta =  \frac{14\pi \times \: 360 \degree }{2\pi \:  \times 18} \\  \\ \therefore \:\theta =  \frac{7 \times \: 360 \degree }{18}  \\  \\ \therefore \:\theta =  7 \times \: 20 \degree \\  \\  \huge \red{ \boxed{\therefore \:\theta =  140 \degree}}

Thus, the measure of central angle is 140°.

7 0
3 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
A 26' long painting is how many yards long
yaroslaw [1]
Three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.
6 0
3 years ago
A computer store has certain software on sale at 3 for $20.00, with a limit of 3 at the sale price. Additional
alexgriva [62]

Answer:

a) y = 9.95(x-3) + 20.00

b) Cost of 5 software packages = $39.90

Step-by-step explanation:

Given that:

Cost of 3 software at sale = $20

Cost of regular = $9.95

Let,

x be the number of software purchased.

We will subtract 3 from x because they cost $20.

y be the total cost.

y = 9.95(x-3)+ 20.00

Putting x=5 in expression

y = 9.95(5-3) + 20.00

y = 2(9.95) + 20.00

y = 19.90 + 20.00

y = $39.90

Hence,

a) y = 9.95(x-3) + 20.00

b) Cost of 5 software packages = $39.90

7 0
3 years ago
Quently As
Anna71 [15]

Answer:

A) 18.3

Step-by-step explanation:

Since adding b and a gives 19.

c must be less than 19.

So, A) 18.3 is the correct answer

5 0
3 years ago
Read 2 more answers
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