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3 years ago

PLEASE HELP, ANSWER BOTH OR CHOOSE ON TO ANSWER

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer:

d) angle 6 is alternate interior angle to angle 3

e) angle 2 is alternate exterior angle to angle 7

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Which ordered pairs in the form (x, y) are solutions to the equation?

hichkok12 [17]

(-6, -14) and (-1, -7)

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3 years ago

An arc subtends a central angle measuring \dfrac{3\pi}{5}

Diano4ka-milaya [45]

Answer:

3/10

Step-by-step explanation:

The central angle of the arc is $\frac{3 \pi}{5}$ .

The circumference of an arc of a circle is given as:

$C_a = \frac{\theta}{2 \pi} * C$

where C= circumference of the circle

θ = central angle of the arc

Therefore, the circumference of the arc is:

$C_a = \frac{\frac{3 \pi}{5} }{2 \pi} * C\\\\C_a = \frac{3 \pi}{10 \pi} * C\\\\C_a = \frac{3}{10}C$

The circumference of the arc will be 3/10 of the circumference of the circle.

8 0

3 years ago

What is the solution to ther equation 2(x-4)squared=50

galina1969 [7]

Answer:

x=9 x=-1

Step-by-step explanation:

2(x-4)^2=50

Divide each side by 2

2/2(x-4)^2=50/2

(x-4)^2=25

Take the square root of each side

sqrt((x-4)^2)=sqrt(25)

x-4 = ±5

x-4 =5 x-4 = -5

Add 4 to each side

x-4+4=5+4 x-4+4 = -5+4

6 0

3 years ago

The width of a rectangle is 9 inches more than 5 times the length. If x represents the length, write an algebraic expression in

larisa86 [58]

Answer:

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

Step-by-step explanation:

In order to solve this question we were given an expression that relates both dimensions of the rectangle. This expression in a mathematical form where "x" is the length and "y" is the width is shown bellow:

y = 9 + 5*x

The perimeter of a rectangle is given by:

perimeter = 2*length + 2*width

perimeter = 2*x + 2*(9+5*x)

perimeter = 2*x + 18 + 10*x

perimeter = 12*x + 18

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

6 0

4 years ago

In an exam, there is a problem that 60% of students know the correct answer. However, thereis 15% chance that a student picked t

SpyIntel [72]

Answer:

0.231

Step-by-step explanation:

Let the Probability of students that knew the correct answer be: P(A)

P(A) = 60% = 0.6

Let the Probability that the student picked the wrong answer even if he/she knows the right answer be: P(B)

P(B) = 15% =0.15

Let the Probability of the student that do not knew the correct answer Be P(C)

P(C) = 1 - P(A)

P(C) = 1 - 0.6

P(C) = 0.4

Let the Probability that the student does not know the right answer but guessed it correctly be: P(D)

P(D) = 25% = 0.25

Let the Probability that the student picked the right answer even if he/she knows the right answer be: P(E)

P(E) = 1 - P(B)

P(E) = 1 - 0.15

P(E) = 0.85

Probability that the student got the answer wrong = (0.60 X 0.15) + (0.40 X 0.75) = 0.39

P( Student knew answer given he answered wrong) = $\frac{P(Student knew answer) X P(Student answered wrong given he knew the answer}{0.39}$

= $\frac{0.6*0.15}{0.39}$

= $\frac{0.09}{0.39}$

= 0.23076923077

= 0.231

6 0

4 years ago