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2 years ago

Write an equation for the following situation: A student reads 65 pages per hour.

1 answer:

8 0

Answer: 65h
Explanation: if the student read 65 pages per house you would multiply the hours read by 65 to determine the number of pages read :)

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Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?

Kruka [31]

Answer:

The angles formed on line b when cut by the transversal are congruent with ∠2 are $\angle{6}\text{ and }\angle{7}$

Step-by-step explanation:

Consider the provided information.

If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .

The angles on the same corners are called corresponding angle.

Alternate Angles: Angles that are in opposite positions relative to a transversal intersecting two lines.

∠2 and ∠6 are corresponding angles

Therefore, ∠2 = ∠6

∠2 and ∠7 are alternate exterior angles

Therefore, ∠2 = ∠7

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are $\angle{6}\text{ and }\angle{7}$

3 0

3 years ago

Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.

Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0

3 years ago

10A. A triangle has side lengths of 10 centimeters, 24 centimeters and 28

tekilochka [14]

Answer:

Step-by-step explanation:

10² + 24² ≠ 28²

6 0

2 years ago

Solve 2^x^2+5x=1/16 without using logarithms. <br> quick plz 15 points

Marianna [84]

Answer:

x=-4, x=-1

Step-by-step explanation:

6 0

3 years ago

Please i need help with this rn

larisa86 [58]

Hi there!

$\large\boxed{f(9) = 12}$

Evaluating f(x) at x = 9 means we must use the piecewise function where x = 9 is included.

f(x) = 12 includes 9 because a "≤" is inclusive of the interval. Thus:

f(9) = 12

3 0

3 years ago