The cost of three notebooks and four pencils is $7.20. the cost of five notebooks and eight pencils is $13.20. write a system of equations to model this situation. how much does one pencil and one notebook cost?

Notebook cost = $1.2

Pencil cost = $ 0.9

Step-by-step explanation:

Call x at the cost of each notebook and call z at the cost of each pencil.

So we know that 3x added with 4z equals $ 7.20

So:

   (i)

We also know that 5x and 8z = $13.20

Then:

   (ii)

Finally we have a system of 2 equations (i), (ii) and two unknowns x and z.

Then we can solve the system by doing:

-2(i) + (ii)

We have left:

       +

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Now we substitute the value of x in equation (i) and clear z.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq