Answer:
12
Step-by-step explanation:
1. and
then by segment addition postulate
2. Consider triangles PQU and TSU. These triangles are similar by AA similarity theorem (triangles have congruent vertical angles PUQ and TUS and congruent alternate interior angles PQU and TSU). Similar triangles have proportional corresponding sides, so
3. Consider triangles QUV and QSR. These triangles are similar by AA similarity theorem. Similar triangles have proportional corresponding sides, so
so
Answer:
see below
Step-by-step explanation:
(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.
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(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)
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<em>About how</em>
As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.
Let's assume money in Josie's purse to begin with as 'x'
There are 18 markers
Each marker cost $1.20
so, we can find total cost of markers
Total cost of markers = ( total number of markers)*(price of each marker)
so, we can plug value
Total cost of markers is
$
now, we are given
Josie spent 4/7 of the money in her purse on some books
the rest of the money on 18 markers
so, rest money is
and this rest money is total cost of markers
so, we can set them equal and then we can solve for x
So, total money in Josie's purse in beginning is $50.4..........Answer