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Flauer [41]
3 years ago
5

A basketball player scored 13 times during one game. She scored a total of 22 ​points, two for each​ two-point shot and one for

each free throw. How many​ two-point shots did she ​make? How many free​ throws?
Mathematics
2 answers:
VikaD [51]3 years ago
8 0
X=number of 2 point
y=number of 1 points

total is 13 times so
x+y=13

and total of 22 points
2x+1y=22

so we got
x+y=13
2x+y=22
multiply first equation by -1 and ad to 2nd

-x-y=-13
<u>2x+y=22 +</u>
1x+0y=9

x=9

so
x+y=13
9+y=13
minus 9
y=4

9 of the 2 pointers and 4 free throws
IceJOKER [234]3 years ago
5 0

9 two-point shots

4 free throws

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BARSIC [14]

Step-by-step explanation:

if you're looking for x

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3 years ago
If mRS=x then write an equation that could be used to solve for x and find the value of x
Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0
3 years ago
Rasida ran 5 more miles than 2 times the number of miles Diallo ran this week. Rasida ran 27 miles this week.
Sholpan [36]

Answer:

11

Step-by-step explanation:

Rasida ran 27 miles total.  she ran 5 more miles than double what Diallo ran.

27-5=22

Now divide 22 by 2 to get how many miles Diallo ran.

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3 years ago
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