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ruslelena [56]
3 years ago
8

Rachel Newton scored 26 points in a recent basketball game without making any 3-point shots. She scored 19 times, making several

free throws worth 1 point each and several field goals worth two points each. How many 2-point field goals did she make?
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

She made 7  field goals

Step-by-step explanation:

With the data we can make 2 equations

1 x + 2 y= 26

x+y=19  and y=19-x

Where,

x= free throws

y=field goals

Replacing y in the first equation

1 x + 2 (19-x)= 26

1 x + 38-2x= 26

1 x - 2x= 26 - 38

- 1x= -12

x=12

y=19-12

y=7

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laiz [17]

The triangle's biggest angle's measurement in degrees is 97°.

What is a triangle?

  • A triangle is a polygon with three vertices and three sides. The angles of such a triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
  • All of the angles in an acute triangle are below 90 degrees.
  • Any angle in an obtuse triangle is larger than 90 degrees.
  • There is just one 90-degree angle in a right triangle.

Let a+b+c=180° with a < b < c

c-b=b-a\\c=2b-a | a=180-b-c\\c=2b-(180-b-c)\\c=2b-180+c+c | -c\\0=2b-180+b\\180=3b\\b=\frac{180}{3} \\b=60

Moving angle c of the triangle,

c=2b-a | a=23, b=60\\c=2(60)-23\\c=120-23\\c=97

The triangle's biggest angle's measurement in degrees is 97°.

Learn  more about triangles here:

brainly.com/question/25215131

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