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podryga [215]
3 years ago
12

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. if she completed 12 free throws, fi

nd how many free throws she attempted.
a. 3 free throwsc.21 free throwsb.7 free throwsd.4 free throws
Mathematics
2 answers:
Artemon [7]3 years ago
6 0
Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,                  
                    (4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices. 
svp [43]3 years ago
4 0

The correct answer is:

C. 21 free throws

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GEOMETRY PROOFS!
yarga [219]

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

<em>Additional</em><em> comment</em><em>:</em><em>-</em>

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

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4 0
2 years ago
Read 2 more answers
Zachary purchased a computer for 1800 on a payment plan. Three months after he purchased the computer, his balance was 1350. Fiv
zubka84 [21]

<u>Solution-</u>

Zachary purchased a computer for 1800 on a payment plan.  (Initial Money)

3 months after he bought the computer, his balance was 1350. (Money after 3 months)

Total money paid in 3 months = 1800-1350 = 450

Money paid per month = 450/3 = 150

5 months after he bought the computer, his balance was 1050.

Total spent = 1800-1050 = 750 = (5× 150)

So the equation that models the balance b after m months,

b = 1800 - m(150)

∴ Here, the slope signifies the constant monthly deduction of $150.


3 0
3 years ago
Write the answer with the correct number of significant digits. Don't use any commas in your answer. Only use a
lawyer [7]
386 x 21 = 8.106

I hope you got a good grade on your assignment!!! :D
3 0
2 years ago
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
butalik [34]

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

1) The length of the sides of the figure of the preimage and the image are congruent

Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

∠ABC ≅ ∠A'B'C'

3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

Therefore;

Segment AQ ≅ A'Q'.

4 0
3 years ago
What would prove that the two triangles are<br> congruent?
aniked [119]
The lines on the sides!
5 0
3 years ago
Read 2 more answers
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