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lilavasa [31]
3 years ago
8

Which is a correct two column proof. Given <4 and

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

The initial statement is:    QS = SU   (1)

                                    QR = TU    (2)

 

We have to probe that:  RS = ST

 

 

Take the expression (1):                     QS       =   SU

We multiply both sides by R                (QS)R   =   (SU)R

 

 

But    (QS)R = S(QR)     Then:            S(QR)   =   (SU)R     (3)

 

From the expression (2):  QR = TU. Then, substituting it in to expression (3):

 

                                                       S(TU)   =   (SU)R     (4)

 

But  S(TU) = (ST)U  and (SU)R = (RS)U

 

Then, the expression (4) can be re-written as:

 

                                                      (ST)U    =    (RS)U

 

Eliminating U from both sides you have:     (ST) = (RS)    The proof is done.

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guajiro [1.7K]
J+M=T/7

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3 years ago
Look at the cups shown below (please note images are not drawn to scale):
Andrews [41]

Cup A

<em><u>Formula</u></em>

V = 1/3 pi r^2 h

<em><u>Givens</u></em>

r = d/2 = 2/2 = 1 inch

pi = 3.14

h = 4 inches

<em><u>Solution</u></em>

V = 1/3 * 3.14 * 1^2 * 4

V = 4.187

Cup B

<em><u>Formula</u></em>

V = pi * r^2 * h

<em><u>Givens</u></em>

pi = 3.14

r = d/2 = 2/2 = 1

h = 6

<em><u>Solution</u></em>

V = pi * r^2 * h

V = 3.14 * 1^2 * 6

V = 18.84

<em><u>Answer</u></em>

VB - VA = 18.84 cu in - 4.187 = 14.65 = 14.7 Rounded.

Answer C

4 0
3 years ago
Given the function f(x) = -5x^2 + 2x + 9 find f(1) and f(2)
tigry1 [53]

Answer:

<u><em>i hope it will work</em></u>

Step-by-step explanation:

f(x) = -5 x^2 + 2 x + 9

f(1)=-5(1)^2 +2(1) +9 = 6

similarly

f(2)=-5(2)^2 +2(2) +9  = -7

if its help-full then hit the stars and brain-list it

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Answer:

b. To increase the accuracy of the research and prevent skewness in the idea.

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Random assignment ensures that any difference between groups recorded at the end of an experiment can be attributed to the experimental procedures. It refers to how you arrange the participants into required groups (different treatment and control groups). In the case of non-random assignment, the two major problems are generalisation of results and bias, which could lead to skewness in the idea of the experiment.

One of the importance of random assignment in this given experiment is to increase the accuracy of the research and prevent skewness in the idea.

3 0
4 years ago
What is ten times as great as 450?
lesantik [10]

Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

6 0
3 years ago
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