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Elina [12.6K]
3 years ago
14

Determine the slope (9,2) and (3,-8)

Mathematics
1 answer:
Oxana [17]3 years ago
7 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& 2~) 
%  (c,d)
&&(~ 3 &,& -8~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-2}{3-9}\implies \cfrac{-10}{-6}\implies \cfrac{5}{3}
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ABC is an isosceles triangle in which AC =BC.
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Given:

ABC is an isosceles triangle in which AC =BC.

D and E are points on BC and AC such that CE=CD.

To prove:

Triangle ACD and BCE are congruent​.

Solution:

In triangle ACD and BCE,

AC=BC                  (Given)

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\angle C\cong m\angle C                  (Common angle)

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Harry solves the equation 1/3t = 15. He says the solution is 30. Is his answer correct? Fill in the blanks to explain how Harry
aksik [14]

Harry can first substitute 30 for t

He can then multiply \frac{1}{3} by 30 to get a product of 10

Since, 10 is not equal to 15, Harry's solution is not correct.

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

Given that,

Harry solves the equation:

\frac{1}{3}t = 15

He says the solution is 30

We have to check if his answer is correct or not

<em><u>Fill in the blanks to explain how Harry can check whether his solution is correct</u></em>

Harry can first substitute 30 for t

\frac{1}{3} \times 30 = 15

He can then multiply \frac{1}{3} by 30 to get a product of 10

10\neq 15

Since, 10 is not equal to 15, Harry's solution is not correct

<em><u>Correct solution:</u></em>

\frac{1}{3}t = 15\\\\t = 15 \times 3\\\\t = 45

Thus correct solution is 45

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