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4 years ago

Write a paragraph proof.

Mathematics

1 answer:

worty [1.4K]4 years ago

8 0

It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.

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Monique randomly surveyed 30 students from

Naily [24]

Answer:

522

Step-by-step explanation:

Find the percent of students in her class that have a dog or cat:

Set up a proportion: $\frac{18}{30} = \frac{x}{100}$
Cross multiply, then divide: 18 × 100 = 1800, 1800 ÷ 30 = 60
So, 60% have a dog or cat

Find 60% of the total amount of students in Monique's school:

60% of 870 = $\frac{60}{100}$ × $\frac{870}{1}$
$\frac{60}{100}$ × $\frac{870}{1} = \frac{52200}{100}$
$\frac{52200}{100} = \frac{522}{1} = 522$

I hope this helps!

8 0

3 years ago

Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️

Ivan

Always happy to help!! Thank you so much- I hope you have an amazing rest of your night and an amazing rest of your break!

8 0

3 years ago

Ex 4.8 14) integrate 3^(2x-1)

sesenic [268]

Take the integral:

$\large\begin{array}{l} \mathsf{\displaystyle\int\!3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\int\!\frac{1}{2}\cdot 2\cdot 3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^{2x-1}\cdot 2\,dx\qquad(i)} \end{array}$

$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154165

$\large\textsf{I hope it helps. :-)}$


Tags: integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

4 0

3 years ago

Suppose that 10 years ago you bought a home for $130,000 paying 10% as a down payment, and financing the rest at 9% interest for

12345 [234]

Answer:

13,000

Step-by-step explanation:

10% of the original purchase price of $130,000.

130,000 x .10 = 13,000

7 0

3 years ago

HELP ASAP!!! Please!

denis23 [38]

Answer:does not like hamburgers: 43

does not like burritos: 113

likes hamburgers total: 111

Step-by-step explanation: you have to add the two other totals to get a total of subtract a totals to get an answer

7 0

4 years ago