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2 years ago

14

For A-C, select True or False for each statement about the sequences of transformations that can verify that triangle ABC is con

gruent to A'B'C'.
True or false

1 answer:

nalin [4]2 years ago

4 0

Answer:

True, False, True

Step-by-step explanation:

To prove congruency, the sequence of rigid motions needs to map the preimage onto the image.

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A lawyer drives from her home, located 2 miles east and 3 miles north of the town courthouse, to her office, located 5 miles

LekaFEV [45]

Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula $d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=$
$=\sqrt{7^2+24^2} = \sqrt{49+576} = \sqrt{625} =25$ .
Answer: 25 miles.

7 0

3 years ago

HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6

SpyIntel [72]

Part A

Her steps were

$-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\$

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like $-\frac{17}{6}\times \frac{3}{4}$

=======================================================

Part B

Here's what she should have written

$-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\$

If you want to convert that improper fraction to a mixed number, then you could do something like this

$-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\$

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

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