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3 years ago

I need help solving these practice problems

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

I believe these are the answers.
A. congruent
B. isn't congruent
C. congruent
D. congruent
Hope this helps :D

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If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?

Sergio [31]

Answer:

$\overline {R'S'} = 3 {\overline {RS} }$

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, ${\overline {S'Q'} }$ = 3 × The length of the segment, ${\overline {SQ} }$

Similarly;

The length of the segment, ${\overline {R'Q'} }$ = 3 × The length of the segment, ${\overline {RQ} }$

By Pythagoras theorem, we have;

${\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2$

Therefore;

${\overline {R'S'} }^2 = {\overline {R'Q'} }^2 - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2 - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} } ^2 - {\overline {SQ} } ^2 \right) = 9 \times {\overline {RS} }^2$

$\therefore \sqrt{ {\overline {R'S'} }^2} = \sqrt{ 9 \times {\overline {RS} }^2}= 3 \times {\overline {RS} }$

$\overline {R'S'} = 3 \times {\overline {RS} }$ .

6 0

3 years ago

A recipe calls for 2 1/4 cups of brown sugar.If I am only making 2/3 of the recipe , how many brown sugar should I use?

kotegsom [21]

Answer:

3 3/8

Step-by-step explanation:

Correct me if I'm wrong

4 0

2 years ago

Read 2 more answers

SOMEONE HELP ME PLSSSSSSSSSSSSSSSSSSS

fomenos

Answer: drag the first one to the fourth one, drag the second one to the first one,drag the third one to the second one,drag the fourth one to the third one.

Step-by-step explanation:if its wrong then im sorry

3 0

3 years ago

What is the distance between the points (-7, 5) and (-2, -7)

harkovskaia [24]

Answer:

The distance between those points is 13.

Step-by-step explanation:

1. (x2-x1) = (-2 - -7) = 5

2. (y2-y1) = (-7 - 5) = -12

3. (5)2 + (-12)2 = 25 + 144 = 169

4. √169 = 13

5. 13

7 0

3 years ago

-1/6 + 4/5 Write your answer in simplest form

Alchen [17]

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

5 0

3 years ago