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Dmitriy789 [7]
4 years ago
7

Which triangles (if any) can be shown to be congruent using a rotation? A) 1 and 2 B) 2 and 3 C) 1 and 3 D) none

Mathematics
1 answer:
Talja [164]4 years ago
6 0
The answer is 1 and 3. 
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I’m confused on this one
Mandarinka [93]

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP


From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.


Givens

PQ = 8

QR = 5

RS = 15

ST = x + 3


Ratio

QR/RP = RS/RT


Sub and solve

RP = 5 + 8

RP = 13


RT = 15 + x + 3

RT = 18 + x


5/13 = 15 / (18 + x) Cross multiply

5(18 + x) = 195 Remove the brackets on the left.

90 + 5x = 195 Subtract 90 from both sides.

5x = 105 Divide by 5

x = 105/5

x = 21 Answer <<<<<<<

3 0
3 years ago
A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
F(x) = 4x + 2; find f(8)
likoan [24]

Answer:

f(8)=34

Step-by-step explanation:

To solve, you just substitute x for 8

4(8) + 2

32 + 2

F(8) = 34

8 0
3 years ago
How is a calculation of net worth different from a day-to-day or month-to-month tallying of expenses?
alina1380 [7]
The difference in tallying of expenses from a day to day and month to month is the consistency. in a day to day basis it is consistent the time for a day is 24 hrs it will not change, so you will really know why the expenses goes up or down/ unlike for a month to month it is inconsistent,, some months have 30, 31 or 28 days in a month.
8 0
3 years ago
Solve for x. −3/4(x+2)=6
Sergio039 [100]
X= -10        I hoped this helped you answer your question!
3 0
3 years ago
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