Answer:
17/6
So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right
The correct option is (A). and are connected at point Y. is reflected across XY and then is reflected another time across YZ to form .
Given, and are connected at point Y.
is reflected about XY will shift the marked angle from left to right while the right side angle will remain at the same location and the triangle will remain upright to give
Reflection about the YZ will give the marked angle and the right angle in the same location and the vertex X will then be changed to P.
Thus , can be mapped to with two reflections.
In the second option, we have is reflected 3 times which is more than 2 times as said in question. so this statement is false.
In next option is reflected across side XY and then is shifted downwards to form .since here we have only one reflection, so this statement is also false.
4) In option 4 is reflected and then rotated thus option 4 is also not a correct option.
Hence the correct statement is and are connected at point Y. is reflected across XY and then is reflected another time across YZ to form .
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Answer:
The correct option is the first option;
Triangle XYZ and PYT are connected at point Y. Triangle XYZ is reflected across XY and then is reflected another time across YZ to form triangle PYT
Step-by-step explanation:
To answer the question we look at each option as follows;
1) The parameters given are triangle XYZ and PYT are connected at point Y
Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'
Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P
Therefore, triangle XYZ can be mapped to triangle PYT with two reflections
2) In the second option, we have triangle XYZ is reflected 3 times which is more than 2 times as in the question, therefore, option two is less suited as an answer to the question
3) Triangle XYZ is reflected across side XY and then is shifted down to form triangle AYT
Therefore, since we have only one reflection, option 3 is also not appropriate as an answer
4) In option 4 triangle XYZ is reflected and then rotated therefore option 4 is also not a correct option.
Answer:
function is correct for Erin's purpose and the new growth rate is 32%
Step-by-step explanation:
Growth rate function: --A
where r is the rate of growth
We are given that The function represents the growth of a dragonfly population every year in a remote swamp.
Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year
So, equation becomes:
Now on comparing with A
1.32=1+r
0.32=r
So, New growth rate = 0.32=32%
Hence function is correct for Erin's purpose and the new growth rate is 32%
Answer:
B
Step-by-step explanation:
12:00 + 3:40
= 15:40.
Answer:
The highest common factor of 30 and 45 is 15.
Step-by-step explanation:
factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)
Greatest common factor is 15
Answer:
15.
Step-by-step explanation:
HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.
3 30 45
5 10 15
2 3
3 × 5 = 15