Answer:
<u>Figure A</u>
Step-by-step explanation:
See the attached figure which represents the given options
We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.
As shown: point A will map to point L, point R will map to point P and point Q will map to point K.
we will check the options:
<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.
<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.
<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.
<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.
So, the answer is figure A
<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>
Answer:
C = 6 + 2.5g
Step-by-step explanation:
A local lawn service charges $6.00 per cut plus $2.50 per gallon of gas used.
If in a cut g gallons of gas is used then, the cost for gas used will be $2.5g and there is a fixed charge of $6.00 per cut.
Therefore, in total the cost per cut becomes 6 + 2.5g and if we represent the total cost as C, then we can write
C = 6 + 2.5g. (Answer)
Answer:

Step-by-step explanation:
For this triangle we have to

We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So

Now we use the sine theorem to find the length of b:

Then:

The answer is 10.4 because you multiply 0.2 by 52
Answer:
37.5
Step-by-step explanation:
so x% of 40 is 15
the equation for that is
x/100 * 40 = 15
40x/100 = 15
multiply 100 on both sides
40x = 1500
divide 40 on both sides
37.5
37.5% of 40 is 15