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:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
<u>a. convert the raise as a percent into a decimal, then add 1</u>
20% = 0.2
0.2 + 1 = 1.2
<u>b. multiply the number by the original salary</u>
1.2 * 1500
1800
Answer:
See below
Step-by-step explanation:
B) The correlation coefficient is 
, which can be determined by plugging the data into a TI-84 calculator.
C) A correlation coefficient of indicates that the correlation between the independent and dependent variable (x and y in this case) is moderately strong with a positive correlation. The closer 
is to 1, the stronger the positive correlation. The closer is to -1, the stronger the negative correlation. If is closer to 0, then there's no correlation.
Answer:
there is one line of symmetry if you look closely at the shape
