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>
The function that models exponential growth is:
P(t) = P0*(1 + r)^t, where
P0 = P(0) is the initial value of P
r is the growth rate as a decimal
In our case we have:
P(0) = 2800
r = 0.035 or 3.5%
P(t) = 2800*(1 + 0.035)^t
P(t) = 2800*(1.035)^t
The same exponential function written using y and t is:
y = 2800*1.035^t.
Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
Answer:
1= 2x+11
2= is none of those
3= √x^2 –11
4= √2x+11
Step-by-step explanation:
Answer: Option B and option D.
Step-by-step explanation:
We know that a quadrilateral is a 2-dimensional closed shape that has four sides.
By definition the diagonals of a quadrilateral are the lines that connect two non-adjacent vertices.
The following quadrilaterals have diagonals that are perpendicular to each other (also known as perpendicular bisector diagonals), which means that they form four angles of 90 degrees (right angles): <em>Rhombus and Square.</em>
Therefore the answers are: the option B and the option D.