Recall that t<span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.
For triangle A B C to be congruent to triangle D E F, then A B = D E, A C = D F and B C = E F
Also, the triangle D E F is a result of a rigid body translation of the triangle A B C.
Given that A is at point (1, 0) and D is at point (-1, 0), also given that B is at point (-1, 2) and E is at point (1, -2).
</span><span>It can be seen that points D E is a result of refrecting points A B
across the y-axis and then the x-axis.
</span><span>Thus, given point C as (2, 3),
refrection of point C across the y-axis will result in point (-2,
3) and then reflecting the resulting point across the x-axis will
result to point (-2, -3).
</span>Therefore, the coordinate for 'F' that would make triangle A B C and triangle D E F congruent is (-2, -3).
Step-by-step explanation:
Absolute value of a number gives the positive quantity of the number.
For instance,
From this example, therefore we know that
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In this question,
Answer: 4 7/12 cups of popcorn
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 7%/100
r = 0.07 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 200.00(1 + 0.005833333/12)(12)(5)
A = $ 283.53
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 200.00 at a rate of 7% per year
compounded 12 times per year
over 5 years is $ 283.53.
Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).
Rational numbers are fractions, or quotients, of two integers.
Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15
Natural numbers are whole, positive numbers.
Integers are whole, non-fraction numbers.
ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).
Hope this helps! :)
