Answer:
25 cm^2
Step-by-step explanation:
the area of 1 triangle is 20, so the missing length of the triangle is 5. 5x5=25
Answer:
18
Step-by-step explanation:
The boys collected:
12 · 16 = 192
The girls collected:
15 · 14 = 210
So the girls collected 18 more cans more than the boys.
(Integers calculation)
Answer:
It depends, see answer below
Step-by-step explanation:
By arithmetic, we refer to the elementary operations between numbers. You can build the integer, rational, real and complex number systems from the natural numbers, so it is enough to obtain arithmetic for natural numbers.
In the axiomatic formulation of natural numbers, you assume that there exists a non empty set N such that multiplication and addition are defined in N with the commutative, associative, distributive and modulus properties. If you take this approach, you need all of the above: Numbers exist, Multiplication, Addition.
A different approach is the following: assume the Peano axioms: The set of natural numbers exists, and it obeys an inductive structure (without going in further details, every natural number has a unique sucessor, and mathematical induction is valid). You can define addition and multiplication inductively, so in this case you only need to assume that numbers exist.
Before attempting to solve this question, we must first know three things.
1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.
0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
