0.7 divided by 0.35 = 2 is the correct answer :))
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
<u><em>Answer:</em></u>
SAS
<u><em>Explanation:</em></u>
<u>Before solving the problem, let's define each of the given theorems:</u>
<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle
<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle
<u>Now, let's check the given triangles:</u>
We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
This means that the two triangles are congruent by <u>SAS</u> theorem
Hope this helps :)
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.
20(1.15), 20(1.15)², 20(1.15)³,
Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..
Snakes are increasing by 4.
28, 32, 36,....
Function = 24 + 4n n = number of end year, n =1, 2, 3,...
<span>B) After 10 years: </span>
Parrot = 20(1.15)¹⁰ = 80.91115471
Snakes = 24 + 4(10) = 64
<span>C) After what time they are the same: </span>
We use trial and error:
Test: n 20(1.15^n) (24 + 4n)
1 23 28
2 26.45 32
<span> 3 30.41 36 </span>
4 34.98 40
5 40.23 44
6 46.26 48
7 53.20 52
8 61.18 56
9 70.36 60
After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>