Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square
The values of the Maze are as follows;
- x = 10
- x = 8
- x = -9
- x = 5
- x = 11
- x = 3
- x = -5
- x = 9
- x = 7
- x = -7
Reason:
The solutions are;
10·x + 15 = 12·x - 5 by alternate interior angles theorem
6·x + 6 = 5·x + 14 by alternate exterior angles theorem
x + 109 = 100 by corresponding angles theorem
11·x + 5 + 120° = 180° by same side interior angles theorem
11·x - 1 = 10·x + 10 by corresponding angles theorem
35·x + 5 = 110 by corresponding angles theorem
x + 85 + x + 105 = 180 by same side interior angles theorem
7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem
19·x - 3 = 130 by alternate interior angles theorem
x + 67 = 60 by alternate interior angles theorem
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Answer and Step-by-step explanation:
Distribute the 6mn to the 2m and -3n
The answer is:
#teamtrees #WAP (Water And Plant)
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
We have been given that Sarah invests her graduation money of $1,750 in an annuity that pays an interest rate of 6% compounded annually. We are asked to write an exponential function for her investment growth.
We will use compound interest formula to solve our given problem.
, where
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Since interest is compounded annually, so .
Therefore, the function describes Sarah's investment growth.
Answer:
The correct option is;
d) CPCTC
Step-by-step explanation:
The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven
Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;
Vertex D corresponds to vertex C
Vertex O corresponds to vertex A
Vertex G corresponds to vertex T
Therefore, given that ΔDOG ≅ ΔCAT, we have;
∠D ≅ ∠C by CPCTC
∠O ≅ ∠A by CPCTC
∠G ≅ ∠T by CPCTC.