Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
Answer:
Function B has a greater rate of change
Step-by-step explanation:
to find the rate of change or slope
Function A
(0,2) (3,5)
m =(y2-y1)/(x2-x1)
= (5-2)/(3-0)
= 3/3
m=1
Function B
m =(y2-y1)/(x2-x1)
= (9-6)/(6-4)
= 3/2
= 1.5
Function B has a greater rate of change
Answer:
10, because 10-3 is 7, and 7 is greater than 6.
Using geometric sequence concepts, it is found that:
a) The rule is:
.
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:

More can be learned about geometric sequence concepts at brainly.com/question/11847927
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