Given:
Consider the below figure attached with this question.
and 
.
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
Now,
Therefore, the measure of angle 3 is 140 degrees.
Answer:
a) 120 words per minute
b) 130 words per minute
Step-by-step explanation:
A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.
a) Jasmine can read 120 words per minute
Jasmine reading unit rate = total number of words read / time taken
Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute
b) It takes Scott one minute to read 130 words
Scott reading unit rate = total number of words read / time taken
Scott reading unit rate = 130 words / 1 minute = 130 words per minute
Answer:
Formula for nth term in Arithmetic sequences is:
where a is the first term, d is the common difference and n is the number of terms.
As per the statement:
The rule for the pattern is add 4.
As the first term in line says the first term i,e 7
common difference(d)= 7
As the Jenna number is 8th in line.
Series we get;
7, 11, .........
We have to find the 8th term.
n = 8, a = 7 and d = 4
Using above formula:
Therefore, 35 number should Jenna say.
Answer:
3/4 (A)
Step-by-step explanation:
replace x with -2 in the function
3 · 2^-2 = 3 · 0.25
3 · 0.25 = 0.75
0.75 = 3/4
The equation of the profit function is 300x - 3600
Total cost function C(x) = 74x + 3600
Total revenue function R(x) = 374x
The profit function is the difference between the total revenue and the total cost and this will be:
= R(x) - C(x)
= 374x - (74x + 3600)
= 374x - 74x - 3600
= 300x - 3600
In conclusion, the equation of the profit function is 300x - 3600
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