Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
First you need to fix the equation in order to graph.
x + y = 3
Subtract x from both sides.
y = -1x + 3
Now graph.
(Whenever there is a variable by itself there is always a 1 in front of it.)
There is a site called desmos that can help↓
Answer:
there would be 5 girls, boys 1; girl 1.25
Step-by-step explanation:
there are 1.25 girls for every boy
Answer:
a.) Minimum test score = 41
Maximum test score = 95
b.)An approximate value of the standard deviation is 9.
Step-by-step explanation:
The given set of test scores is approximately bell shaped.
The mean of the test scores,
= 68
The range of the data set = 54.
a.) i.) Minimum test score = 
ii.) The maximum test score = 
b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from
and the maximum can also be approximated as
.
From the above we can say that the range can be written as

∴ 
∴ 
Therefore an approximate value of the standard deviation is 9.
Answer:
3x+15= 4x-10
3x-4x= -10-15
-x= -25(minus will be cut on both sides)
so x= 25