The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
<h3>Vertical opposite angles</h3>
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
learn more on intersecting lines here: brainly.com/question/24715845
Answer:
A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68
Step-by-step explanation:
Consider the provided information.
A random sample of 21 checking accounts at the bank are chosen,
That means n=21
df = n-1
df = 21-1=20
We need to Construct and interpret a 95% confidence interval.
Determine t critical value for 95% confidence interval.
0.95=1-α
α=0.05
The sample size is small and it is a two tailed test.
From the t value table confidence interval is 2.086
An average daily balance is $303 and a standard deviation of $63.

Substitute the respective values.



A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68
Answer:
D.
Step-by-step explanation:
Are of the triangle= height x base/2
15.2 x 35.6
541.12/2
270.56
If you are worried about 23.4´s in the triangle they always tend to be there and confuse the student.The height will always have that little square.
Answer:
The class width is 
Step-by-step explanation:
From the question we are told that
The upper class limits is 
The lower class limits is 
The number of classes is 
The class width is mathematically represented as

substituting values



Since
Answer:
$21
Step-by-step explanation:
15 x 1.4 = 21
Multiply by 1 to keep the original price, plus 0.4 for the 40%