Answer:
x = -1
Step-by-step explanation:
f(x) = g(x) when x = -1
First we will find the value of x.
To find the value of x we can add angle Q and angle O and set them equal to 180 and solve for x.
We will be setting them equal to 180 since the opposite angles of an inscribed quadrilateral are supplementary.
angle Q + angle O = 180
6x - 5 + x + 17 = 180
7x +12 = 180
7x = 168
x = 24
Now we can use 24 for x and find the value of angle QRO
angle QRO = 2x + 19
angle QRO = 2(24) + 19
angle QRO = 48 + 19
angle QRO = 67
So the answer choice B is the right answer.
Hope this helps :)<span />
Answer:
Step-by-step explanation:
Let's do this properly:
Area of trapezoid = average length times height.
Here,
Area = (1/2)(8 cm + 14 cm)(8 cm), or
= (11 cm)(8 cm) = 88 cm^2
It appears that Tina forgot to divide the sum of 14 cm and 8 cm by 2. Thus, her answer is twice as large as it should be.
He can give at most 2 adult haircuts with the remaining time
<h3>How many adult haircuts at most can he give with the remaining time? </h3>
The inequality is given as:
0.75C + 1.25A <= 7
Also, we have
C = 5
Substitute C = 5 in 0.75C + 1.25A <= 7
0.75 * 5 + 1.25A <= 7
Evaluate the product
3.75 + 1.25A <= 7
Evaluate the like terms
1.25A <= 3.25
Divide by 1.25
A <= 2.6
Rewrite as
A < 3
Hence, he can give at most 2 adult haircuts with the remaining time
Read more about inequalities at:
brainly.com/question/15010638
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<u>Complete question</u>
Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7
Horace gave 5 child haircuts.
How many adult haircuts at most can he give with the remaining time?
Answer: (1)
; (2) 340 miles. See details below.
Explanation:
The key here is to know that given the speed and time traveled you can determine the (distance traveled) as (speed) x (time).
They want us to keep the time traveled for the first part of the journey as a variable, so let us do that. The speed during the first part is 65mph, so the distance for the first part is

Knowin that the total ride was 6 hours, the distance in the second part (with speed of 40 mph) is as follows:

So the total distance in terms of t is:

(this is the answer to the first question). Note that t can range form 0 to 6 hours but outside of this range the expression is not applicable.
If we know t=4 hours:

The answer to the second question is 340 miles.