1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vredina [299]
3 years ago
7

In the figure below lines p and q are parallel

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

<5 and <8 are vertical angles

so, their measures are congruent

Step-by-step explanation:

You might be interested in
I don't know how to answer this question.
laiz [17]

Answer:

- 39/8y

Step-by-step explanation:

First you need to find a common denominator:

There is already a y in both denominators, so you don't have to worry about that. Since only one denominator has an 8, the other needs to have an 8, so you need to multiply the first fraction by 8 → - 4/y * 8 = - 32/8y

From here you can subtract the numerators:

- 32/8y +(- 7/8y) = - 39/8y

Because you are adding a negative to a negative, it makes the number mroe negative


I hope this helps!

3 0
3 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Over the summer, for every 14 Okra seeds Dana planted, 9 plants grew. If he planted 182 seeds, how many grew into plants?
vova2212 [387]
Simple...

you have: For every 14 seeds that Okra seeds Dana planted 9 of them grew; if he planted 182 seeds..how many grew?

Set up an equation...

\frac{9}{14} = \frac{x}{182}

Cross multiply....

14*x=14x

9*182=1638

14x=1638

\frac{14x}{14} = \frac{1638}{14} =117&#10;

x=117

This means that, for 182 seeds planted, 117 of them grew to be plants.

Thus, your answer.
3 0
3 years ago
Read 2 more answers
What are some characteristics for simplest form  
givi [52]
Ex. 9 divided by 3=3 because 3x3=9
7 0
3 years ago
Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?
boyakko [2]
\boxed{\boxed{\text{Perimeter = 2(Length + Width)}}}

Given that the perimeter is 16ft and width is 5 ft,
16 = 2( Length + 5)

Distribute 2:
16 = 2Length + 10

Take away 10 from both sides:
2Length = 16 - 10

Evaluate the right hand side:
2Length = 6

Divide by 2 on both sides:
Length = 3

\boxed{\boxed{\text{Answer: Length = 3 ft}}}

8 0
4 years ago
Other questions:
  • How are improper fractions and mixed numbers different from proper fractions?
    7·1 answer
  • I need help ASAP I'm not sure if I'm right
    7·2 answers
  • What is the slope of a line perpendicular to the graph of the equation 5x-3y=2?
    14·1 answer
  • Solve the following system pf equations
    15·1 answer
  • Solve: 3 1/2 - 1 2/3 =
    5·2 answers
  • A rectangle is divided into four smaller rectangles whose areas in sq cm are 35, 42, 10, and N, as shown. The length of each sid
    12·2 answers
  • As school prefect, write a letter to your District or municipal or metropolitan executive requesting the maintenance of the buil
    12·1 answer
  • Mr. Campbell was travelled 80 miles in 2 hours. What was his average speed?
    8·1 answer
  • What is 1000000 times 3290
    11·1 answer
  • Which statement would be true if you evaluate the expression 15x(465x4)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!