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
mr_godi [17]
4 years ago
14

Use the conditional statement to answer the question.

Mathematics
1 answer:
lions [1.4K]4 years ago
6 0
The original statement is true by the definition of what constitutes a right angle. It's simply set up this way. 

The contrapositive would be the statement "if the angle does not measure 90 degrees, then the angle is not a right angle" which is also a true statement. Example: a 37 degree angle is not a right angle.

Note: the original conditional "If P, then Q" would have the contrapositive be in the form "If not Q, then not P". We flip P and Q, and stick "not"s in front of both parts. 

So this is why the answer is choice D
You might be interested in
A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then
Juliette [100K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
katrin [286]
The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04

Logarithm both sides of the equation:
ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000

Thus, the population will be nearly 150 million in 2016
7 0
4 years ago
Reduce the following fraction to its lowest terms. 21/51
alex41 [277]

Answer:

7/17

Step-by-step explanation: I hope this helps!

4 0
3 years ago
Read 2 more answers
X delivery persons carry a total of B bags of groceries up the stairs. They can each carry y bags at a time, and they each make
True [87]

Answer:

B = 2xy

Step-by-step explanation:

pretty sure this is it

7 0
3 years ago
Read 2 more answers
Simplify the expression 18x^2/3x^6 .
sammy [17]

Answer:

6/x^4

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Classify the following triangle. Check all that apply.
    10·2 answers
  • What proves they are inverse
    15·1 answer
  • How many solutions does this equation have?
    15·1 answer
  • 198 cans of food consisted of both veggies and fruits. if 1/3 of the cans were veggies how many cans were
    8·1 answer
  • What does k equal in K + 8\5 = 1k
    14·1 answer
  • Please help with angles all of it if you can
    15·1 answer
  • Your starting salary at a new company is $34,000 and it increase by 2.5%
    9·2 answers
  • 10 cm<br> 15 cm<br> 6 cm<br> What is the total surface area of the prism in square centimeters?
    7·1 answer
  • What is the solution to this system of equations? ​
    13·1 answer
  • What value of x makes this equation true?<br><br> 5x+3=2x-3
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!