Answer:
Option A is correct.
The domain of the g(x) is {x | x is a real number}
Step-by-step explanation:
The graph of the step function: g(x)=
Floor function is defined as the function that gives the highest integer less than or equal to x.
The graph of function: g(x)= where x is the independent variable as shown below;
Domain of any function is the complete set of possible values of the independent variable
Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
Plz mark brainliest:)
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean = 500 and a standard deviation = 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score =
Z-score =
⇒ Z-score =
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Answer:
2.6 million cubic metres
Step-by-step explanation:
please kindly check the attached file for explanation
<u>Answer-</u>
<em>The correct answer is</em>
<em>∠BDC and ∠AED are right angles</em>
<u>Solution-</u>
In the ΔCEA and ΔCDB,
As this common to both of the triangle.
If ∠BDC and ∠AED are right angles, then
Now as
∠BCD = ∠ACE and ∠BDC = ∠AED,
∠DBC and ∠EAC will be same. (as sum of 3 angles in a triangle is 180°)
Then, ΔCEA ≈ ΔCDB
Therefore, additional information can be used to prove ΔCEA ≈ ΔCDB is ∠BDC and ∠AED are right angles.