Option D is the correct answer.
Answer:
D. ∠B and ∠C are congruent.
Step-by-step explanation:
Since, ∠A and ∠B are supplementary.
Therefore,
∠A + ∠B = 180°.....(1)
Since, ∠A and ∠C are supplementary.
Therefore,
∠A + ∠C = 180°.....(2)
From equations (1) & (2)
∠A + ∠B = ∠A + ∠C
=> ∠B = ∠C
Hence, ∠B and ∠C are congruent.
Answer:
Range is : { -10, -7, -5, -2 }
Step-by-step explanation:
Given:
The function is given as:

The domain of the function = { -3, 0, 2, 5 }
A function's input is called its domain and a function's output is called its range.
The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.
Here, the domain is given as:
Domain = { -3, 0, 2, 5 }
We need to find the values of 'y' for each value of 'x' taken from the domain set.
Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Therefore, the set of all values of 'y' is the range.
Range is equal to { -10, -7, -5, -2 }.
The answer is B) x>3
13x - 4 < 12x - 1
13x > 12x + 3
x > 3
C ) sum
hope it helped...
sum is summation
Answer:(c)
Step-by-step explanation:
Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.
Find : to find that the given decision is create type I error , type II error or right decision has been taken
Step by step :
In hypothesis testing there are 2 types of error.
(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .
(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.
Since here null hypothesis has been rejected when alternative hypothesis has been true,i.e., the correct decision has been made
Hence option (c) is correct.