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make sure your calculator is in Degree mode.
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Answer:
a) 8x+6a
b)5q+7q
Step-by-step explanation:
a) we need to combine the like(same) terms(with same variable) together
same terms: 3x and 5x
2a and 4a
so
3x+5x=8x
2a+4a=6a
8x+6a
b)a) we need to combine the like(same) terms together
same terms: 7p-2p=5q
6q+q=7q
Given:
The inequality is:

To find:
The domain and range of the given inequality.
Solution:
We have,

The related equation is:

This equation is defined if:


In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,



The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
The greatest angle in the given triangle is 104 degrees.
<h3>
What is a triangle?</h3>
- The polygon with 3 sides, three vertices, and three angles is known as a triangle.
- A triangle's overall number of degrees is always 180 degrees.
Given:
- Let, the second angle has a measurement of x degrees.
- The first angle's measurement is 24 degrees greater than the second angle's measurement.
- As a result, the first angle is (24+x) degrees.
- The third angle is four times as large as the second.
- As a result, the third angle has a measure of 4x.
So,
- (24 + x) + x + 4x = 180
- 6x = 124 - 48
- 6x = 156
- x = 156/6
- x = 26
As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
Therefore, the greatest angle in the given triangle is 104 degrees.
Know more about triangles here:
brainly.com/question/17335144
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