Answer:
29°
Step-by-step explanation:
151° + a=180°
We know the sum of angles in a straight line is 180°
a= 180°-151°
The sign changed as it changed sides
a= 29°
Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number
Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5
Now, let’s plug the first equation into the second to find ‘b’:
2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11
Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19
Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8
Hope this helps!
Answer:
Step-by-step explanation:
The height of the television is 40 inches and the length is 71.5 inches.
Part A
The part of the right angle triangle that you have been given are the legs which are also the opposite and adjacent sides. You are looking for the hypotenuse
Part B
The Pythagorean theorem is expressed as
Hypotenuse² = opposite side² + adjacent side²
The equation becomes
Hypotenuse² = 40² + 71.5²
Part C
Length ² = 1600 + 5112.25
Length ² = 6712.25
Length = √6712.25
Length = 81.9 inches
Part D
The size of the television is 82 inches
I might need a little bit more information maybe a chart?
