Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given : Two parallel lines are crossed by a transversal.
To find : What is the value of x.
Solution : We have given Two parallel lines are crossed by a transversal.
Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.
Corresponding angle are equal.
Then , angle x = angle 115 are corresponding.
Therefore, angle x = angle 115.
X = 5
since we know y= 5 + x , plug this into y in the second equation.
2x + 2 (5 + x) = 30
distribute 2 into the 5 and x
2x + 10 + 2x = 30
combine like terms
4x + 10 = 30
subtract 10 from both sides
4x = 20
divide four by both sides to isolate the variable
x = 5
Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=>
=
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set = 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3
to find area, multiply base x height, or length x width
In this case:
(x + 4)(x + 3)
Solve by foiling.
(x + 4)(x + 3) = x² + 3x + 4x + 12
Simplify
x² + 3x + 4x + 12 = x² + 7x + 12
x² + 7x + 12 is your answer
hope this helps
Answer:
5/1, or 5
Step-by-step explanation: