2x+10 x + 3
------------ = --------------
10 4
4(2x+10) = 10(x+3)
8x + 40 = 10x + 30
2x = 10
x = 5
AE =2x+10 = 2(5) +10 = 20
answer
20 units
Its y = -4/3x -6
so-4/3 is slope
Answer:
and 
Step-by-step explanation:
sinB = 
= 
=
tanC = 
= 
= 
Thus
sinB tanC = × ( cancel b on numerator/ denominator )
=
---------------------------------------------------------------------------
sinC = = 
=
tanB = = 
= 
Thus
sinC tanB = × ( cancel c on numerator/ denominator )
=
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
