<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
Step-by-step explanation:
Area of a triangle is A=(1/2)*base*height
A = (1/2)*(4.4)*(3.3) = 0.726 cm2
Answer:
Step-by-step explanation:
dy/dx = d/dx log root under x-1 / root under x+1
dy/dx = root under x+1 / root under x-1 * 1/(x+1)^2/3 * 1/root under x-1
dy/dx = (x+1)^2/ x-1
Answer:
The maximum amount that Lydia can spend on a one-bedroom apartment is $ 1,750.
Step-by-step explanation:
Given that Lydia makes $ 7,000 per month in New York City at her interior design company, and that she can't spend more than 25% of her income on the one bedroom apartment, to determine the maximum amount of money that she can spend must be made the following calculation:
7,000 x 0.25 = X
1,750 = X
Thus, the maximum amount that Lydia can spend on a one-bedroom apartment is $ 1,750.
