Answer:
a) (-9,3)
Step-by-step explanation:
x + 2y = -3
- (x - y = -12)
<u />
x + 2y = -3
<u>- x + y = 12</u>
3y = 9
y = 3
x - y = -12
x- 3 = -12
x= - 9
(-9, 3)
Hello! $800 was the past amount for rent and now it's $900. 900 - 800 is 100. that's a $100 difference. In order to find the percent increase in the rent, we can write and sovle a proportion. It would be set up as change/original = x/100, where change is difference between two numbers and original is the previous price. It would be set up like this:
100/800 = x/100
Let's crossmultiply the values. 100 * 100 is 10,000. 800 * x is 800x. That makes 10,000 = 800x. Now, divide each side by 800 to isolate the x. 800x/800 cancels out. 10,000/800 is 12.5 or 12.5%. Let's check this by multiplying by 112.5%. 800 * 112.5% (1.125) is 900. That's what we're looking for! There. x = 12.5%. The percent increase is 12.5%.
Answer:
Step-by-step explanation:
Hey, this question concerns the inscribed angle theorem.
The formula for this is:
∠ABC = 2*∠ADC
∴ ∠ABC = 40°
For proof, look up 'inscribed angle theorem (or central angle theorem)' on YT.
Answer:
C
Step-by-step explanation: