Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°
Therefore, we can set up this equation:
(2x + 24) + x = 180 ⇒ Remove parentheses
2x + 24 + x = 180 ⇒ Combine like terms
3x + 24 = 180 ⇒ Subtract 24 from both sides
3x = 156 ⇒ Divide both sides by 3
x = 52°
Answer:
2 min
Step-by-step explanation:
she runs 5 miles in 52 min
her goal is 6 miles
so if 5 miles is completed in 50 min then 1 mile = 10 min
and 6 mile = 60 min
Answer:
last payment is 45% and is $225
Step-by-step explanation:
Answer:
16 feet
Step-by-step explanation:
This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
