Answer:
angle: 71
x = -3
Step-by-step explanation:
step 1: 180-(55+54) = 71
step 2: x+74=71 (subtract 74 from both sides)
step 3: x=-3
step 4: -3+74=71
Answer:
1 : 36
Step-by-step explanation:
To obtain the scale factor, the dimensions must be in the same units.
Using the conversion
1 foot = 12 inches, then
15 feet = 15 × 12 = 180 inches, thus
scale factor = 5 : 180 ← divide both parts by 5
scale factor = 1 : 36
C. 5x - 2y = 16 is your answer
plug in each point into the equation.
(2, -3)
x = 2, y = -3
5(2) - 2(-3) = 16
10 + 6 = 16
16 = 16 (True)
(4,2)
x = 4, y = 2
5(4) - 2(2) = 16
20 - 4 = 16
16 = 16 (True)
hope this helps
Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
30 is 20% of 150
Working out percentage problems of the form "30 is 20 percent of what number?"
We have, 20% × x = 30
or,
20/100 × x = 30
Multiplying both sides by 100 and dividing both sides by 20,
we have x = 30 × 100/20
x = 150
If you are using a calculator, simply enter 30×100÷20, which will give you the answer.