Answer:
The correct answer is x = 24.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:
m<a = m<b
If we substitute their values, we get the following:
5x - 24 = 3x + 24
To solve this equation, we can first subtract 3x from both sides of the equation.
2x - 24 = 24
Next, we can add 24 to both sides of the equation.
2x = 48
Finally, we can divide both sides of the equation by 2.
x = 24
Therefore, the answer is x = 24.
Hope this helps!
Answer:
The sorting pattern is as follows:
Apples: Pound = 4:1 or 1.75:1 or 1:1.75
Given are i) 15 apples to 26.25 lbs = 15:26.25=1:1.75 Hence goes to the third box
ii) 14 apples to 3.5 lbs =14:3.5 = 4:1 lb. hence, goes to first box
iii) 2 apples to 0.5 lbs: =2:0.5 =4:1 hence, goes to first box
iv) 20 apple to 35.0 lbs: =20:35.0 =1:1.75 hence, goes to third box
v) 7 apples to 4.0 lbs: = 7:4.0=1.75:1 hence, goes to second box
i - Third box
ii - First box
iii - First box
iv) - third box
v) - second box
Given that,
ABC is a right angle triangle, C is the right angle.
To find,
cosB = ?
Solution,
The sum of angle of a triangle is equal to 180 degrees. So,
∠A + ∠B + ∠C = 180°
Put ∠C = 90°
∠A + ∠B + 90° = 180°
∠A + ∠B = 90°
Taking cos with each term.
cosA+cosB = cos (90)
cosA+cosB = 0
cosB=-sinA
Hence, cosB = sinA.
The diagram is attached below
Beaker 1: The measurement line is between 32 and 33. There are 5 lines between 32 and 33. Making line is between third line and fourth line(between 6 and 8). So 32.7
Beaker 2: The measurement line is between 30 and 40. We can clearly see the measurement line at 32. So its 32
Beaker 3: The measurement line is between 32.7 and 32.8. We have 10 small lines inbetween them. Measurement line at 4. So its 32.74
(b) the amount of water in each of 3 beakers are not same because we can measure the difference. But they are close to each other.
Answer:
we know that, 1miles/hour = 0.45m/s
or, 1meters/second = 1/0.45
1m/s = 2.22222222222
Step-by-step explanation:
Then,
72.0 meters/second = 72.0*2.22222222222
=160 miles per hour.