C I’m not sure but I hope it helps
Q1.
Angle BAD is adjacent to angle CAD
which means they are equal
so angle BAD = 26 degrees
Q2.
Angel BAC = the sum of angles BAD and CAD
because they are adjacent angles
To find the angles we solve the equations
9x-5 = 3x+7
9x-3x = 7+5
6x = 12
x = 12/6
x = 6
Answer:
the answer is B
Step-by-step explanation:
Answer: 30 feet
--------------------------------
Work Shown:
x = height of tree in feet
The larger triangle, and the smaller triangle that fits inside the larger, are similr triangles.
So we can form the proportion
x/5 = 48/8
Note how x/5 is the result of dividing the larger vertical side (x) over the smaller vertical side (5)
The same applies with 48/8. The larger triangle's horizontal side is 8+40 = 48. The corresponding horizontal side for the smaller triangle is 8
Cross multiply to solve for x
x/5 = 48/8
8*x = 5*48
8*x = 240
8*x/8 = 240/8
x = 30
The tree is 30 feet tall
Answer:
20 units
Step-by-step explanation:
Initial particle concentration = 80 units
Particles removed each hour = 50% of the remaining particles
To find:
Particle concentration after 2 hours = ?
Solution:
Particles removed in 1 hour = 50% of remaining particles
i.e. Particles removed in 1 hour = 50% of initial concentration
Particles removed in 1 hour = 50% of 80 = 40
Particles removed in next 1 hour = 50% of remaining particles
i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour
Particles removed in next 1 hour = 50% of 40 = 20
Total particles concentration removed in 2 hours = 40 + 20 = 60 units
Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours
= 80 - 60 = <em>20 units</em>
