Answer:
1. x = 2, AC = 30, AB - 4
2. y = 4, AB = 34, BC = 34
Step-by-step explanation:
1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.
2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
-6
Step-by-step explanation:
5p - 14 = 8p + 4
Subtract 8p from both sides.
-3p - 14 = 4
Add 14 to both sides.
-3p = 18
Divide both sides by -3.
p = -6
Answer: -6
ANSWER = 17.5% of 360 = 63
EXPLANATION:
Find 10% of 360 = 36
Then 5% of 360 = 18
Then 2.5% of 360 = 9
Add them together
so 17.5% of 360 = 63
Answer:
it would be 36-45 and 56-64
