Answer:
m∠P = 143°
Step-by-step explanation:
We know that supplementary angles add up to 180, and with the knowledge that angle P is 5 times than 4 less (5x-4) the measure of angle Q (x), we can set up the equation (4x-5)+(x)=180. We can then solve and get x = 37, and then we can plug X back into 5x-4 to get the angle of 143 degrees.
The two marked angles are complementary angles. This means that the angles are equal.
Hence, X + 1 = 2X - 3.
By rearranging, X = 4.
Answer:
21
Step-by-step explanation:
You have to multiply 3 and 7 to get 21.
It’s easiest to think about it this way:
If the pond is 15 feet wide, then adding 3 feet to each side would increase the side length to the square by six feet (3 feet on each side). This makes the area within the square equal to 18x18 feet, or 324 square feet. But, this isn’t the area of the sidewalk, it’s the area of the sidewalk plus the area of the pool.
The pool is fifteen feet wide, which means that it has an area of 225 square feet. So, to find the area of the side walk, we can subtract the area of the pool from the area of the pool and sidewalk, which will give us the area of the sidewalk by itself.
324-225=99 square feet.
The pool has an area of 225 square feet, and the sidewalk has an area of 99 feet.
Let x be the number of rocks that George have at first.
First, George have x rocks. Then, he gets 5 new rocks. So, we have:
Next, half of his rock collection is given to Susan.
Susan got 36 rocks, so the equation is
