You have to prove that 2 angles are conguent to the other triangles angles; example: ∠A≅∠C by the additon POC (2 of those) and then one side; example: AB≅BA by the reflexive POE (1 of those)
I cant see the triangles but thats how you do them, also im learning this right now too, look up the triangle congruence things like ASA ≅ SSS≅ HL≅ exc. a chart will explain how to prove them using that:
A)
150 were surveyed, possible outcomes, and 132 said they prefer dogs, favorable outcomes, 132/150 or 22/25 or 0.88, now 0.88 * 100 is just 88, namely 88% is the probability.
b)
since we know is 88%, what is 88% of 100? (88/100) * 100, 0.88 * 100, or just 88 students.
c)
18/150 or 3/25 or 0.12 namely 12%,
what's 12% of 300? (12/100) * 300, or 0.12 * 300, so just 36 students.
Answer:
1) 22.5 A
2) 112 B
3) 430 L
4) 576 P
5) 486 L
6) 624 S
Code is A B L P L S
Step-by-step explanation:
1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5
2) Area of a parallelogram = base x height = 14 x 8 = 112
3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)
= 2(15x7 + 15*5 + 7*5)
= 2(105 + 75 + 35)
= 2 * 215
= 430
4) Volume of a triangular prism = 1/2 * base * length * height
= 1/2 * 8 * 16 * 9
= 576
5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required
6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624
Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on
Answer:
a) 50.24 ft²
b) 150.72 ft²
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.
The distance across a circle is also called a diameter, Hence,
D = Diameter = 8 ft
The Area of a circle = πr²
r = Diameter/2 = 8ft/2 = 4ft
π = 3.14
Hence,
The Area of the circle = π × (4 ft)²
= 50.24 ft²
a) Approximately the amount of wall the circle will cover is 50.24 ft².
b) How much area will he cover if he painted a circle on three walls?
This is calculated as:
1 wall = 50.24 ft²
3 walls = x
Cross Multiply
x = 3 × 50.24 ft²
x = 150.72 ft²
(5x+1)(5x+1)=25x+5x+5x+1=35x+1
The area of the square rug is (35x+1).
I may be wrong, I never was good at these types of problems.
