Answer:
1. B) 5.7
2. A) 12
3. A) 11.4
4. A) 5.7
5. A) 16.2
6. A) 11.2
7. No, they do not form a right triangle
8. Yes, they do form a right triangle
Step-by-step explanation:
Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.
1.
16² + b² = 17²
256 + b² = 289
256 - 256 + b² = 289 - 256
b² = 33
√b² = √33
b = 5.74 or 5.7
2.
16² + b² = 20²
256 + b² = 400
256 - 256 + b² = 400 - 256
b² = 144
√b² = √144
b = 12
3.
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.40 or 11.4 = c
4.
7² + b² = 9²
49 + b² = 81
49 - 49 + b² = 81 - 49
b² = 32
√b² = √32
b = 5.65 or 5.7
5.
a² + 5² = 17²
a² + 25 = 289
a² + 25 - 25 = 289 - 25
a² = 264
√a² = √264
a = 16.24 or 16.2
6.
10² + b² = 15²
100 + b² = 225
100 - 100 + b² = 225 - 100
b² = 125
√b² = √125
b = 11.18 or 11.2
7.
15² + 8² = 16²
225 + 64 = 256
289 ≠ 256
8.
5² + 12² = 13²
25 + 144 = 169
169 = 169
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:
Find common factors between 4 and 120 to simplify, so 4.
Now multiple across to get 90.
Answer:
y = -17
Step-by-step explanation:
5 + 3(y - 4) = 5(y + 2) - y Distribute
5 + 3y -12 = 5y + 10 - y Combine like terms
-7 + 3y = 4y + 10
+7 +17 Add 17 to both sides
3y = 4y + 17
-4y -4y Subtract 4y from both sides
-y = 17 Divide both sides by -1
y = -17
If this answer is correct, please make me Brainliest!
1) is false, it is always a rhombus.
2) is true, a rectangle with all sides equal would be a square.
3) is false, a kite's side lengths must be 2 pairs of unequal lengths.
4) is true, a square is a rhombus that has 90-degree angles.
5) is true, a kite must have 2 pairs of unequal lengths, but a trapezoid cannot have exactly 2 sides of equal lengths.
Answer:
130
Step-by-step explanation:
2x+5x+5=180
7x+5=180
7x=175
x=25
5(25)+5=125+5=130
