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
The correct answer is:
[A]: "
" .
______________________________________________________<u>Note</u>: "3/4" = "6/8" = "15/20" .
______________________________________________________
If you take a moment and solve each equation (find the value
of the letter in each one), it'll jump out at you.
Here, let me do it for you. Why should you tire yourself.
5x = 20 . . . . . x = 4
4b = 7 . . . . . . b = 7/4
8w = 32 . . . . . w = 4
12y = 48 . . . . . y = 4
The second equation is not like the others.
It's the only one where the letter is not equal to 4 .
Answer:
y=57 degrees and x=66 degrees
Step-by-step explanation:
123+57 =180 so angle y=57 degrees
57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X
