Answer:
<XYZ = 34
Step-by-step explanation:
Remark
Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.
Equation
3x - 7 = 2x + 1
Solution
3x - 7 = 2x + 1 Add 7 to both sides
3x - 7+7 = 2x +1+7 Combine
3x = 2x + 8 Subtract 2x
3x-2x = 2x-2x + 8 Collect like terms on both sides
x = 8
Solution 2
Find one of the bisected parts. You can choose either of the two parts so use 2x + 1
2x + 1
2*8+1
16 + 1
17
WYZ = 17 degrees
Solution 3
Double <WYZ to get <XYZ
<XYZ = 2 * 17
<XYZ = 34 degrees
Given:
length = 6
width = 5
height = 9
Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916 ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.
Given:
Pyramid base = 12 cm
height = 8 cm
We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.
a² + b² = c²
a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c Answer is letted D. 10 cm.
Answer: x < -1
Step-by-step explanation:
•Solve:
x + 6 < 5
• Subtract 6 on both sides:
x + 6 < 5
-6 -6
—————-
• Result:
x < -1
Answer:
12 and -9
Step-by-step explanation:
12 x -9 = -108
12 + -9 = 3
The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.
Because the 2 sides are the same the 2 bottom angles are also the same.
This means that 9x +3 = 84
Now we can solve for x:
9x +3 = 84
Subtract 3 from each side:
9x = 91
Divide both sides by 9:
x = 81 / 9
x = 9
