The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
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Answer:
Check pdf
Step-by-step explanation:
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
Answer:
approximation is often useful when it is not a very good one
Answer:
1. 64
2. 72 square feet
3. 31.5 square feet
Step-by-step explanation:
For the first one use the equation A=bh.
Plug in your values: A=12.8*5.
Solve: A=64
For the second one multiply 8*3 which gives you 24. Next multiply that by 3 to give you 72 square feet.
For the third one multiply 9 by 3.5 to get 31.5 square feet.
