Answer:
∠FQD is 146°
Step-by-step explanation:
Because ∠P is on the same line as angle ∠Q, they are both corresponding angles meaning that they are equal so:
2x = 5x - 51
Add 51 to both sides of the equation:
2x + 51 = 5x - 51 + 51
2x + 51 = 5x
Subtract 2x from both sides:
2x - 2x + 51 = 5x - 2x
51 = 3x
Divide both sides by 3:
x = 17
Now we can calculate ∠FQE by substituting the known x into the equation:
5x-51
5(17) - 51 = 34
Now subtract this from 180 as all angles must add up to 180 on a straight line:
180 - 34 = 146
That means ∠FQD is 146°
Hope this helps!
Answer:
13.5
Step-by-step explanation:
Similar = alike but not the same
A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:
6/12 = 1/2
27 * 1/2 = 27/2 = 13.5
Answer:
<u>The answer is 4√5</u>
Step-by-step explanation:
Simplify 2√5 + 3√5 - √5
We can simplify this operation this way:
√5 (2 + 3 - 1) or (2 + 3 - 1)√5
Now, we resolve the operations inside the parenthesis:
√5 (5 - 1) = √5 (4) = 4√5 or (5 - 1) √5 = (4) √5 = 4√5
<u>So, the result of the simplification of this operation is 4√5.</u>
1. Base presents the whole number
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