Answer: 19.723083
Step-by-step explanation:
Answer: 2x + 3
Step-by-step explanation:
sue = x
maria = 2x
maria + 3
2x +3
Answer:
∆<em>LMN</em> ~ ∆<em>LQR</em>
Step-by-step explanation:
All you have to do is match their similar corresponding angles.
* These are congruent by the Angle-Angle Similarity Postulate, where at least two angles of both triangles are congruent, which in this case is ∠<em>L</em> [Vertical Angles Theorem] and ∠<em>Q</em> & ∠<em>M</em>. This obviously gives us our third side in each triangle, which must sum up to 180° altogether, therefore you have your answer.
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Total of 25 cakes
Tina : placed 0.24.....24%
Dora : placed 9 out of 25.....9/25 = 36%
Wilson : placed 20%
Kane: placed the remainder ...100% - (24% + 36% + 20%) = 20%
Dora placed the most
The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
