Answer:
<h2>For the first triangle, <u>x equals 22cm.</u></h2>
Here's how:-
x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

The base is 120cm and the hypotenuse is 122cm
Putting this in the equation, we get:-



= 484
altitude = 
<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>
Answer:
18,72
Step-by-step explanation:
Complementary angles add to 90 degrees
Multiply the ratio by x
1x+4x = 90
Combine like terms
5x = 90
divide by 5
5x/5 = 90/5
x =18
The first angle is 18 degrees
4*18 =72
The second angle is 72 degrees
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
Answer: the answer is A
Step-by-step explanation:
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