Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
Answer: See the screenshots below
I'm answering in this format because the questions aren't numbered, so its hard to reference them consistently (so we're both on the same page).
All decimal values are approximate. I decided to round to 4 decimal places, but feel free to use another level of precision.
2:5, or 2/5
since we know that the larger one is 150 cubic cm,
we already know our denominator.
150/5=30, so 2x30=60 (cubic cm).
60/150=2/5 or 2:5
Answer:
x < -3
Step-by-step explanation:
Isolate the x. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 6 from both sides.
4x + 6 (-6) < -6 (-6)
4x < -6 - 6
4x < -12
Next, divide 4 from both sides.
(4x)/4 < (-12)/4
x < -12/4
x < -3
x < -3 is your answer.
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Hello!
In this question, we can relate the definition of similar polygons to the side lengths.
If two given polygons are similar, that means that each corresponding side is multiplied by a certain, equivalent ratio to get the side length of the other side.
That means that we can take any side length ratio and set it equal to a ratio including the unknown side length.
Hope this helps!