Look at each pie differently, there is 3 cherry between the four families so that is 3/4 cherry
and 2 apple so 2/4 which can be simplified to 1/2
so your answer is b
here's the solution,
we know that, sum of <u>measures</u> of each interior angle of a <u>triangle</u> = <u>180°</u>
<u>F</u><u>igure</u><u> </u><u>1</u><u>.</u>
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<u>Figure</u><u> </u><u>2</u><u>.</u><u> </u>
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<u>Figure</u><u> </u><u>3</u><u>.</u>
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There are a lot of fraction that can be equal to the values given above. It can be as follows:
<span>1/5 = 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, 8/40
4/7 = 8/14, 12/21, 16/28
6/30 = 12/60, 18/90, 24/120
5/15 = 1/3 , 10/30, 20/60
Hope this helps. Have a nice day.</span>
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
One of the triangle inequalities state that the sum of any 2 sides must be larger than the third side. More importantly, the sum of the smaller two side must be longer than the largest side. So your smaller 2 sides are 1.5 and 2......which has a sum of 3.5. Your third side is 4. So the sum of the 2 sides is NOT greater than the third side.....so these cannot be the sides of a triangle. Hope this helped.
