Let's translate each sentence into "Math".Pineapple = pOrange = xis means equal Pineapple is 7 times as heavy as an orange: p = 7xPineapple weighs 870 grams more than orange. p = 870 + x Substitute p = 7x into the second equation:7x = 870 + xSubtract x from both sides6x = 870divide by 6x = 145 The orange weighs 145 grams.The pineapple weights 7 times the orange = 7(145) = 1015 grams.
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Answer:
Step-by-step explanation:
we have ΔLMN as our parent triangle, where M=90°. Another triangle ΔPQR is formed which was dilation of ΔLMN with a factor of one and half that is 1.5
We are also given that the center of dilation is M itself . Hence the point Q of the ΔPQR overlap with the M.
Now let us see the image attached with this. The Line LM and MN are extended further till Point P and R respectively.
If LN = x and MN = y
PM = 1.5x and MR = 1.5y
as the scale of dilation is 1.5
Now let us see the the ratio of the sides of the two triangles.
Hence the ratio of the sides is same. There for the triangles are similar to each other.
135 feet is the length of the yard
