The factored form of 10xy - 15y is 5y(2x - 3)
<em><u>Solution:</u></em>
Given that, we have to write the given expression in factored form
<em><u>Given expression is:</u></em>
10xy - 15y
To find the factored form, let us first find the greatest common factor of 10 and 15
The factors of 10 are: 1, 2, 5, 10
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 5
Thus, factor out 5 from given expression
Now factor out the common term "y"
Thus the factored form is found
Answer:
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
