The product of a number minus ten and nine equals fifty when decreased by seven. which equation represents the sentence? a.7(x - 10) - 9 = 50 b.7(10 - x) - 9 = 50 c.9(x - 10) - 7 = 50 d.9(10 - x) - 7 = 50

Answer : C is the right answer.

Given statement: The product of a number minus ten and nine equals fifty when decreased by seven equals fifty when decreased by seven.

let the number be x then

The product of a number minus ten and nine =9(x-10),[which means option A and B are incorrect]

According to the statement

9(x-10)-7=50, which is the C option

Therefore C is the right option.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco