There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?

Red: 161 White: 77

Step-by-step explanation:

Given there are 238 marbles in a jar, and there are 42 more red marbles than white marbles, we need to divide the number of marbles by two, as there are, presumably, two colors.

238 / 2 = 119

After doing this, we subtract 42 from one of the two 119s, and we add 42 to the other.

119 - 42 = 77

119 + 42 = 161

The value with 42 added is the red marble count, and the value with 42 subtracted is the white marble count.

good luck!

cutie~

∠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.