Answer: Angie = 6, Jemma = 18
<u>Step-by-step explanation:</u>
Let x represent the current age of Angie
Current Age Age 5 years from now
Angie: x x + 5
Jemma: 3x 3x + 5
5 years from now the sum of their ages is 34
(x + 5) + (3x + 5) = 34
4x + 10 = 34
4x = 24
x = 6
Angle's current age is x = 6
Jemma's current age is 3x = 3(6) = 18
since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.
2x - 24 = x - 2
x = 22.
<em>Answer:</em>
<em>$0.38 per yard</em>
<em>Step-by-step explanation:</em>
<em>Step 1:</em>
Given; A 9-yard roll of string that costs $3.42.
Required; To find the unit price
<em> Step 2:</em>
Convert $3.42 to cents

<em>Step 3:</em>
<em>Find the unit price</em>




<em>Convert to dollars</em>


Hence the unit price is $0.38 per yard.
Answer: Choice A
Note: the range should be
. See explanation below.
===================================================
We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that
and that translates to the interval notation
.
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote
for choice A, when they should have written 
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.