Use the following image to answer the questions. 1) How are the triangles similar? Justify your answer with a theorem or postulate. 2) What is the value of X? Show your work. (Will Mark Brainliest and No Nonsense Answers Or You'll Be Reported).]

1) Similar triangles has same angles and their sides are in equal proportions.

In ∆ABC and ∆PQR,

<A = <P (Given)

<B = <Q (Given)

Thus, <C = <R

Hence, ∆ABC ≈ ∆PQR by AAA condition.

2) We know that,

Thus, the value of x is 5 units.

Hope this helps :)

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.