Write and solve an equation to represent the given situation. be sure to define your variable.
samantha currently has $1500 in the bank and is spending $35 per week. how many weeks will it take until her account is worthy only $915?

17 weeks

Step-by-step explanation:

Let x= Number of week.

y= balance amount in account

Given :  Samantha currently has $1500 in the bank and is spending $35 per week.

Rate of spending =  $35 per week

Spending in x weeks = $35x

As per the given statement , the required equation will be :-

Balance Amount = Current amount - Rate of spending x Number of week

For y= 915, we have

Subtract 915 from both sides and 35x to both the sides , we get

Hence, it will take 17 weeks until her account is worthy only $915.

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.