Answer:
#5 - C
#7 - A
Step-by-step explanation:
If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.
In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).
#5:
Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77
#7:
Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5
The effective rate is calculated in the following way:

where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
Answer:
y=(-1/3) x - 3
Step-by-step explanation:
A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3. Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6). Distribute the -1/3 and get y+5= -1/3 x+ 2. Subtract 5 from both sides and get y=-1/3 x - 3
The value of M equals 70°
Answer:
You firstly multiply 25,5cm with 20cm equals to 510cm then you divide it with 150 equals 3,4cm
Step-by-step explanation:
(25.5cm × 20cm) ÷ 150cm
≈510cm ÷150cm
≈3,4