1st question: ∠G = 180 - (104+33) = 43°. According to the picture, we can claim that. Indeed, we considered that ∠N= ∠H.
2nd question: In order to carry out this transformation, using similarity transformation the following steps must be applied
1) From the center of the second circle to the center of the first circle, a vector has to be drawn
2) The second circle must be carried to the first circle by this vector.
3) Finally, the transformation is done by this dilation. Indeed, everything comes to the theorem for the similarity of the circles that all circles are similar.
And the scale factor is
A = 210 + 20(h - 7) <== ur equation
if she earns 410 tutoring...
410 = 210 + 20(h - 7)
410 = 210 + 20h - 140
410 = 20h + 70
410 - 70 = 20h
340 = 20h
340/20 = h
17 = h <=== she spent 17 hrs tutoring
1. We are given:
The only a which squared gives you 64 is 8. The perimeter of an 8 by 8 square will be 32. Half of that is 16. Now, let's see what we can do. We can set up:
Obviously, each side length has to be 4. So, the area of this square will be
16 units².
2. Let n equal her son's age. So, her age right now will be (S = her age):
1 year ago it was:
We have 2 equations, let's substitute. We can rewrite this as:
Solve for n:
We know the value of n, which is her son's age. So, her son is
1/15 of a year old or about 24 days old.
Answer:
60
Step-by-step explanation:
The problem will be solved by looking for the least common multiple (LCM) of the amounts of all four kinds since they want equal amounts of each.
LCM is defined as the smallest positive integer that is divisible by each of the integers (spring flowering bulbs in this case) involved in the operation.
therefore, we are looking for the LCM of the following integers:
Crocus: 6
Tulip: 4
Daffodil: 3
Hyacinth: 5
The first step to calculate the LCM is to factor each integer (to break it up into numbers that can be multiplied together to get the original number) and express them in terms of powers:
Crocus: 6=2*3
Tulip: 4=2*2=
Daffodil 3 = 3 (prime numbers only have themselves as factors)
Hyacinth 5=5 (prime numbers only have themselves as factors)
Now, To calculate the LCM we need to multiply all factors we have found ( in this case 2, 3, and 5) but only once and with the maximum power.
This means the least number of each spring flowering bulbs that they can buy to buy equal amounts is 60.
Now this will cost:
Crocus: 
Tulip: 
Daffodil: 
Hyacinth: 
Answer:
honestly this is a very poorly worded question...
it can be interpreted in several different ways....
the cost of the house (for them to purchase it) was
$129,625 + $18,375 = $148,000
The total amount that they paid for the house (money spent)
was
$129,625 + $18,375 + $273,116 = $421,116
all being said I think that the $148,000 is the answer that the question
is trying for you to figure out
Step-by-step explanation:
