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Setler [38]
2 years ago
6

Given: circle O with tangent AB mBC= 2x -16; mCD = x+40; mDE = x; mEB = 60 find the x

Mathematics
1 answer:
murzikaleks [220]2 years ago
6 0

Answer:

69

Step-by-step explanation:

All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

(2x - 16) + (x + 40) + x + 60 = 360

4x + 84 = 360

4x = 276

x = 69

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Simon took out a zero-interest loan for $3,300 to buy a boat. He must pay $300 per month to pay off the total balance of the boa
Andru [333]

Answer:

After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.

Step-by-step explanation:

ending loan's principal balance = beginning loan's principal balance - number of months x $300

or we can simplify it:           l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x

l₁ = ending loan's principal balance

x = number of months

ending savings account balance = beginning savings account balance + number of months x $600

or we can simplify it:         s₁ = s₀ + 600x ⇒  s₁ = 1,000 + 600x

s₁ = ending savings account balance

x = number of months

account balances for months

                                    month 1        month 2         month 3         month 4

boat loan                     $3.000         $2,700          $2,400           $2,100

savings account          $1,600         $2,200          $2,800           $3,400

4 0
2 years ago
Read 2 more answers
In a group of 1500 people, 585 have blood type A, 165 have blood type B, 690 have blood type O, and 60 have blood type AB. What
deff fn [24]
When calculating probability you need to remember that probability is:
something that you are observing divided by total number of participants.
The number you get is relative value(has value between 0 and 1) and if you want to get it in percentage (more clearly) just multiply it with 100.

In this case we are observing blood type B persons. Number of them is 165.
Total number of persons is 1500. Therefore our calculation looks like this:

165/1500 = 0.11    or  the probability is 0.11*100=11%
6 0
2 years ago
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Which image (A'B'C'D') of ABCD cannot be produced using only reflections? A. B. C. D.
liberstina [14]

Answer:

the answer is D

Step-by-step explanation:

3 0
2 years ago
If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

6 0
2 years ago
A supermarket soup can display consists of 5 levels of
serg [7]

A supermarket shop cans display consists of 5 levels of  stacked cans. In the display, each level has  4 more cans than the level above it-the total number of cans in display are (b) 100

Step-by-step explanation:

Given that ,

The display consists of 5 levels of  stacked cans- <u>which means that there are 5 levels in which the stacked cans are displayed .</u>

so,the no:of levels are 5

Now given that level has  4 more cans than the level above it.

so. the number of cans in a single level = 5*4=20

Now we know that the total number of level is 5  so we multiply 20 withe the number of levels of can stacked

==>20*5=100

<u>Thus we can say that the total number of cans in display are (b) 100</u>

8 0
2 years ago
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