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aksik [14]
3 years ago
10

Use the given figure to complete the statement below. m∠COB and m∠ __ are equal. please help me

Mathematics
1 answer:
Brut [27]3 years ago
6 0

Answer:

BOA

Step-by-step explanation:

angle COB = 80 - 60 = 20

angle BOA = 60 - 40 = 20

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A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud
mafiozo [28]
<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145
4 0
3 years ago
Marissa wrote her bike to the park and back up halfway to the park she stopped at the library she was one 310 miles from the lib
erastovalidia [21]

Answer:

5 1/5 miles

Step-by-step explanation:

Given that :

Library is located halfway between park and home ;

Distance between library and park = 1 3/10 miles

Hence, total distance between park and home :

1 3/10 + 1 3/10 = 2 6/10

The distance driven :

Home to park ; park back home

2 6/10 + 2 6/10 = 4 12/10

4 + 12/10 = 4 + 1 2/10

= 5 2/10

= 5 1/5 miles

3 0
2 years ago
Use a Venn diagram to answer the question. A survey of 180 families showed that 67 had a​ dog; 52 had a​ cat; 22 had a dog and a
Mice21 [21]

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a​ dog, and in addition did not have a​

 parakeet

- 4 had a​ cat, a​ dog, and a parakeet (4 is a part of 22 and 22 is a part

 of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

 C represented the cat

 D represented the dog

 P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

 dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

 parakeet only had a families

- The common part between the circle of the cat and the circle of the

 parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

  45 - a families

  had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =  

  30 - b families

  had cats only

- The non-intersected part of the circle of the parakeet had c families

  had parakeets only

- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

5 0
3 years ago
Help! Solve the system of linear equations by substitution. Check your solution.
Nina [5.8K]
-2y=11-x
-7x+11-x=-13
-8x=-24
x=3
-2y=11-3
-2y=8
y=-4
8 0
2 years ago
Lakeview is 101 miles from Springfield. Irania must go to the law library in Springfield to get a document for the law firm for
Arlecino [84]

Answer: Approximately 4.1224 hours

4.1224 hours = 4 hours, 7 minutes, 21 seconds approximately

===========================================

Work Shown:

d = distance = 2*101 = 202 miles

r = rate or speed = 49 mph

t = time = unknown

d = r*t

202 = 49*t

49t = 202

t = 202/49

t = 4.1224 hours approximately

--------------

If you want to convert to hours,minutes,seconds, then...

4.1224 hours = 4 hours + 0.1224 hours

4.1224 hours = 4 hours + (0.1224*60) min

4.1224 hours = 4 hours + 7.344 min

4.1224 hours = 4 hours + 7 min + 0.344 min

4.1224 hours = 4 hours + 7 min + (0.344*60) sec

4.1224 hours = 4 hours + 7 min + 20.64 sec

4.1224 hours = 4 hours + 7 min + 21 sec ..... approximate

4.1224 hours = 4 hours, 7 min, 21 sec .... also approximate

Note: this time value is driving time only. It does not take into account any time spent at the law library or any other stops.

4 0
3 years ago
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