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umka2103 [35]
4 years ago
5

A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpo

int of side AB

Mathematics
1 answer:
Leno4ka [110]4 years ago
7 0
Answer: The midpoint of AB should be (3,8)

Explanation: Try drawing the triangle using the information given and find the midpoint of AB then measure it

The pic is not drawn to scale but just to get an idea

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spin [16.1K]

Answer:

7. 5

8. 33. 3333 or 100/ 3

9. 18/7

10. 30 /7

5 0
3 years ago
At the Denver zoo, adult admission is $15 and children's is $9 a group of 12 people go to the zoo. Their total admission was $15
Natasha2012 [34]

Answer:

The number of adults admitted at the zoo=7

The number of children admitted at the zoo=5

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=12

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=12...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$150

cost per child=$9

number of children=c

cost per adult=$15

number of adults=a

replacing;

(15×a)+(9×c)=150

15 a+9 c=150...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(15 a+9 c=150)

-

9(a+c=12)=9 a+9 c=108

(15 a-9 a)+(9 c-9 c)=(150=108)

6 a=42

a=42/6

a=7

replacing the value for a in equation 1

7+c=12

c=12-7=5

The number of adults admitted at the zoo=7

The number of children admitted at the zoo=5

3 0
4 years ago
a car traveling at a constant speed travels 175 miles in 4 hours? How many minutes will it take for the car to travel 1000 feet?
liubo4ka [24]

Answer:

0.26 minutes

Step-by-step explanation:

So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.

We know that there are:

5280 ft in a mile

60 minutes in an hour

We then convert the rate knowing this:

\dfrac{174\:miles}{4\:hours}\times\dfrac{5280ft}{1\:mile}\times\dfrac{1hour}{60\:minutes} = \dfrac{918,720ft}{240\:minutes} = \dfrac{3828\:feet}{1 minute}

In short, the car is traveling 3,828 ft every minute.

To determine how many minutes it will take for the car to travel just remember that:

speed=\dfrac{distance\:travelled}{time}\;\rightarrow\;time=\dfrac{distance\;travelled}{speed}

Now we plug in what we know and solve what we don't know:

time=\dfrac{1000feet}{\dfrac{3828ft}{1minute}}\;\rightarrow\;1000ft\times\dfrac{1\:minute}{3828ft}=0.26\:minutes

3 0
3 years ago
If you were to solve the following system of equations by using a matrix which of the following would be your coefficient matrix
Pie

Answer:

15X2V

Step-by-step explanation:

8 0
3 years ago
Can someone help’ it’s due today pls help pls pls
hjlf

Answer:

MQP = 138

Step-by-step explanation:

Since the angle bisector always divides the angle in half exactly, we know both of the angle measures we have are the same, and set it up like this: 5x + 19 = 2x + 49 (subtract 2x from both sides) 3x + 19 = 49 (subtract 19 on both sides) 3x = 30 (divide by 3) x = 10

Substitute that x value (10) into the original equations in place of x for each angle to get MQN = 69 and NQP = 69

Add the two values to get 138. MQP = 138

4 0
3 years ago
Read 2 more answers
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