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NikAS [45]
3 years ago
14

Please help! Give the answer and how you got it, i have a test tomorrow!!

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

Answer:

56.25

Step-by-step explanation:

We know that both of the angles m<KPN and m<OPN must add up to 90 degrees

We can create an equation as follows

90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m

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What is the product?
Airida [17]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to
vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

3 0
3 years ago
Read 2 more answers
Enter an equation that can be used to solve this problem, where x represents the number of hours that Roberto had been traveling
matrenka [14]
Roberto's parents will catch up to him once each of them traveled same distance. Therefore equation would look like this:

30*h=45*(h-1)    

h-1 because Roberto's parents will travel 1 hour less in total

30*h = 45*h - 45
15*h = 45
h = 3.

Roberto's parents will catch Roberto up at 2 P.M.
4 0
3 years ago
Read 2 more answers
Show work and show answer as a mixed number for 6x+11-16x=-21
kondaur [170]
6x + 11 - 16x = -21
6x-16x = -32
-10x = -32
x = -32/-10
x = 3.2
4 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST!!List the sides of ∆DEF in order from shortest to longest if m∠D = 20, m∠E = 120, and m∠F = 40.
zvonat [6]

Answer:

In triangle DEF:

Given:  m\angle D = 20^{\circ} ,  m\angle E= 120^{\circ} and  m\angle F = 40^{\circ}

To list the sides of a triangle in order from shortest to longest.

In the Figure as shown below :

If one of the angle of a triangle is larger than, then the sides opposite the larger angle is longer than the side opposite to the shorter

m\angle D < m\angle F < \angle E

\text{EF} < \text{DE}

Therefore, the list of the sides of a triangle DEF in order from shortest to longest is, \text{EF} < \text{DE}

7 0
3 years ago
Read 2 more answers
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