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lana66690 [7]
1 year ago
12

Last answers 5 Let me know the answer fast

Mathematics
1 answer:
Nataly_w [17]1 year ago
6 0
By vertical angles theorem,
5x+15=6x-10
25=x

Hope this helped :)
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It takes Lucas 3 hours to cycle from his home to his friends village but if travels 5 mph slower, it will take him 1.5 hours lon
Alika [10]

The distance from friend's village to Lucas's house is 45 miles

Step-by-step explanation:

Lets assume the distance from Lucas home to friend's village is x miles

The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁

The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂

t₂=4.5 hrs

t₁= 3 hrs

Speed for cycle in first instance, where t₁=3 hrs and distance is x miles

s₁=d/t = x/3 mph

Speed for cycle if travelling at a slower speed,

s=\frac{x}{3}-5

Time taken in the second instance when travelling at a slower speed

=\frac{x}{\frac{x}{3}-5 }=4.5\\ \\\frac{3x}{x-15} =4.5\\\\\\3x=4.5(x-15)\\\\3x=4.5x-67.5\\\\\\67.5=4.5x-3x\\\\\\67.5=1.5x\\\\\\67.5/1.5=x\\\\\\45=x

The distance from friend's village to Lucas's house is 45 miles

Learn More

Formula for speed:brainly.com/question/13664094

Keywords: cycle,home, village, travels,slower,longer

#LearnwithBrainly

6 0
3 years ago
Which is the correct step below for using the grouping method to factor the following polynomial? 8x - 6 - 12x2 + 9x
IrinaVladis [17]
8x - 6 - 12x^2 + 9x

2(4x-3)-3x(3x-3)

=> (2-3x)(3x-3)

=> 3(x-1)(2-3x)
4 0
2 years ago
Read 2 more answers
If I get paid every two weeks and I work 5 days every week I get paid 7.25 and work ten hours each day how much will my check be
Svetradugi [14.3K]
The total is 362.5 every two weeks
7 0
3 years ago
Which of the following is considered one of the undefined terms of geometry?
cupoosta [38]
The answer is a line segment
7 0
3 years ago
What procedure will find the sum a+b of two numbers where a and b represent any integer?
ElenaW [278]

Answer:As rational number includes natural number, whole number ,integers  also.

⇒Natural number(1,2,3,4....) is a rational number also.

So, when A= Natural number , B=Any other natural number

Just add two natural number using simple law of addition.

⇒As Whole numbers(0,1,2,3,...) are Rational number also.

So If A=any whole number, B=Any other whole number

Add the whole number in any order using law of addition.

⇒Coming to integers (....-123,....-5,...-1,....12,....59,.....) By taking any two integers ,

1. Both of them are positive add using simple law of addition.

2. One of them is positive and other is negative , if larger one has positive sign before it just subtract smaller one from larger one and put positive sign before the result.and if larger one has negative sign before it ,subtract smaller one from larger one and put negative sign before the result.

⇒If both of them are negative , just add the two integers and apply negative sign before the result.

4. Rational number as fractions ,

A=m/n and B=p/q

A+B=m/n + p/q

find LCM of n and q.

If n and q are co-prime multiply n and q to get the LCM.For example if n=5, q=7, then LCM=5×7=35

If n and q are not co-prime find the factors of n and q .take out the common factors and then multiply the common factors with those factors which are not common.

For example, n=15, q=20

15=5×3

20=2×2×5

common factor=5

non common factor=2,2,3

LCM=5×2×2×3=60

Suppose LCM(n,q)= K

⇒p/q+m/n

=

So ,

which is the way to find LCM of rational number when theyare fractions.

Step-by-step explanation:

4 0
2 years ago
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