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LUCKY_DIMON [66]
3 years ago
10

Please help. i need steps and everything

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

x = 13, y = 24.

Step-by-step explanation:

5x - 8 + 63 + 7x - 31 = 180  (interior alternate angles are equal).

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12

x = 13.

4y + 27 =  63 + 7x - 31       (interior alternate angles are equal).

4y +27 = 32 +7(13)

4y = -27 +32 + 91

4y = `96

y = 96/4

y = 24.

 

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Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
Virty [35]

Answer:

V1 = 60 km/h

V2 = 40 Km/h

Step-by-step explanation:

The speed of an object is defined as

Speed =  distance / time

Let

V1 be the speed of the faster car

V2 be the speed of the other car

t1 the time it took for the first car to arrive

t2 the time it took for the second car to arrive

d1 the distance traveled by first car

d2 the distance traveled by second car

We know thanks to the problem that

V1 = V2 + 20 Km/h

t1 = t2 - 1 hour

d1 = d2 = 120 Km

d1 = V1 * t1

d2 = V2* t2

V1 * t1 = V2* t2

V1* t1 = (V1 -20)*(t1 +1)

The system of equations

(V1 -20)*(t1 +1) = 120

V1 * t1 = 120

120 + (120/t1) -20*t1 = 140

(120/t1) -20*t1  = 20

Which gives,

t1 = 2

This means

V1 = 60 km/h

V2 = V1 - 20 Km/h =  40 Km/h

6 0
3 years ago
Which equation is equivalent to 5x = In 8?
emmainna [20.7K]

Answer:

5x= in 8

Step-by-step explanation:

There is no other equation so i hope this is right

4 0
3 years ago
15 points to answer this question
Mamont248 [21]

it is none since there is no relation

4 0
3 years ago
Read 2 more answers
Check
asambeis [7]

Answer:

Step-by-step explanation:

An equation contains a sign equality (=) between two expressions.

And an expression is a simple algebraic statement.

By these definitions,

          Equations                          Expressions

         x = 2x + 5                            21x - 13 + 11x

         \frac{1}{2}x=5+3                           -3.7x - 13  

         3x + 1 = -2.1                          \frac{1}{2}x+5

7 0
3 years ago
Wally had two more marbled than ashan and together they have 88 marbles how many marbles does ashan have
labwork [276]
Represent as
w=wally
a=ashan
so wally has 2 more marbles than ashan
w=2+a

together they have 88
w+a=88

since w=2+a, subsitute (2+a) for w in the w+a=88 equation
2+a+a=88
add like terms
2+2a=88
subtract 2 from both sides
2a=86
divide by 2
a=43

ashan has 43 marbles
5 0
3 years ago
Read 2 more answers
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