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taurus [48]
3 years ago
9

What is the value of X

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
\dfrac{6}{9}=\dfrac{x+3}{3+9}\\
\dfrac{2}{3}=\dfrac{x+3}{12}\\
3(x+3)=24\\
x+3=8\\
x=5
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It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes.
Mamont248 [21]

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate =  30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will  be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90  - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max

read more: brainly.com/question/18594378?referrer=searchResults

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3 years ago
Which expression is equivalent to 2x - 10y + 9y - 11x ?​
elena-s [515]

Answer:

-9x - y

Step-by-step explanation:

Combine like terms.  That is, combine all the x terms and then, separately, combine all the y terms.

2x - 10y + 9y - 11x   =   -9x - y (answer)

3 0
3 years ago
Triangle ABC is rotated 100° counterclockwise about point P to create ΔA′B′C′. What is m∠C′A′B′
gizmo_the_mogwai [7]

Answer:

Angle CAB

Step-by-step explanation:

Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.

A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.

Here fixed point is P and angle is 100 degrees

The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.

In other words, by rotation here ABC will be similar to A'B'C'

Hence angles of ABC will remain equal to angles of A'B'C' in that order.

So m/_ C'A'B'=m /_CAB

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3 years ago
Find the value of Sin^-1(-√3/2)
garri49 [273]

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

6 0
3 years ago
What is 1/2 divided by 4?
Natasha_Volkova [10]
1/2/4=1/2 x 1/4 = 1/8
8 0
3 years ago
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