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8_murik_8 [283]
3 years ago
12

Find the value of x ​

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

D. 4

Step-by-step explanation:

angles 9 and 7 are congruent!

because of that you can make this equation:

1. 9x + 5 = x + 37

2. 9x - x = 37 - 5

3. 8x = 32

4. x = 4

D would be the correct answer!

skelet666 [1.2K]3 years ago
5 0
^^ ya what they said
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Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
MrMuchimi

Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

3 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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The volume of a cone varies jointly with the area of the base and the height. when the area of the base is
strojnjashka [21]
The volume of a cone varies jointly with the area of the base and the height of the cone.

V = kAh

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone

The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)

Now we can find k, the constant of proportionality.

V = kAh

54 = k * 27 * 6

k = 54/(27 * 6)

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The formula is

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Now we use the second set of info, the height and the volume, and we find the area of the base.

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124 = \dfrac{1}{3} \times A \times 12

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