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1 year ago

What is the value of x

Mathematics

1 answer:

pav-90 [236]1 year ago

7 0

Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.

If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.

Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).

If RT is 4, then RQ must also be 4.

Answer: x = 4

Hope this helps!

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(a)A train completed a journey of 850 kilometres with an average speed of 80 km/hr.

Yanka [14]

Answer:

a. 850/85 = 10.625 hr or 10 hr 37 min 30 sec

b. 6:08 AM

C. Average time is (10.625 + 10.8)/2 = 10.7125

or 10 hour 42 min 45 sec

6 0

2 years ago

A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f

dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0

2 years ago

5 times 395 using properties of operations

DochEvi [55]

Hello there!

Answer: ⇒⇒=1975

_______________________________________________________

Step-by-step explanation:

First you had to multiply by the number.

$395*5=1975$

1975 is the right answer.

___________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

______________________________________________________________

6 0

2 years ago

Melissa drove 715 miles in 11 hours.

s344n2d4d5 [400]

Answer:

455 miles driven in 7hrs

Step-by-step explanation:

715miles divided by 11 hrs= 65 miles per hr

65 miles multiplied by 7 hrs= 455 miles driven in 7hrs

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2 years ago

Find the value of x. (3x+20) º 12°

PolarNik [594]

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

7 0

2 years ago

Read 2 more answers