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2 years ago

What is the approximate value of X?! Help ASAP please

Mathematics

2 answers:

ziro4ka [17]2 years ago

6 0

Triangles are similar

x/5=12/13
13x=60

x=60/13
x=4.615
x=4.62

Option E

pashok25 [27]2 years ago

3 0

Answer:

Both of the triangles are similar but they look like they have been rotated a bit. Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13. Therefore we can just set up an equation and cross-multiply.

$\frac{x}{5} = \frac{12}{13}$

$(x * 13) = (5 * 12)$

$13x = 60$

Divide 12 from both sides

$13x/13 = 60/13$

$x=4.615$

Best option would be <u>Option E, 4.62</u>

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The driving distance between Manchester and London is 195 miles. Farris intends to travel from Manchester to London by coach. Th

sammy [17]

Answer:

Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm

Step-by-step explanation:

Driving distance between Manchester to London = 195 miles

Coach left Manchester = 3.30 pm

Average speed of coach = 50 mph

Total time taken by the coach to reach the Manchester to London = 195÷50 = 3.9 h

0.9 h = 0.9×60 mnt = 54 mnt

Now,

3.9 h = 3 h 54 mnt

Hence Faris' arrival time in London = 3.30 pm + 3 h 54 mnt = 7.24 pm

3 0

3 years ago

Read 2 more answers

PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must s

dmitriy555 [2]

Answer:

15°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.

A regular 12-sided polygon is a polygon with 12 equal sides and angles.

The sum of interior angles of a polygon is given as:

sum = (2n - 4)90; where n is the number of sides of the polygon

For a 12 sided polygon:

Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°

Therefore since all the angles are equal, each angle = 1800° / 12 = 150°

Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x

Therefore in triangle PQR:

∠PQR + ∠PRQ + ∠QPR = 180°

150 + x + x = 180

150 + 2x = 180

2x = 30

x = 15°

∠PRQ = 15°

6 0

3 years ago

Need helpppppp!!!!!!

uysha [10]

These are 45-45-90 triangles, whose hypotenuses are $\sqrt{2}$ times their legs. Given a side of length 1, for example, the diagonal length is $\sqrt{2}\approx 1.4142.$ The first few ordered pairs $(x,y)$ in the table would be $(1,1.41),(2,2.83),(3,4.24),(4,5.66),...$