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2 years ago

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Mathematics

2 answers:

Semenov [28]2 years ago

6 0

The answer is<u> C) x = 25; 107 degrees </u>

Temka [501]2 years ago

3 0

Answer:

The correct option is C.

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

$3x+32+x+48=180$

$4x+80=180$

$4x=180-80$

$4x=100$

$x=25$

The value of x is 25.

The measure of two consecutive exterior angles are

$3x+32=3(25)+32=107$

$x+48=25+48=73$

The measure of the larger angle is 107 degrees.

Therefore the correct option is C.

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Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Marysya12 [62]

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

5 0

2 years ago

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A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

marissa [1.9K]

100 total people......35 exercise in the morning....45 in the afternoon...and 20 at night

Jim is correct.....
35/100 is the ratio of people who exercise in the morning to total people.
45/100 is the ratio of afternoon exercisers to total people
20/100 is the ratio of night exercisers to total people

7 0

2 years ago

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A plane left Chicago at 8:00 A.M. At 1: P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average sp

Naddika [18.5K]

I belive the correct answer would be 300 mp/h

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1 year ago

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Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t

jasenka [17]

Answer:

a. 30%

b. $893.59

$\frac{(351.10-x)}{893.59}\times 100\%$

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

$\% labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%$

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

$F_c=212.52+427.35+75\\\\=714.87$

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

$Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59$

Hence, she spends $893.59 on furniture.

c.To get what percentage of furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

$x+y=Furniture\ cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x$

The percentage is then calculated as:

$\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%$

Hnece the percentage cost of the night stand is $\frac{(351.10-x)}{893.59}\times 100\%$

7 0

2 years ago

Describe in words the surface whose equation is given. (assume that r is not negative.) θ = π/4

Delvig [45]

An equation in the form $\theta=\dfrac{\pi}{4}$ is the line
that goes through the origins and whose tangent equates $\dfrac{\pi}{4}$ . In general, any equation in the form $\theta=\theta_0$
is the equation of a line.

7 0

2 years ago