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3 years ago

An angle measures 72 degrees more than the measure of its complementary angle what is the measure of each angle

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Good evening

Answer:

<h2>measure of Angle 1 = 81°</h2><h2>Measure of angle 2 = 9°</h2>

Step-by-step explanation:

we need to solve this system

x + y = 90 (1)

x = y + 72 (2)

If we substitute x by y+72 into the equation (1) we will get

(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9

then x = 90 - 9 = 81

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The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately 0.7. What is the probability

victus00 [196]

Answer: 0.2401

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.

Number of trials : n= 4

Now, the required probability will be :

$P(x=4)=^4C_4(0.7)^4(1-0.7)^{4-4}\\\\=(1)(0.7)^4(1)=0.2401$

Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401

5 0

2 years ago

Help please brainlist and points

melomori [17]

A= 3.1 and b= 2.5 hope this helps

3 0

3 years ago

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of

frosja888 [35]

The speed of the plane will be equal to 240 Mph.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.

The speed of the plane was 170 mph faster than the speed of the car.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp = Tc

1200 / x+170 = 350 / x

1200x = 350x + 59500

850x = 59500

x = 59500 / 850

x = 70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0

2 years ago

Kris has a bag that contains only red marbles, green marbles, and purple marbles.

bekas [8.4K]

chance of getting red is 8/25

1,000/25 = 40

8 x 40 = 320

ANSWER : D. 320

8 0

3 years ago

Read 2 more answers

F(x) = 6x2 + 2x − 7 and g(x) = 4x − 3. <br> a. (f+g)(x)<br><br> b. (f-g)(x)

ELEN [110]

Answer:

a) (f+g)(x) = 6x^2 +6x -10

b) (f-g)(x) = 6x^2 -2x -4

Step-by-step explanation:

a. (f+g)(x) = f(x) +g(x) = (6x^2 +2x -7) +(4x -3)

(f+g)(x) = 6x^2 +6x -10

b. (f-g)(x) = f(x) -g(x) = (6x^2 +2x -7) -(4x -3)

(f-g)(x) = 6x^2 +2x -7 -4x +3

(f-g)(x) = 6x^2 -2x -4

8 0

3 years ago