Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72

Answers

Answer 1

Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is [tex]90^{0}[/tex]

Let the smaller angle be [tex]x[/tex]

Other angle is [tex]90-x[/tex]

We have

Two complementary angles are in the ratio [tex]3: 2[/tex]

[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]

Smaller angle is [tex]36^0[/tex]

Option B is the correct answer


Related Questions

The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answers

Find the number of eggs in 7 crates:

1 crate = 12 eggs

7 crates = 12 x 7 = 84 eggs

Add the 8 eggs in their fridge:

84 + 8 = 92 eggs

Answer:

93

Step-by-step explanation:

7*12=84

84+9=93

In angle PQR, angle P = (4x – 14)º, angle Q = (5x + 6)", and angle R= (x - 2)°. Find
angle R.

Answers

we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>

Please help me pleaseeee
I’ll give brainliest

Answers

Square root sign pie sign - 17
Sorry it’s not the best

What is the value of b in centimters?

Answers

I estimate about 27 cm

have a nice dayyyy

PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!

Answers

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?

Answers

1638595973726949577273

What are the steps to complete a dialation (in geometry) ?

Answers

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

Make me brainlest.

I need answers to both of the questions Please help

Answers

Answer:

131 minutes, an = 15 + (n - 1)(4)

Step-by-step explanation:

each time she is increasing by 4 minutes

we can write this equation like this since we have the difference and the first part:

an = 15 + (n - 1)(4)

note

"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom

we can plug in this equation to find ace of 30 (a30)

15 + (30 - 1)(4)

15 + 29*4

116 + 15

a30 = 131

Answer:

1.) 192 minutes

2.) If it's the 9th day : 69 minutes

If it's the 10th day : 64 minutes

Step-by-step explanation:

1.) 5th Day - 32 minutes

32*6= 192 minutes on the 30th day.

2.) If it's the 9th day -

3rd Day - 23 minutes

23*3= 69 minutes

2.)If it's the 10th day -

5th day - 32 minutes

32*2= 64 minutes

is it Substitution or linear combination?​

Answers

Answer:

Substitution

Step-by-step explanation:

You would solve this system using the substitution method as one of the variables are define.

In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.

stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.

Answers

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

(WILL GIVE BRAINLIEST)


The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y

Answers

Answer:

y=3/4x-5.5 this should be your answer

Step-by-step explanation:

sorry of im wrong

have a wonderfull day!

Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!

Answers

Answer is D 4,3 !!!!!!!!!!!!!!!

the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks

Answers

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

Help! 100 points! I'm also giving brainiest to whoever gives a correct answer to the following questions or nonetheless a solid explanation behind their answer. Thank you and comment for any concerns or issues!

Answers

Step-by-step explanation:

1a)

it means that after 14 hours into the experiment the temperature of the liquid reaches exactly the temperature of the surrounding room at that moment : 10° F.

1b)

it is the point (14, 10), and I know, because both lines touch or cross each other at that point, as due to the equality relation both curves contain this point (meaning they have the same result value 10 for the same function argument 14).

4a)

because the slope of the line segment at the end is larger (making the line go up at a much steeper angle) than fire the line segment at the beginning.

4b)

it looks like the experiment started at hour 0 with the liquid being at around -5° F.

and it reached +10° F after about 10 hours.

the x (time) difference is +10 (from 0 to 10).

the y (temperature) difference is +15 (from -5 to 10).

so, the slope at the beginning of the excitement is about +15/+10 = 3/2.

and at the end of the experiment it looks like the last line segment starts at about 20 hours with the liquid at about -3° F. and it ends at hour 30 and at 30°F.

the x (time) difference is +10 (from 20 to 30).

the y (temperature) difference is +33 (from -3 to 30).

so, the slope at the end of the excitement is about +33/+10, which is much bigger than 15/10 at the beginning.

An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.

Answers

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

please help me to get the answers please read my questions​

Answers

Answer: Where is the question.

Step-by-step explanation: Where is the question.

You’re question is not on your account so where is it? If u can please comment it

I NEED HELP QUICK ‼️‼️‼️ PLEASE

Answers

Answer: no

Step-by-step explanation:

the angle is too steep

Write 24 as a product of prime factors.

Answers

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

May I please receive help?

Answers

Answer:

a = 19.6 (rounded to the nearest tenth)

Step-by-step explanation:

a^2 + b^2 = c^2

Hypotenuse - 35 m, Legs - 29 m, x

a^2 +29^2 = 35^2

a^2 + 841 = 1225

Subtract 841 from both sides

a^2 = 384

Square root both sides

√a^2 = √384

a = 19.595

Determine the measurement of the missing angle

Answers

Answer:

31

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

simplify 10^9 divided by 10^7

Answers

Step-by-step explanation:

10^9 ÷ 10^7

10^9-7

10^2

10^2 is the correct answer

Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.

Answers

Answer: Adelita

Step-by-step explanation:

because if its going in order of the names by jobs then its adelita

Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder

Answers

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

Answers

Answer:

0.5160

Step-by-step explanation:

Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

number of samples

From the information given,

µ = 15

σ = 4

n = 31

We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as

P(14.5 ≤ x ≤ 15.5)

For x = 14.5

z = (14.5 - 15)/(4/√31) = - 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.2420

For x = 15.5

z = (15.5 - 15)/(4/√31) = 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.7580

Therefore,

P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160

8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8

Answers

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

FIND THE MISSING VALUES

Answers

Answer:

i think x = 17

Step-by-step explanation:

(2x-4)+(3x+20)+(5x-6) = 180°

10x+10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

please help me I have no idea what I'm doing :(​

Answers

Answer: A. 100%

Step-by-step explanation:

If each quadrilateral below is a rectangle, find the missing measure.​

Answers

JMK = 54
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!

BRAINLIEST
Please answer these

Answers

12.

Answer: 30.25π

11π = circumference

diameter * π = circumference

diameter = 11

radius = 5.5

Area = 5.5 * 5.5 * π

Area = 30.25π

13.

Answer: 52π

Area = radius * radius * pi

Area = 676π

Radius = 26

Diameter = 2 * radius

Diameter = 52

Circumference = 52π

14.

Answer: 38π

Area = radius * radius * pi

Area = 1134.11

Radius ≈ 19

Diameter = 38

Circumference = 38π

15.

Answer: 72.25π

Circumference = diameter * π

53.41 = diameter * π

Diameter ≈ 17

Radius = 8.5

Area = radius * radius * π

Area = 72.25π

Answer:

Step-by-step explanation:

Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.

Answers

Answer:

9

Step-by-step explanation:

9 pillows per hour i believe

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