Mathematics High School

In the diagram, mBDA = 150°. Find mBDC.

Answers

Answer 1

Answer:

a. 70°

Step-by-step explanation:

m∠BDC + m∠CDA = m∠BDA

-3x + 34 - 2x + 56 = 150

-5x + 90 = 150

-5x = 60

x = -12

m∠BDC = -3x + 34 = -3(-12) + 34

= 36 + 34 = 70°

Related Questions

Necesito un dibujo donde se muestren los ángulos agudos obtusos rectos y llanos

Answers

Answer:

El dibujo se encuentra adjuntado al término de este documento, después de las explicaciones previas.

Step-by-step explanation:

Por Geometría sabemos lo siguiente:

Angulo recto - Dos semirrectas con origen común y cuya medida angular es mayor a 0° y menor a 90°.

Angulo obtuso - Dos semirrectas con origen común y cuya medida angular es mayor a 90° y menor a 180°.

Angulo recto - Dos semirrectas con origen común y cuya medida angular es igual a 90°.

Angulo llano - Dos semirrectas con origen común y cuya medida angular es igual a 180°.

Finalmente, presentamos un dibujo representativo de los cuatro tipos de ángulos.

Cardania bought a car for $12,000 ten years ago, and it has been depreciating (decreasing in value) at a rate of 8% per year since she drove it off the showroom floor.
How much is the car worth today (10 years after her purchase)?

Answers

Answer:

The car is worth about 5212.66$ 10 years after her purchase.

Step-by-step explanation:

12000(1-0.08)^10=5212.661451

HELP! plz I can't find the aswer

Answers

Answer: 2(n+8)

Explanation: n +8 = adds 8
Multiply by 2 => Doubles the sum of n+8

Please answer correctly! I will mark you Brainliest! The pictures go together!

Answers

Answer: the volume of the cone is 21 inches cubed

Step-by-step explanation:

Answer:

65.97 or 65.96

Step-by-step explanation:

follow this picture and i want you to know that sometimes if you look it up and put in the info, it will be 1 or 2 off. sometimes it’s right. the actual formula for finding volume is V= 1/3h(pi)r and to the second power.

now i have no clue if i did this right but i will let you follow your instinct and whatever anyone else says! i’m sorry if this isn’t helpful but i tried by best at describing :)

Find the area of the following figure below. Use 3.14 for pie

Answers

Answer: 113.1 i think sorry im bad at pi U_U

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

Where rinding area so do the formula

A = Pi×r²

A = 3.14×36

A= 113.04

Need help on this one I really don’t get this

Answers

its 0 cause 0 divided by any number is 0 but if it was 15/0, then it would be undefined

Sidney has $100 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 3 years?

Answers

Answer:

130 dollars

Step-by-step explanation:

This time I don't think I done messed it up

Have a good day!

(h + 1) cm 6 cm A Write and solve an equation to find the value of h Include all of your work in your answer. B. In two or more complete sentences, verify your answer using mental math. 2

Answers

Answer:

See below

Step-by-step explanation:

we are given opposite and adjacent if the given right angle triangle

we want to make an equation with the given information

Part-1:

notice that adjacent is greater than opposite so we can only take 30° as our angle

hence,

using trigonometric property

our equation is

[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]

we took tangent function because we know that tangent function is the ratio of opposite and adjacent

now let's solve the equation

recall unit circle:

[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]

cross multiplication:

[tex]3(h + 1) = 6 \sqrt{3} [/tex]

divide both sides by 3:

[tex]h + 1 = 2 \sqrt{3} [/tex]

cancel 1 from both sides:

[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]

Part-2:

by using mental math

The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h

now this question verifies the equation

because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle

by solving the equation we'll again get our answer

What is the area of the rectangle below?
5/6 m H
2/3 m L

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

A = 0.55 or 5/9

Step-by-step explanation:

Area = HL

A = (5/6)(2/3)

A = 0.55 or 5/9

help I will give brainiest if you do the last ones

Answers

Can A can hold more than can B

What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)

Answers

Answer:

Step-by-step explanation:

Which sequence is geometric?
O 5, 15, 25, 35, ...
O 5, 10, 20, 40, ... *
O 6, 12, 18, 24, ...
O 7, 14, 21, 28, ...

Answers

Answer:

0, 5, 10, 20, 40, ... *

Step-by-step explanation:

geometric sequences require a common ration and the only sequence with a common ratio is B. common ratio is 2

CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 144 dollars, and that the population is normally distributed. You will use a simple random sample of 99 auto insurance policies. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that a single randomly selected policy has a mean value between 934.8 and 965.2 dollars. P(934.8 < X < 965.2) = Enter your answer as a number accurate to 4 decimal places

Answers

Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.

To find probability we can use the properties of the normal distribution.

Given,

Mean (μ) = $958

Standard deviation (σ) = $144

Sample size (n) = 99

We want to find the probability P(934.8 < X < 965.2). X represents the mean value of a randomly selected policy.

Calculate z-score for the lower value.

z1 = (934.8 - μ) / (σ / sqrt(n))

Calculate z-score for the upper value.

z2 = (965.2 - μ) / (σ / sqrt(n))

Cumulative probability between the z-scores.

P(934.8 < X < 965.2) = P(z1 < Z < z2)

If P(Z < z1) = 0.2658. P(Z < z2) = 0.8477. The probability of interest would be.

P(934.8 < X < 965.2) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.8477 - 0.2658 = 0.5819

Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.

Learn more about Probability:

https://brainly.com/question/28421855

#SPJ4

Write the number for thirteen million thirty thousand

Answers

Answer:

13,030,000

Step-by-step explanation:

write first the value for thirteen millions,

13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two

13 000 000

+ 30 000

=. 13 030 000

Answer:

13,030,000

Step-by-step explanation:

13,000,000

+ 30,000

13,030,000

How to find the arc length (geometry)

Answers

Answer:

94.2

Step-by-step explanation:

Arc length is basically circumference.

Circumference formula: 2πr

All we need is the radius.

Radius = r

15 x 2 = 30 (diameter)

Then we are going to multiply by pi.

Arc length = 30π OR 94.2

Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the
coordinate point (0,b)

Slope= -6/5
Y-Intercept = 2
Point-Slope Form:

Answers

Answer:

y - 2 = -⁶/₅x

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is: y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2 ⇒ point (0, 2) ⇒ x₁ = 0, y₁ = 2

Point-Slope Form: y - 2 = -⁶/₅(x - 0)

which of the following expressions are equivalent to -2/3? select all that apply

A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4

Answers

Answer:

Step-by-step explanation:

-1/9×6=

-1/9×6/1= -6/9 = -2/3

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

-8/9 × 3/4 = -24/36 = -2/3

The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

child = $14

senior = $8

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

52 - 38 = 14

child = $14

3s + 14 = 38

3s = 24

divide by 3

senior = $8

I NEED HELP PLSSSSS I WILL MARK BRAINLEIST <3

Answers

the answer is C...... ....

C. .....

What is the slope of the line shown in the graph?

Answers

Answer:

1/2

Step-by-step explanation:

from point to point, you rise by one and run to the right by two

therefore, slope = 1/2

can someone please answer these
*will give brainliest if you answer all* AND NO LINK

Answers

Answer:

Rectangular Prism → h = 2in

B = 143in

P = 48in

Surface Area = 382in²

Lateral Surface Area = 96in²

Triangular Prism → h = 7in

B = 20in

P = 27in

Surface Area = 229in²

Lateral Surface Area = 189in²

Triangular Prism → h = 10in

B = 120in

P = 60in

Surface Area = 840in²

Lateral Surface Area = 600in²

Step-by-step explanation:

Formulas: Total Surface Area = 2B = Ph

a²+b²=c²

Area = [tex]\frac{1}{2}[/tex]bh

Lateral Area = Ph

PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)

Some instructions for the time it takes to roast a turkey are: allow 20 minutes for every 450g
How long will it take to roast a turkey that weighs 6.3 kg?
Give your answer in hours and minutes.

please show work out <3

Answers

Answer:

4 hours and 40 minutes

Step-by-step explanation:

450g = kg

450g = 0.45 kg

We will use ratios:

[tex]\frac{20}{0.45} =\frac{x}{6.3} \\\\0.45x=126\\x=280[/tex]

280 mins =

4 hours and 40 minutes

4(60) + 40

240 + 40

280

You spin the spinner twice what is the probability of landing on a three and then landing on a number greater than three

Answers

Answer:

2/4

Step-by-step explanation:

Please someone help it confusing

Answers

1.false2.false3.true4.true5.true

If a square had a area of 49cm^2 then what would be the perimeter?

Answers

392 cm is your answer if I did the question right

Someone help plz and make plz make sure it’s right? :)

Answers

40/50 = 4/5
ANSWER C
GOOD LUCK

52 )7,696 with reminder

Answers

it’s equals 148 with no reminder.

have a great day!

What is the volume of a cylinder with base radius 333 and height 666?

Answers

Answer:

V=πr2h=π·3332·666≈2.32013×108

Step-by-step explanation:

true or false inequalities have many solutions and equations have one solution

Answers

Answer:

Step-by-step explanation:

Like systems of equations, system of inequalities can have zero, one, or infinite solutions.

Answer:

Yes this is true..............................................................................................................................

Yuri's homework grades for the 4th six-weeks were as follows: 67, 71, 49, 82, 87, 91, 78 What is the mean (average) of the following set of data? Round your answer to the nearest tenth of a decimal (one decimal place).

Answers

The mean of the data set would be 75.

Other Questions

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(b) A 6-month 70-strike call option on the same stock has a price of $15, and a 6-month 90-strike call option on the same stock has a price of $7. Show that at least one of the options mentioned in this question is mispriced by constructing a portfolio that allows you to effect arbitrage using: the 70-strike call option; the 80-strike call option in part (a); and the 90-strike call option. Assume that you can borrow and lend at the risk-free rate and that there are no transaction costs.(c) Suppose the stock's annual volatility is 30%. Using a 3-period binomial tree model, calculate the price of a 6-month 60-strike call option. Apparel Leasing Company signs a lease agreement on January 1, 2021, to lease equipment to Oman Company. The term of the non-cancelable lease is & years, and payments arerequired at the end of each year. The following information related to this agreement:1. 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