Line segment AB is perpendicular to CB Ray BD disects /ABC .What is m /DBC​

Answers

Answer 1

Answer:

The measure of angle DBC is 45°.

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

Notice that angle ABD and DBC are congruent.

Also, those angles are complementary, which means

[tex]\angle ABD + \angle DBC = 90\°[/tex]

And we know that [tex]\angle ABD = \angle DBC = x[/tex]

So,

[tex]x+x=90\°\\2x=90\°\\x=\frac{90\°}{2}\\ x=45\°[/tex]

Which means that [tex]\angle DBC = 45\°[/tex]

Therefore, the measure of angle DBC is 45°.

Line Segment AB Is Perpendicular To CB Ray BD Disects /ABC .What Is M /DBC
Answer 2

Answer:

< DBC is [tex]45^{0}[/tex]

Step-by-step explanation:

The line segment AB perpendicular to CB implies that a right angle is formed at point B. So that, AB and CB meets at B at [tex]90^{0}[/tex] to each other. Since the ray BD bisects <ABC, i.e it divides <ABC into two equal parts.

Thus,  

           [tex]\frac{90^{0} }{2}[/tex]  = [tex]45^{0}[/tex]

Therefore, < DBC = [tex]45^{0}[/tex]

and                  < DBC =  < ABD = [tex]45^{0}[/tex]

These two angles are said to be complementary angles. Complementary angles are set of two or more angles that add up to [tex]90^{0}[/tex].


Related Questions

The distribution of the values of a population is shown below, and a simple random sample is drawn from th
Based on this information alone, can the sample be used to make inferences about the population?
No, because the population values appear to be normally distributed.
No, because the population values do not appear to be normally distributed.

Answers

Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Answer:

c) yes, because the population values appear to be normally distributed

Step-by-step explanation:

edge 2021

compounded monthly P=\$2,000 , r=3\% , t = 5years

Answers

2000(1+3%)^5
=$2318.548149

If u need the interest you gained then
2318.548149-2000
=$318.548149
Final answer:

To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.

Explanation:

To calculate the compound interest, we can use the formula:

A = P (1 + r/n)^(nt)

Where:

A = final amount

P = principal amount ($2,000)

r = annual interest rate (3%)

t = time in years (5 years)

n = number of times the interest is compounded per year (12 for monthly compound interest)

Plugging in the values, we have:

A = 2000 (1 + 0.03/12)^(12*5)

Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.

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factor the expression 3x^2 - 15x
i will mark brainliest

Answers

Step-by-step explanation:

The table of three and x is common

So

3x ( x + 5)

Is the answer

Answer: -3

Step-by-step explanation: 3 times 4 - 15

What is the sum of all the exterior angles for a 99-gon?*

Answers

Answer:

360

Step-by-step explanation:

The sum exterior angles of any number of side polygon is always 360

What is the factored form of x2 – x – 2?

Answers

Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

Which number results in a true sentence in 0.475 < ______ ? a.) 0.473 c.) 0.475 b.) 0.474 d.) 0.476

Answers

Answer:

D.) 0.476

Step-by-step explanation:

The < sign means 'less than'. The only thing that .475 is less than is .476

A word processing program requires a user to enter a 7-digit registration code made up of the digits 1,2,4,5,6,7 and 9. Each number has to be used, and no number can be used more than once. How many codes are possible?

Answers

For the first digit there are 7 choices. For the second digit there are 6 choices (because we can't use the same one again). And so on, until there is only one choice for the last digit.

The number of possible codes is this:
7*6*5*4*3*2*1 = 7! = 5040

Final answer:

To find the number of possible codes, we can use the concept of permutations. There are 7 digits to choose from and we need to select all of them. Therefore, there are 5,040 possible registration codes.

Explanation:

To find the number of possible codes, we can use the concept of permutations.

Since the code must be made up of 7 digits and each digit can only be used once, we can calculate the number of permutations of the 7 digits. The formula to use is nPr = n! / (n - r)!, where n is the total number of elements and r is the number of elements to be selected.

In this case, there are 7 digits to choose from and we need to select all of them.

So we plug in n = 7 and r = 7 into the formula:

nPr = 7! / (7 - 7)! = 7! / 0! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

Therefore, there are 5,040 possible registration codes.

If 18 is more than 2 times a number is -10, what is the number

Answers

Answer:

-14

Step-by-step explanation:

-10-18=-28 -28/2=-14

What are the a b and c values of 3x^2-4x=20

Answers

Answer:

[tex]a = 3, b = -4, c = -20[/tex]

Step-by-step explanation:

Step 1:  Find the a, b, and c values

[tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 4x - 20 = 0[/tex]

The a value is:  3

The b value is:  -4

The c value is:  -20

Answer:  [tex]a = 3, b = -4, c = -20[/tex]

what are the sum of the two pink angles?

Answers

Answer:

45 degrees

Step-by-step explanation:

Cos(330degrees) how is it solved ?

Answers

I don’t know lol but good long finding the answer

Step-by-step explanation:

Put your calculator this trigonometric function and you will get root of 3 over 2.

How ?

Circle is 360° and this angle is more closely to complete the circle, but 330 is on 4th square ( +x,-y).

I hope that it's a clear explanation.

plz help me i don't get how to do this​

Answers

Answer:

4. -84

5. 480

6. -910

Step-by-step explanation:

product means multiply.

neg x neg = pos

neg x pos = neg

Answer:

The product is multiplication

Step-by-step explanation:

12 times -7= -84

-24 times -20= 480

-130 times 7= 910

Remember a negative times a positive is a negative and a negative times a negative is a positive

Chris is putting a new baseboard in his room . The bed is 15 meters long and the 9/10 meters wide . What is the area of the baseboard?

Answers

Answer:

The area of the baseboard is 13.5m²

Step-by-step explanation:

Given data

Length of the bed L=15m

Width of of the bed B=9/10m

Area of the board A=?

We know that the area of the board

Area A=length x width

Substituting our given data we have

A=15*9/10

A=135/10

A=13.5m²

Hence the area of the board is 13.5m²

Final answer:

The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.

Explanation:

In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.

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Please help with what goes in these blanks

Answers

Answer:

See bold face answers below.

Step-by-step explanation:

If c^2 = a^2 + b^2, then the triangle is a right triangle.

If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.

If c^2 < a^2 + b^2, then the triangle is an acute triangle.

Always keep "c" on the left side to avoid confusion when classifying.


Find the quotient z1/z2, of the complex numbers. Leave your answer in polar form.

z1 = 20( cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69)
Choose the correct answer below.
A. 4(cos 48° + i sin 48°)
B. 4[(cos 54°- cos 6°)+i (sin 54°- sin 6°)]
c. 4{cos 9° + i sin 9°)
D. 4(cos 54° sin 6° + i sin 54° cos 6)​

Answers

Answer:

A: 4(cos 48° + i sin 48°)

Step-by-step explanation:

The step by step working:

z1 = 20(cos 54° + i sin 54°)

z2 = 5( cos 6° + i sin 69°)

z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)

= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)

= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]

= 4(cos 48° + i sin 48°) (Using sum and difference identities)

The answer is A: 4(cos 48° + i sin 48°)

Find the sum and write it in standard form
(6x^3+3x^2+3)+(2x^3−5x+1)

Answers

Answer:

[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Step-by-step explanation:

[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

28 out of the 35 magazines at the bookstore are woman's magazines.what percentage of the magazines are woman's magazines

Answers

Answer: 80% of the magazines are women's magazines

Step-by-step explanation: (28÷35)× 100/1= 80%.

if the mean is 120 and the standard deviation in 24 what is the score that is 3 standard deviations above the mean

Answers

Answer:

192

Step-by-step explanation:

If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.

192 is the score that is 3 standard deviations above the mean.

What is standard Deviation?

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 120

Standard Deviation = 24

So, the score for 3 standard deviations above the mean

= 24(3) + 120

= 72 + 120

= 192.

Hence, 192 is the score that is 3 standard deviations above the mean.

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Eleven less than a number is more than seventeen.

Answers

Answer:

x-11 > 17

Step-by-step explanation:

You have to set the equation up as an equality, if you want the simplified answer it would be x > 28

Please answer this correctly

Answers

Answer:

3:30 pm

Step-by-step explanation:

Games : 1 hour

Cleaning : 1 hour

Homework: 30 minutes

Total time

1+1+ 30 minutes

She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

Answer:

1:00 pm + 1 hr = 2:00pm

2:00pm + 1 hr= 3:00pm

3:00pm +30 mins = 3:30 pm

Which is the graph of the linear inequality y < 3x + 1?

Answers

Start at +1 on the x axis and then use 3/1 for rise over run. So you will start at +1 and then from that point rise 3 run 1

Answer:

The last graph, aka D.)

Step-by-step explanation:

Sorry for the extremely late response,

Hope this helps ppl of the future. ;))

~nxmbus

Maria is painting a mural on a brick wall. She is painting 4 circles with radii of 2 inches, 4 inches, 9 inches, and 14 inches. How much paint will she need to fill in all four circles?


She will need ____? square inches of paint for all the circles.

Answers

Answer:

932.58 in ^ 2 is needed

Step-by-step explanation:

What we need to do is calculate the area of all the circles and add it up, so we know how many square inches of paint are going to be needed.

We know that the area of a circle has the following formula:

A = pi * r ^ 2

there are 4 circles:

radio of 2 inches:

A = 3.14 * 2 ^ 2 = 12.56 in ^ 2

radio of 4 inches:

 A = 3.14 * 4 ^ 2 = 50.24 in ^ 2

radio of 9 inches:

A = 3.14 * 9 ^ 2 = 254.34 in ^ 2

radio of 14 inches:

A = 3.14 * 14 ^ 2 = 615.44 in ^ 2

12.56 + 50.24 + 254.34 + 615.44 = 932.58

a total of 932.58 in ^ 2 is needed

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space, m, end text. With each swing, she travels along an arc that is half as long as the arc of the previous swing.

Answers

Answer:

24*(1-0.5^n)/0.5

Step-by-step explanation:

Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplication (3x7) even though the order is “M”, “D” in the acronym?

Answers

Because is division is before multiplication you have to do division even though the m is before d.

Sally is making a recipe that needs 3 1/4 cups of sugar. Each scoop she adds contains 1/8 cup of sugar. How many scoops of sugar does she need to add for the entire recipe?

Answers

Answer:

26

Step-by-step explanation:

you are needing to find out how many 1/8 are there in 3 1/4...so you divide

13/4 divided by 1/8

13/4 x 8/1

104/4

26

Answer:

26 .

Step-by-step explanation:

I need this quickly if at all possible. I´ll giver brainliest to the first answer!

A certain medication comes in the form of a capsule, as shown below. The fluid inside the capsule contains several ingredients, including the active medication.

What is the volume of the capsule? Round to the nearest tenth.

V = ____ mm3

If the density of the active medication in the liquid is
0.7 mg/mm3, how many milligrams of the active medication are in one capsule?
Round to the nearest tenth.

_____ mg

Answers

Answer:

mme 3 is 20

Step-by-step explanation:

i dont like to do work

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Edge

What is the equation of the line that goes through the points (0, 7) and (1, 9)? y=7x+2 y=2x+7 y=7x+9 none of the above

Answers

Answer:

2x + 7

Step-by-step explanation:

0,7 is the y intercept, so plus 7 is a given

0,7    1,9    use rise/run

9-7/1-0 = 2/1

so 2x + 7

(01.01 LC)

Which of the following is a rational number? (1 point)

square root of 36, square root of 37, square root of 38, square root of 39
Group of answer choices

square root of 36

square root of 37

square root of 38

square root of 39

Answers

Answer:

Square root of 36.

Step-by-step explanation:

The square root of 36 = 6  so this is rational.

Recall that a rational number is one that can be written as a/b  where a and b are not 0. 6 can be written as 6/1.

Answer:

6

Step-by-step explanation:

The square root of 36 is 6

Steven rolls a 6-sided nombre cube 3 times.What is the probability of rolling a multiple of 3 on all the rolls?​

Answers

The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].

To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.

Total outcomes for each roll = 6 (since there are 6 sides on the cube).

Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).

Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].

Since each roll is independent, we multiply the probabilities of each roll:

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]

So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].

Solve for w in terms of v, x, and y.

v= -[tex]\frac{1}{X}[/tex] YW

W=

Answers

Answer:

W = - [tex]\frac{vx}{Y}[/tex]

Step-by-step explanation:

Given

v = - [tex]\frac{1}{x}[/tex] YW

Multiply both sides by x to clear the fraction

vx = - YW ( multiply both sides by - 1 )

- vx = YW ( divide both sides by Y )

- [tex]\frac{vx}{Y}[/tex] = W

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