Rays DA and DC are perpendicular. Point B lies in the interior of {angle]ADC. If m[angle]ADB = (3a + 10) degrees and m[angle]BDC = 13a degrees, find a, m[angle]ADB, and m[angle]BDC

Answers

Answer 1

Applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

What is the Angle Formed by Perpendicular Lines?

When two lines intersect perpendicularly at a point, they form a right angle, which is equal to 90 degrees.

Thus, angle ADC is a right angle. Therefore, angles ADB and BDC are complementary angles. This means that:

m<ADB + m<BDC = 90°

Substitute

3a + 10 + 13a = 90

16a + 10 = 90

16a = 90 - 10

16a = 80

16a/16 = 80/16

a = 5

m<ADB = (3a + 10) = 3(5) + 10 = 25°

m<BDC = 13a = 13(5) = 65°

Thus, applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

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Rays DA And DC Are Perpendicular. Point B Lies In The Interior Of {angle]ADC. If M[angle]ADB = (3a +

Related Questions

30 points
how do i solve 4x -1

Answers

Answer: QV=31 units ==> 3rd option

Step-by-step explanation:

SV=QV   ==> Congruent segments are equal

4x-1=QV

TQ=TS   ==> Congruent segments are equal

26=3x+2

26-2=3x+2-2

3x=24

x=8

4x-1=QV

4(8)-1=QV

32-1=QV

QV=31 units ==> 3rd option

Fill in the gap to factorise -16z - 12 = −4(-

Answers

Answer:

- 4(4z + 3)

Step-by-step explanation:

- 16z - 12 ← factor out - 4 from each term

= - 4(4z + 3)

HELP URGENT!! EVERYTHING INCLUDED IN PHOTO!!

Answers

Answer:

Part A is 63-7.5

Step-by-step explanation:

What number must be added to both the numerator and the denominator of the fraction 2/3 to get the fraction 7/8?

Answers

Answer:

Step-by-step explanation:

Answer is 5

2 + 5  = 7

3 + 5     8

What is the approximate value of the 16th percentile of corn yield for counties in iowa?

Answers

16th percentile of corn yield for counties in iowa is 153.4.

What is percentile?

In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.

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what is the answer to this problem?

Answers

10

_

8

Step-by-step explanation:

corect me if i wrong

솓ㄱㄷ 샤 냐 :)
THERE...........

Answers

Answer:

60 percent

I think it is 60 but you might need a more certifyd answer

Answer:  250%

==================================================

Explanation:

A is 40% of B

This translates to the equation A = 0.40B or A = 0.4B

This is because 40% converts to 0.40 in decimal form

Let's divide both sides by 0.4 to isolate B

A = 0.4B

A/0.4 = B

B = (1/0.4)A

B = 2.5A

This shows that B is 250% of A

------------

Another approach:

40% = 40/100 = 2/5

"A is 40% of B" is the same as "A is 2/5 of B

So,

A = (2/5)*B

5A = 2B

2B = 5A

B = 5A/2

B = (5/2)A

B = 2.5A

which is another way to show that B is 250% of A

Consider the function f(x) = x² + 3x - 7. Find the value of f(x) when x = 3 and select the correct answer below. (5 points)
05
8
11
18

Answers

Answer: 11

(3)^2 + 3(3) - 7
9 + 9 - 7
18 - 7

PLEASE DONT STEAL MY POINTS AND BEST ANSWER GETS BRAINLEST.


A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.


Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)


Part B: Find the falcon's rate in meters per hour. (3 points)


Part C: Find the falcon's rate in kilometers per hour. (3 points)


Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)

Answers

The answers are :

Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.

Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.

rate = distance/time.

Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.

Rate = 800,000 ÷ 4

Rate = 200,000 meters per hour.

Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.

Rate = 200,000 ÷ 1000

Rate = 200 kilometres per hour

Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.

Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate

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a function is a relation in which each possible input value leads to exactly one output value. the input values make up the range and the output values make up the domain

Answers

A relation between sets is referred to as a function when there is exactly one output for each input.

Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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Pls pls help whoever gets it right gets a crown

Answers

Answer: -104y^2 + 52y

Step-by-step explanation:

-13y(8y-4)=

-13y*8y - 4(-13y)= ==> distribution property

-13*8*y*y - (-52y)=-104y^2 + 52y    

asgt 2.2 7 of 77 of 7 items on a number line, a is at 5 and b is at 50. point x is the midpoint. point t is 2/3 of the way from x to b. determine the coordinate of point t. distance of xb =

Answers

On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.

A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.

If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.

If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.

let n = AX = XB

AB = AX + XB

45 = n + n

45 = 2n

n = 22.5

AX = XB = 22.5

If point T is 2/3 of the way from X to B, then

T = 2/3XB

T = 2/3(22.5)

T = 15

Hence, the coordinates of T is at 15 and the distance of XB is 22.5.

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I need help with the delta math order signed number (level 2) Drag the numbers below to put them in order from least to greatest

Answers

The numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

Here, we are given 6 numbers-

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

Now, we can add as many zeroes as we want after the decimal, it does not change the value of the number.

Thus, let us make all the numbers 3 digit decimal numbers

2.200,  2.276,  2.291,  2.140,  2.260,  2.221

Here, all the numbers have 2 in the units place, so we just need to compare the decimals

The first digit after decimal is 2 in all the numbers except 2.140, thus it is the smallest.

Then, the second digit after decimal is 0 in 2.200, thus it is the next smallest number.

By similar logic, looking at the second digit after the decimal only we can arrange the remaining numbers as 2.221, 2.276, 2.260, 2.291.

Thus, the numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

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Your question was incomplete. Please check for full content below-

Drag the numbers below to put them in order from least to greatest

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

I need help with these questions

Answers

Answer:

17. (2/5)

19. (-7/3)

21. (2/3)

Step-by-step explanation:

17.

    5            5             1

- -------n + ------n = - ------

    2            4             2

    5 (2)       5             1 (2)

- -------n + ------n = - ------

    2 (2)       4             2 (2)

   10            5             2

- -------n + ------n = - ------

    4            4             4

   10            5             2

(- -------n + ------n = - ------) (4)

    4            4             4

-10n + 5n = -2

-5n = -2

÷ -5 ÷-5

n = (2/5)

----------------------------------------------------------------------------------------------------------

19.

 3           15           21

-------n - -------n = -------

 2             4           4

 3 (2)      15           21

-------n - -------n = -------

 2 (2)       4            4

  6           15           21

(-------n - -------n = -------) (4)

  4             4           4

6n - 15n = 21

-9n = 21

÷-9   ÷-9

n = (-7/3)

----------------------------------------------------------------------------------------------------------

21.

     1                    5

- -------n - n =  - -------

     4                   6

   1 (3)               5 (2)

- -------n - n =  - -------

   4 (3)               6 (2)

     3                   10

- -------n - n =  - -------

    12                   12

     3                      10

(- -------n - n =  - -------) (12)

    12                      12

-3n - 12n = -10

--15n = -10

÷-15    ÷-15

n = (2/3)

----------------------------------------------------------------------------------------------------------

I hope this helps!

The sum of two consecutive integers is 187. Find the integers.​

Answers

the answer is 93 and 94
93, and 94

dividing the sum by two, you can find
the two integers together. Subtracting 1
from one of the halves(In this case, 0.5, as
187/2 is 93.5),

Describe how to graph the solution of

Answers

The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given the inequality,

y ≤ −x² + 2x

The inequality consists of two functions,

y ≤ -x² and y ≤ 2x

Now if we plot both inequalities

x = 0 ⇒ y = 0

And,

2x ≤ -x²

-x²/x ≥ 2

x ≤ -2

So,

y ≤ 2(-2)

y ≤ -4

If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.

Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.

Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".

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Solve the equation. 2(5 – 7) = 1

Answers

Answer:

False

Step-by-step explanation:

Distribute, do the math, and evaluate the resulting equality/statement to see if it is true

10 - 14 = 1

-4 = 1

That is not true so the answer is false

HELP ! (Order of Operations with Radicals MC) Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.

Answers

1) The square root of 16 is 4, and 4 times 3
squared so 4 times 9 is 36
5.0
2) The cube root of -27 is -3
So butting both step 1) and 2) together, you get
the equation: 36--3=39
And lastly you divided 39 by 2 squared so 4
= 39/4

pls help me
Which expression is equivalent to -5 + 6
A:-5+6
B:5+6
C:5-6
D:6-5

Answers

Answer:

-5+6 = 1

6-5 = 1

therefore, the answer is D.

Answer:

D

Step-by-step explanation:

-5+6=+1

and 6-5=+1

since both are equal to 1

D is the answer

What is the product of −2 1/4 and 2 1/2?
help me

Answers

The problem is asking for the product, meaning we need to multiply.

-2 1/4 * 2 1/2

To make multiplying easier, we can convert the mixed numbers into improper fractions.

2 * 4 = 8, + 1 = 9/4

2 * 2 = 4, + 1 = 5/2

Now, we have this:

-9/4 * 5/2

Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.

-9/4 * 1 = -9/4

5/2 * 2 = 10/4

Now, we have this:

-9/4 * 10/4

We can now multiply!

-9 * 10 = -90

/4 * /4 = /16

= -90/16

You can simply the improper fraction if you'd like.

-90 / 16 = -5.625

So, our answer is -90/16, or -5.625.

Kiara has $250 in her bank account. Each week she deposits $80 and withdraws $35. Gael has $310 in his account. Each week he deposits $95 and withdraws
$20. Write and solve an equation to determine the week w when Gael and Kiara have the same amounts of money in their account

Answers

The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let w represent the number of weeks.

For Kiara:

Money in account = (80 - 35)w + 250 = 45w + 250

For Gael:

Money in account = (95 - 20)w + 310 = 75w + 310

For both to have same amount of money:

45w + 250 = 75w + 310

The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

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Line c passes through points (5, 1) and (9, 8). Line d is parallel to line c. What is the slope of line d?

Answers

The slope of line d is m =7/4.

Given c points (5,1) and (9,8).

and the d line is parallel to line c.

We have to find the slope of d.

The slope formula is to determine a line's slope or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Slope m = rise/run =[tex]=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here, [tex](x_{1} ,y_{1} )=(5,1) and (x_{2} ,y_{2} )=(9,8)[/tex]

We get slope by substitute this points in m value.

m=(8-1)/(9-5)

m=7/4

Therefore, the slope m=7/4.

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Help me asap this due in like a hour

Answers

Answer:

A: 2

B: 5

C: 4

D: 3

E: 1

Step-by-step explanation:

Looks right to me :)

The answer to Gprahing systems of equations

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x can you help please

Answers

Answer:

x = 13

Step-by-step explanation:

23 - 9 = 14

14 / 2 = 7

So both sides should equal to 7.

Set the two expression equal to each other and solve.
x - 6 = 2x - 19

move the 6 to the other side by adding

x = 2x - 19 + 6

x = 2x - 13

then move 2x to the other side by subtracting

x - 2x = -13

-x = -13

divide both sides by -1 to get x

x = -13/-1

x = 13

Check.
plug 13 in for x

x - 6

13 - 6 = 7

2x - 19

2(13) - 19

26 - 19 = 7

so both expressions are equal to each other now and

7 x 2 = 14

14 + 9 = 23

thus x = 13

A farmer has 120 bushels of apples to sell at his stand. he sells an average of 16 3/5 bushels each day. represent the total change in the number of bushels he has for sale after 7 days

Answers

The total change in the number of bushels he has for sale after 7 days = 116.2

In this question,

A farmer sells an average of 16 3/5 bushels each day.

We write above improper fraction 16 3/5 in proper fraction as 83/5

And the decimal form of given fraction 83/5 is:

83/5 = 16.6

After 7 days, he would sold (16 3/5) × 7 bushels.

We simplify an expression (16 3/5) × 7

(16 3/5) × 7 = 16.6 × 7

                  = 116.2

As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.

Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2

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a school authority claims that the average percentage marks of students is 68. a researcher has taken a well–designed survey and his sample mean is 64.5 and sample standard deviation is 2. the sample size is 300. which statement is correct?

Answers

The statement B is correct, i.e., The result of the survey is statistically significant.

What is statistical significance?

The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.

Given:

Average percentage of students = 68Sample mean of researcher = 64.5Sample standard deviation = 2Sample size = 300

To find: WHich of the given statements is correct?

Finding:

According to the given data,

We can infer that there is a statistically significant result because our findings from a large sample size and relatively small standard deviation show that 64.5 is much lower than the average 68. Additionally, it differs practically.

Hence, the statement B is correct, i.e., The result of the survey is statistically significant.

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(COMPLETE QUESTION:

A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?

a.)

The difference exists due to chance since the test statistic is small.

b.)

The result of the survey is statistically significant.

c.)

The sample size should be much more.

d.)

The result of the survey is not statistically significant.)

Solve for x. please show work for answer on paper
3x – 8 – 4x = -13

A) 3 The weapon was not an algebra book.
B) -3 The weapon was not a promethean pen.
C) 5 The weapon was not a calculator.
D) -5 The weapon was not a protractor.
E) 5/7 The weapon was not cafeteria food.

Answers

Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x - 8 - 4x = -13

→ 3x - 4x = -13 + 8

→ -x = -5

→ [ x = 5 ]

Thus, the value of x is 5.

Answer:

5

Step-by-step explanation:

Use PEMDAS

First you should do is to combine like terms

[tex] - x - 8 = - 13[/tex]

Haveing combined ike terms you need to add 8 to both sides (Like terms are terms that have the same variable like,x)

[tex] - x = - 5[/tex]

Then divide by a negative 1

(this is to get rid of negative x)

[tex]x = 5[/tex]

Hope this helps!

Feel free to ask questions

The cost, c, for catering a luncheon using Right On Catering is c=120+12m+10v where m is the number of meat lunches and v the number of vegetarian lunches being served at the luncheon.

a.) Solve the equation for v.

b.) If the cost for the luncheon was $558 and 24 attendees ordered the meat lunches, how many vegetarian lunches were served?

Answers

Answer:

if the cost for the luncheon was $558

and 24 attendees ordered the meat lunches , how many vegetarian lunches were

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which mathematical term cannot be precisely defined? line segment point circle ray

Answers

ray, has no end point


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