In the figure below, m ZABD = 104°, BC bisects LABD, and BE bisects ZCBD. Find mZEBD.
Check
A
B
C
E
D
mZEBD
X
2022 McGraw
Answers
The measure of ∠EBD from the given figure is 26°.
Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since BC bisects ∠ABD, we get ∠ABC=∠CBD
So, ∠ABD=∠ABC+∠CBD
⇒2∠CBD=104°
⇒∠CBD=52°
Here, BE bisects ∠CBD, we get ∠CBE=∠EBD
So, ∠CBD=∠CBE+∠EBD
⇒2∠EBD=52°
⇒∠EBD=26°
Therefore, the measure of ∠EBD from the given figure is 26°.
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Related Questions
How do you convert a fraction to a decimal?
Answers
Answer:
To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.
One of the legs of a right triangle measures 4 cm and its hypotenuse measures 5 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
4^2 + b^2 = 5^2
16 + b^2 = 25. -16
B^2 = 9
Square root of 9 = 3
B = 3
The other leg is 3cm
Cameras R Us buys cameras at wholesale and sells them at a 40% markup. Use the diagram to find the wholesale price of a camera the store sells for $77.100 percent = wholesale price. 40 percent markup. Retail price = 77 dollars.$45$50$55$60
Answers
Answer:
Your answer would be c
Step-by-step explanation: i did the question
Answer:
55.00
Step-by-step explanation:
Im smart
Pls give me the right answer
Answers
Explain this to me I don't understand
Answers
Answer:
26.124
Step-by-step explanation:
SOH CAH TOA
tan 43 = about 0.933
than times it by 28 and get
26.124
ASAPPP, can someone tell me the answer for this , i don’t want to flunk this assignment:/
Answers
Answer:
B
Step-by-step explanation:
X is about 4.5 times the amount given, so B. 337 1/2
Answer:
337.5 or 337½
Step-by-step explanation:
y∞x
y=kx(where k is the constant)
75=½k
cross multiplication
75×2=k
150=k
therefore the formula connecting x,k and y is y=150x
y=150×2¼
y=150×9/4
y=1350÷4
y=337.5or 337½
ASAP can someone help me solve this problem
Answers
Answer:
Step-by-step explanation:
x° + y° = 180°
2y° - 0.5x° = 180°
y° = 108°
x° = 72°
A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?
Answers
Answer:
5.7 million
Step-by-step explanation:
Let the number of users be x
x + 33% of x = 7.5 million
x + 0.33x = 7.5 million
1.33x = 7.5
x = 7.5/1.33
x = 5.7 million
Which expression is equivalent to the expression -3(4x - 2) - 2x?
Answers:
-8x
-16x
-14x - 2
-14x + 6
Answers
Answer:
-14x+6
Step-by-step explanation:
we distribute -3 in to get:
-12x+6-2x
Combine like terms
-14x+6
What is measure of angle x?
Answers
Answer:
65
Step-by-step explanation:
55+60=115
180-115=65
Use the interactive number line to find each sum to complete the table.
A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled a + b with entries 3, R, S, T.
R =
S =
T =
Answers
Answer:
R= -3
S= -3
T= -9
Step-by-step explanation:
i got this right
The required sum using the interactive number line is R = -3, S = -3, and T = -9.
Given a table of the form:
a b a+b
1 2 3
-1 -2 R
-4 1 S
-6 -3 T
It is required to find the value of R, S, and T.
R = -1 + (-2) = -1 - 2
That is on a number line, -1 is taken 2 units to the left.
Then the point is -3.
So, R = -3.
S = -4 + 1
Here, -4 is taken 1 unit to the right.
Then the point is -3.
So, S = -3
T = -6 + (-3) = -6 - 3
Here, -6 is taken 3 units to the left.
Then the point is -9.
So, T = -9
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automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. the following table is a frequency distribution of speeds. speed (miles per hour) frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 how many of the cars traveled less than 75 miles per hour?
Answers
To find out how many of the cars traveled less than 75 miles per hour, we need to add up the frequency of the first three categories: 45 up to 55, 55 up to 65, and 65 up to 75.
50 + 325 + 275 = 650
So, 650 cars traveled at a speed less than 75 miles per hour.
Based on the provided frequency distribution, we can determine the number of cars traveling less than 75 miles per hour by adding the frequencies of the relevant speed ranges:
- 45 up to 55: 50 cars
- 55 up to 65: 325 cars
- 65 up to 75: 275 cars
To calculate the total number of cars traveling less than 75 miles per hour, add the frequencies:
50 cars (45-55 mph) + 325 cars (55-65 mph) + 275 cars (65-75 mph) = 650 cars
So, 650 cars traveled less than 75 miles per hour.
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The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
1. The equation should be y + 4 = 4y after division by 2; y = 5
2. The equation should be y + 4 = 4y after division by 2; y = 2
3. 2 should be distributed as 2y + 8; y = 4
4. 2 should be distributed as 2y + 8; y = 2
Answers
Answer:
3; y=4
Step-by-step explanation:
2 should be distributed as 2y + 8; y = 4
2(y +4) = 4y
2y + 8 = 4y
8 = 2y
y = 4
5) Jimmy is saving up money. He has already saved $27 and he is saving $12 per day. Write a linear equation in slope-
intercept form that represents this situation. Explain the slope and y-intercept's meaning.
Answers
Answer: y = 12x + 27
Step-by-step explanation:
The slope represents the money he is saving per day (12), and the y intercept represents the money he has already saved (27)
Is 33/3 a natural,whole,integer,rational
Answers
Answer:
Rational number . . . . . .
pla shop mathematics
Answers
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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The local seven-digit telephone numbers in city a have 291 as the first three digits. how many different telephone numbers are possible in city a?
Answers
The total number of different telephone numbers are possible in city is 6561.
What is permutation?A term permutation relates to a mathematical process that determines the number of possible arrangements of a given set.
Simply put, a permutation is a term that refers to the number of different ways something can be ordered as well as arranged. The sequence of the arrangement is important in permutations.Now, according to the question;
Because the first three digits are fixed, we must select the next four digits.
A total number of available telephone numbers is increased by selecting one of nine numbers for the fourth digit;
nine numbers for the fifth digit;
nine numbers for the sixth digit;
and nine numbers for the seventh digit.
Thus,
= 9×9×9×9
= 6561
Therefore, the total number of ways in which telephone numbers are possible in city are 6561.
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sea ice is frozen ocean water, which frezzes at a temperture of about -1.8 degress celsius. what i the temperture in fahrenheit use the formula F=(c) (9/5)+32
Answers
Answer:
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
Huey can wash 6 cars or mow 3 lawns in one hour. Dewey can wash 3 cars or mow 3 lawns in one hour. Louie can wash 3 cars or mow 6 lawns in one hour. They each work 8 hours per day. If two of them wash cars and one mows lawns then at most they can wash cars and mow lawns. Enter whole numbers.
Answers
At most, they can wash 96 cars and mow 96 lawns.
To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.
Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.
Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.
Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.
Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.
The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.
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Which of the following does not respresent a constraint described in Dempster’s triangle?
A. The project sponsor is not receiving support from other executives.
B. Project consultants have billed triple the hours you anticipated.
C. During the implementation phase the head of marketing requests new features be added.
D. The project timeline does not include holidays which the team members plan to take off.
Answers
D. The project timeline not including holidays which the team members plan to take off does not represent a constraint described in Dempster's triangle.
The constraints described in Dempster's triangle are related to project scope, time, and resources, and typically include limitations on budget, technology, staffing, and other factors that may impact project success. While holidays may impact project scheduling, they are not typically considered a constraint in the same sense as other Dempster's triangle that directly impact project deliverables.
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hat is the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat?
Answers
To calculate the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat, we need to know the hitter's batting average.
A batting average of 0.270 means that the hitter gets a hit in 27 out of every 100 at-bats. Therefore, the probability of getting a hit on any given at-bat is 0.270.
The probability of not getting a hit on a single at-bat can be calculated as 1 minus the probability of getting a hit. So, the probability of not getting a hit on a single at-bat for a 0.270 hitter is:
Probability of not getting a hit = 1 - Probability of getting a hit
Probability of not getting a hit = 1 - 0.270
Probability of not getting a hit = 0.730
Therefore, the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat is 0.730 or 73.0%.
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(x - 5)(5x + 2) = 0 (please help)
Answers
Answer:
x=-5
Step-by-step explanation:
please tell me if im wrong lol
Answer:
\( (5 , - 0.4)\)
A student weighs out 0. 0422 g of magnesium metal. The magnesium metal is reacted with excess hydrochloric acid to produce hydrogen gas. A sample of hydrogen gas is collected over water in a eudiometer at 32. 0°c. The volume of collected gas is 43. 9 ml and the atmospheric pressure is 832 mmhg. Using the experimentally collected data, calculate r and the percent error.
Answers
The value of r = 9.078.
What is ideal gas law?pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.
so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.
r = \(\frac{pv}{nt}\)
So p = 110922.24. V = 0.0439 , n = 0.001758 t = 305.15. So let's just do the calculations here.
In this case you will find r=?
Here it's about 9.078.
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The ratio of green M & M's to yellow is 2:5
a. If there are only green and yellow M & M's in the bag, what is the smallest number of M & M's possible?
b. If there are 84 total green and yellow M & M's in the bag, how many are green?
c. If red M & M's were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red in simplest form? (enter ratio as green:yellow:red)
:
:
Answers
a. The smallest number of M & M's possible is 14.
b. The number of green is 24.
c. The ratio of green to yellow to red in 6: 15: 25.
How to calculate the value?a. When there are only green and yellow M & M's in the bag, the smallest number of M & M's possible will be:
= (2 × 2) + (2 × 5)
= 4 + 10
= 14
b. If there are 84 total green and yellow M & M's in the bag, the number of green will be:
= 2 / (2 + 5) × 84
= 2/7 × 84
= 24 green
c. If red M & M's were added to the bag in part b to get a total of 100, the ratio of green to yellow to red in simplest form will be:
= Green : Yello : Red
= 24 : 60 : 100
= 6 : 15 : 25
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true or false? \( \frac{5}{8} - \frac{2}{4} = \frac{3}{4} \)
Answers
The given expression :
\(\frac{5}{8}-\frac{2}{4}=\frac{3}{4}\)LCM of 8 & 4 is 8
\(\begin{gathered} \frac{5}{8}-\frac{2}{4}=\frac{3}{4} \\ \frac{5-4}{8}=\frac{3}{4} \end{gathered}\)Simplify: 5 -4 =1
\(\begin{gathered} \frac{5-4}{8}=\frac{3}{4} \\ \frac{1}{8}=\frac{3}{4} \end{gathered}\)Apply cross multiplication:
\(undefined\)Factoring quadratics 15x^2-14x+3
Answers
Step-by-step explanation:
15x²-14x+3
Product =45
Sum=-14
=(-9,-5)
15x²-9x-5x+3
3x(5x-3)-1(5x+3)
=(5x-3)(3x-1)
here is a scatter plot for a set of bivariate data. what would you estimate the correlation coefficient to be?
Answers
You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
What is meant by scatter plot?The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.
Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.
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A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
Answers
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answers
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
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Divide the equation below.
5 ÷ 4/5
Answers
Answer:
6 1/4
Step-by-step explanation:
5/(4/5) is equal to 5 x the reciprocal of 4/5, so it would be:
5 x 5/4 = 25/4 = 6 1/4