BD bisects ABC if ABC=6x+58 find ABD
Answers
The measure of the angle ABD is (3x + 29)
What is Bisecting angles?Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.
When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.
Here we have
BD bisects ABC and ∠ABC = 6x+58
When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure
Here BD bisected ABC
The resultant angles will be ∠ABD and ∠DBC
Hence,
=> ∠ABC = ∠ABD + ∠DBC
=> ∠ABC = ∠ABD + ∠ABD [ Since two angles are equal
=> ∠ABC = 2∠ABD
From the given data,
=> 6x + 58 = 2∠ABD
=> 2 ∠ABD = 2(3x + 29)
=> ∠ABD = (3x + 29)
Therefore,
The measure of the angle ABD is (3x + 29)
Learn more about Bisecting angles at
https://brainly.com/question/28292775
#SPJ1
Related Questions
Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for students at her school. She measured the hands and feet of
100
100100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
Answers
The most appropriate conclusion is: A) This is convincing evidence of an association between longer hand and longer foot.
What is chi-square test?The chi-square test is a statistical test used to determine whether there is a significant association between two categorical variables. It is used to compare observed frequencies of data to the expected frequencies to determine if they differ significantly. The test is based on the principle of comparing the difference between the observed frequencies and the expected frequencies, and then determining if this difference is statistically significant.
Here,
At the 0.05 significance level, with a chi-square statistic of 11.942 and 4 degrees of freedom, the P-value is 0.018.
Since the P-value is less than the significance level, we reject the null hypothesis of no association and conclude that there is evidence of an association between longer hand and longer foot.
To know more about chi-square test,
https://brainly.com/question/14082240
#SPJ1
Complete question:
Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for 100 randomly selected students. Here is a summary of the data and the results from a chi-square test:
Area and perimeter assignment. (9th Grade geometry)
Answers
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
know more about the perimeter:
https://brainly.com/question/19819849
#SPJ1
please I need help with this
Answers
A. The following are sets A and B:
A = {2, 3, 5, 7, 11}
B = {1, 2, 3, 4, 6, 12}
C. Elements not in A or A' = ∅
B. The Venn diagram is attached
How to solve sets?A universal set is a set which consists of all elements related to the given sets. It is denoted by U.
A. Set A:
A = {2, 3, 5, 7, 11}
Set B:
B = {1, 2, 3, 4, 6, 12}
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
A' = {1, 4, 6, 8, 9, 10, 12}
C. Elements not in A or A' = ∅
Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.
Hence, the Venn diagram of sets A, B and U has been attached.
Read more on set theory:
https://brainly.com/question/13458417
#SPJ1
f(x) = 4x - 1 when x = 1
Answers
Answer:
Step-by-step explanation:
f(x)=4x-1 x=1
f(x)=4(1)-1
f(x)=4-1
f(x)=3
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(f(1) = 3\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(f(x) = 4x - 1\\---------------\\\rightarrow f(1) = 4(1)-1\\\\\rightarrow f(1) = 4 - 1\\\\\rightarrow f(1) =\boxed{3}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help I will give u extra points
Question is in the photo
Answers
Answer:
Step-by-step explanation:
I want to say the 2nd one.
2nd and 4th one are equivalent to the initial equation but it asks for the expotential equation is equivalent so i figured the 2nd one has the exponents. Sorry can't be of more help. Thats the one i would choose.
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
Answers
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
For similar question on Sequence.
https://brainly.com/question/7882626
#SPJ8
Factor the binomial 9t to second power,-4 =
Answers
Using subtraction of perfect squares, it is found that the factored expression is:
9t² - 4 = (3t - 2)(3t + 2).
What is the subtraction of perfect squares factoring?It is given as follows:
a^2 - b^2 = (a - b)(a + b)
In this problem, the binomial is given as follows:
9t² - 4.
Hence:
a² = 9t² -> a = 3t.b² = 4 -> b = 2.Hence the factored expression is:
9t² - 4 = (3t - 2)(3t + 2).
More can be learned about subtraction of perfect squares at https://brainly.com/question/16948935
#SPJ1
What is the equation for the hyperbola shown?
Answers
The hyperbola's standard equation is [(x2/a2) - (y2/b2)] = 1, where X denotes the transverse axis and Y denotes the conjugate axis.
Define hyperbola.A hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set. A hyperbola is made up of two mirror images of one another that resemble two infinite bows. These two sections are known as connected components or branches. A hyperbola is a geometric shape in mathematics where the difference between the lengths from any point on the figure to two fixed locations is a constant (the Greek letter o literally means "overshooting" or "excess"). We refer to the two fixed spots as foci (plural of focus).
Given
The equation for the hyperbola
The hyperbola's standard equation is [(x2/a2) - (y2/b2)] = 1, where X denotes the transverse axis and Y denotes the conjugate axis.
To learn more about hyperbola, visit:
https://brainly.com/question/28989785
#SPJ1
There are 12 triangles and 4 squares. What is the simplest ratio of squares to triangles
Answers
Answer:
1:3
Step-by-step explanation:
4:12 = 1:3
Answer:
1 : 3
Step-by-step explanation:
4 squares : 12 triangles
4 : 12
1 : 3
Which expression is equivalent to 4+2(1+3x)
Answers
Answer:
I'm glad you asked!
Step-by-step explanation:
OK,let's simplify the number for a equivalent expression.
\(4+2(1+3x)\)
Distribute:
\(=4+(2)(1)+(2)(3x)\)
\(= 4+2+6x\)
Combine Like Terms:
\(=4+2+6x\)
\(=(6x)+(4+2)\)
\(=6x+6\)
The Final Answer is : \(6x+6\)
The expression that is equivalent to 4+2(1+3x) is 6x+6.
What is an Algebraic expression?Mathematical expressions that are made up of constants, variables, and coefficients that are combined using algebraic operations such as multiplication, addition, subtraction, and division are called Algebraic expressions.
How do simplify the algebraic expression?Given, 4+2(1+3x)
Firstly distribute 2(1+3x) to get 2+6x then,
4+2(1+3x)
=4+2+6x
=6x+6
Thus, 4+2(1+3x)=6x+6
For more simplification visit- https://brainly.com/question/953809?referrer=searchResults
#SPJ2
If you are surveying people about whether they like to swim, where are you more likely to get a random sample?
A) at a local supermarket
B) at a local beach
C) at a swimsuit store
D) outside a local swimming pool
Answers
Answer:
B) a local beach.
At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.
Step-by-step explanation:
Hope it helps! =D
Given the quadratic function x2+5x-24=0,mark on the graph where the solution[s]exit
Answers
The solutions exist at x=-8 and x=3, so the graph will have points at (-8,0) and (3,0).
Quadratic FormulaThe solutions to the equation x2+5x-24=0 can be found by using the Quadratic Formula, which is x = [-b ± √(b2-4ac)]/2a. In this case, a = 1, b = 5, and c = -24.This results in x = {8, -3}.These solutions can be represented graphically on a coordinate plane.There are two points of intersection at (8, 0) and (-3, 0).These points represent the two solutions to the equation.This type of graph is called a parabola.It is a U-shaped curve that consists of all points that satisfy the equation.The vertex is the point at which the parabola changes direction and is located at the point (5, -24).To learn more about Quadratic Formula refer to:
https://brainly.com/question/1214333
#SPJ1
HELP PLSSS 70 POINTS GOD BLESS WILL GIVE BRAINLIEST
PICTURE BELOW
Answers
Answer:
the correct answer is -1/16 i believe
A 45 gram sample of a substance that’s used to preserve fruit and vegetables has a K-value of 0.1085
Answers
Answer:
6.3 days
Step-by-step explanation:
The decay formula is
N(t) = N₀ exp(-kt)
where
N₀ = 45 g, original mass
N(t) = mass after time t, days
k = 0.1109, the decay constant.
At half life, N(t) = (1/2)*N₀. Therefore
1/2 = exp(-0.1109t)
Take natural log of each side.
ln(0.5) = -0.1109t
t = ln(0.5)/(-0.1109) = 6.25 days
Answer: 6.3 days (nearest tenth)
What did I do wrong? Need help with this equation
Answers
Using desmos you get the next graph:
The points of interception are marked in red (-3,-2) and in black (1,2)
how far will a train travel in 5hours if it travels at 80ml per hour
Answers
Answer:
If the ml means miles than its 400
Step-by-step explanation:
Show that 0.27 is multiplicative inverse
Answers
0.27 is a multiplicative inverse because the product of \(\frac{27}{100}\) and \(\frac{100}{27}\) is 1
A multiplicative inverse is a number in the form 1/x which gives 1 as the result when multiplied by x. It can also be referred to as the reciprocal
That is:
\(x \times \frac{1}{x} = 1\)
Express 0.27 as a fraction
\(0.27 = \frac{27}{100}\\\)
If \(\frac{1}{x} = \frac{27}{100}\)
\(x = \frac{100}{27}\)
Multiply x by 1/x
\(\frac{27}{100} \times \frac{100}{27} = 1\)
Since \(\frac{27}{100} \times \frac{100}{27} = 1\), then 0.27 is a multiplicative inverse
Learn more here: https://brainly.com/question/2594685
Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 6 with these dice. Be sure to reduce.
Answers
Answer:
the probability of rolling a sum of 6 with these dice is 1/6.
Step-by-step explanation:
To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:
(2,4)
(3,3)
(4,2)
For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.
For the first pair (2,4), the probability is:
(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18
For the second pair (3,3), the probability is:
(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36
For the third pair (4,2), the probability is:
(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36
The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:
1/18 + 4/36 + 4/36 = 1/6
Therefore, the probability of rolling a sum of 6 with these dice is 1/6.
Yoko made $306 for 18 hours of work.
At the same rate, how much would she make for 8 hours of work?
What’s the answer I need help
Answers
Answer:
$136.
Step-by-step explanation:
Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.
Write an equation of the circle with center (-6, 2) and diameter 10.
Answers
Answer:
it something i know that much
Step-by-step explanation:
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where:
h = x coordinatek = y-coordinater = radius of circleCenter of circle: (-6,2)First, let's find the radius of the circle. We know that the diameter of the circle is ten units. The radius is half of the diameter. This means that the radius is five units because it is half the diameter, which is ten units.
Diameter: 10 unitsRadius: 10/2 units = 5 unitsCreating the equation:
(x – h)² + (y – k)² = r²=> (x + 6)² + (y – 2)² = 5²Hence, the equation to form a circle with center (-6, 2) and diameter 10 is (x + 6)² + (y – 2)² = 5².
Image attached~
Learn more: https://brainly.com/question/26573763
Describe a real-life situation that can be represented with the equation 2x+5=13.
Answers
Answer:
Jessica goes to a fair, she spent 13 dollars the addmission fee is 5 dollars and for x tickets, it cost 2 dollars. How much did the tickets cost?
I need help, I was trying to solve it but I got lost.
Answers
Answer: \(x\approx 6.2\)
Step-by-step explanation:
Detailed explanation is attached below.
Solve this linear system 28x + 44y = 964.40 21x + 33y = 723.30
Answers
28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answers
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.
Answers
Answer:
24 is the number. The sum of its digits is 6.
Step-by-step explanation:
There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:
24 = 4 × 6 = 4 × (2 + 4)
solve 6x^3-7x^2-5x=0
Answers
Factor the x out first:
x(6x^2 - 7x - 5) = 0
Then factor the quadratic expression in the parenthesis:
x(2x + 1)(3x - 5) = 0
x = -1/2, 0, 5/3
All things algebra unit 5 homework 10 systems of inequalities
Answers
Note that a system of two linear inequalities in two variables is made up of at least two inequalities in the same variables.
What are systems of inequalities used for?Consider the following scenarios: highway speed restrictions, minimum credit card payments, the quantity of text messages you may send each month from your cell phone, and the time it will take to commute from home to school.
All of these may be expressed mathematically as inequalities. A linear inequality's solution is the ordered pair that is a resolution to all inequalities in the system, and the graph of the linear inequality is the graph of all system solutions.
Learn more about systems of inequalities:
https://brainly.com/question/16339562
#SPJ1
1/3x+ 1/3y=–9/5
in standard form
helpp
Answers
There is the answer to this equation problem
CAN SOMEONE HELP I’LL MAKE YOU BRAINLIEST❤️
Answers
A wiring job requires 4 electricians to work for 6 hours to finish the job.
On the day of the job, one electrician does not report. How long would it
take to complete the same job by the remaining electricians?
Answers
if we are talking about 24hrs. 24/4=6 so 24/3=8 (3 bc there is one less)!
The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Number of electricians= 4
Number of hours= 6
Now,
We can use the formula:
workers × time = work
where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.
In this case, we know that 4 electricians can complete the job in 6 hours. So:
4 × 6 = work
work = 24
This means that the total amount of work required to complete the job is 24 "units".
Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".
So we have:
3 × t = 24
Dividing both sides by 3, we get:
t = 8
Therefore, by work and time answer will be 3 electricians and 8 hours.
Learn more about work and time here:
https://brainly.com/question/1063042
#SPJ2