Ab and c lie on a straight line BD=CD BCD=15 BAD=5 Work out x
Answers
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
The attachment completes the question;
From the question, we have the following given parameters
[tex]BD = CD[/tex]
[tex]\angle BCD = 15\deg[/tex]
[tex]\angle BAD = 5\deg[/tex]
Required
Solve for x
Since [tex]BD = CD[/tex] then
[tex]\angle CBD = \angle BCD[/tex] --- Property: Base angle of an isosceles triangle
[tex]\angle CBD = \angle BCD = 15[/tex]
Also, ABC is a straight line;
So:
[tex]\angle CBD + \angle DBA = 180[/tex] --- angle on a straight line
Substitute 15 for [tex]\angle CBD[/tex]
[tex]15 + \angle DBA = 180[/tex]
Make [tex]\angle DBA[/tex] the subject
[tex]\angle DBA = 180 - 15[/tex]
[tex]\angle DBA = 165[/tex]
Considering triangle DBA
[tex]\angle DBA + \angle BAD + x = 180[/tex] ---- angles in a triangle
Substitute 165 for [tex]\angle DBA[/tex] and 5 for [tex]\angle BAD[/tex]
[tex]165 + 5 + x = 180[/tex]
Make x the subject
[tex]x = 180 - 165 -5[/tex]
[tex]x = 10[/tex]
Related Questions
Enter an equation in slope-intercept form for the line below.
4x +y = 2
Y=?
Answers
Answer:
y=2-4x
Step-by-step explanation:
move 4X to the other side and change the sign from plus to mines
Answer:
y = -4x + 2
Step-by-step explanation:
[tex]4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}[/tex]
Hope this helps.
Giving you extra points!
What is 10+5
Answers
Answer:
15 !!!!
thanks for the points
Answer:
15 lol
Step-by-step explanation:
Which expression is equivalent to x-6 plzzz
Answers
Al llegar al hotel nos han dado un mapa con los lugares de interés de la ciudad, y nos han dicho que 5 centímetros del mapa representan 600 metros de la realidad. Hoy queremos ir a un parque que se encuentra a 8 centímetros del hotel en el mapa. ¿A qué distancia del hotel se encuentra este parque?
Answers
Answer:
La distancia real entre el hotel y el parque es 960 metros.
Step-by-step explanation:
Este es un caso de factor de escala, donde 5 centímetros en el mapa equivalen a 600 metros a escala real. Por tanto, la distancia entre el parque y el hotel en el mapa halla su equivalente mediante la siguiente regla de tres simple:
[tex]x = \frac{600\,m}{5\,cm}\times 8\,cm[/tex]
[tex]x = 960\,m[/tex]
La distancia real entre el hotel y el parque es 960 metros.
(Question Attached) Multiple Choice
A.) 6.25
B.) 6
C.) 5.5
D.) 5.75
Answers
Answer: c
Step-by-step explanation:
Answer:
C. The only way I know is I had a problem like that recently.
A dime rolls 41.8 cm. How many rotations did it make?
Answers
Answer:
to figure this out you would need to know the circumference of the dime. then divide 41.8 by the circumference.
Step-by-step explanation:
if the circumference is aprox. 2.2 inches, then you would divide 41.8 by 2.2.
What is the leading coefficient of the polynomial?
15x^4 – 26x^3 – 18x^6 – 19x^7
Answers
Answer:
-19
Step-by-step explanation:
Rewrite the equation from highest exponent to lowest:
-19x^7-18x^6+15x^4-26x^3
Coefficients are the numbers in front of the exponent, so the leading coefficient is what is attached to the highest exponent value.
-19x^7 is the highest exponent, so -19 is the highest coefficient.
So yeah this is a retake
Answers
Solve 21.85 x (-6.2)
Answers
Answer:
= −135.47x
Step-by-step explanation:
^^^^^^^^^^^^^^^
Jamal earns $40 washing 5 windows. At this rate, how many windows did Jamal wash to earn $80?
Answers
Then divide 80/8 =10
Answer:
Jamal washed 10 windows
Step-by-step explanation:
The rate that Jamal washes windows at is $8/1 window
8/1=80/10
I hope this helped
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence (1,10),(2,12),(3,14). How long does it take for the tree to reach its maximum height of 28 feet?
Answers
Answer:
10 years
Step-by-step explanation:
We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.
Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft
Thus,
f(1) = 8 + 2 = 10
f(2) = 8 + 2 + 2 = 12
f(3) = 8 + 2 + 2 + 2 = 14
The pattern here is;
f(x) = 8 + 2x
Where x is number of years
Thus, for it to reach a maximum height of 28 ft;
28 = 8 + 2x
Subtract 8 from both sides to give;
28 - 8 = 2x
2x = 20
x = 20/2
x = 10 years
Convierte la siguiente fracción a decimal(4 decimales): 24/33
Answers
Answer:
4
Step-by-step explanation:
What is a negative plus a positive
Answers
Answer:
When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction. Basically you are subtracting the 2. The answer is 2.
Step-by-step explanation:
Ashley and Becky both start jogging at the same point along a path in the park. It takes Ashley 12 minutes to jog one complete lap along the path, and it takes Becky 8 minutes to jog one complete lap along the path. After how many minutes will Ashley and Becky both be at their starting point on the path again?
Answers
Answer:
24 minutes
Step-by-step explanation:
Given
Ashley = 12 minutes
Becky = 8 minutes
Required
Determine when they will be at the same point again
To do this, we simply determine the least common factor of both.
Ashley = 12, 24, 36, 48....
Becky = 8, 16, 24, 32........
From above, the least common factor is 24
Hence, both of them will be at the starting point in 24 minutes
PLEASSEEE CAN ANYONE HELP WITH THIS PLEASE ITS DUE SUPER SOON!! ILLG GIVE LOTS OF POINTS GUYS
Find the equation of the tangent line to the graph y=(sqrt(3x))-4 at x=1
ANSWER CHOICES:
y=x
y=sqrt(3x)-4
y=sqrt(3x)-3
y=x+3+sqrt3
Answers
Answer:
y=sqrt(3x)-4
Step-by-step explanation:
Solve in quadratic formula
Answers
Answer:
I'm sorry I don't know what that means so I just put the meaing for quadratic formula
Step-by-step explanation:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others
I'm sry that this is not the answer you were probaly looking for but all you said was "Solve in quadratic formula" and theres nothing else so pls if you need to fix that pls do so you can get your answer- Lily~Senpai :P
Create the graph of g(x) on a new set of axes using the graphs of a(x) and d(x). Label your scale and axes.
Answers
Answer:
I honestly don't know
Step-by-step explanation:
8182i2o2o
828262781
7925 divided by 72. It keeps coming out wrong as I do it so I need help
Answers
Answer:
110 R 5
Step-by-step explanation:
plz plz plz give brainlyest
Answer:
110.0694
Step-by-step explanation:
because it is
6. Cindy is 2 years older than Marie. Their ages total 30 old is each person?
Answers
Answer:
huh? no they cant both be 30 at the same time is cindy is 2 years older than marie....
Step-by-step explanation:
a) A farmer has 50 acres of land in which he plans to plant maize and beans. Each acre of maize requires 6 people and each acre of beans requires 2 people to work on it. He has at least 60 people available. He must plant at least 10 acres of beans. The profit on maize is KES 2000 per acre and on beans is KES 3000 per acre. If he plants x acre of maize and y acres of beans,
i) write down 4 inequalities of x and y to describe his plan
ii) represent the 4 inequalities graphically
iii) determine the acreage for each crop for maximum profit
Answers
Answer:
Hi how are you doing today Jasmine
a baker uses 3.5 pounds of flower daily to make bread how many ounces would he use in one week?
Answers
Trapezoid JKLM with vertices J(-6, 6), K(-3, 7),
L(-1, 3), and M(-8, 0): (x, y) = (x + 7, y - 3)
Answers
Answer:
[tex]J' =(1, 3)[/tex]
[tex]K' = (4,4)[/tex]
[tex]L' = (6,0)[/tex]
[tex]M' = (-1,-3)[/tex]
Step-by-step explanation:
Given
[tex]J = (-6,6)[/tex]
[tex]K = (-3,7)[/tex]
[tex]L= (-1,3)[/tex]
[tex]M = (-8,0)[/tex]
Transformation: [tex](x,y) = (x+7,y-3)[/tex]
This means that, we add 7 to the x coordinate and subtract 3 from the y coordinate.
For J, we have:
[tex]J = (-6,6)[/tex]
[tex]J' =(-6 + 7, 6 - 3)[/tex]
[tex]J' =(1, 3)[/tex]
For K, we have:
[tex]K = (-3,7)[/tex]
[tex]K' = (-3+7,7-3)[/tex]
[tex]K' = (4,4)[/tex]
For L, we have:
[tex]L= (-1,3)[/tex]
[tex]L' = (-1 + 7,3-3)[/tex]
[tex]L' = (6,0)[/tex]
For M, we have:
[tex]M = (-8,0)[/tex]
[tex]M' = (-8+7,0-3)[/tex]
[tex]M' = (-1,-3)[/tex]
What is the percent of change if 30 is decreased to 25? Round
your answer to the nearest percent.
Answers
Answer:
The percentage change from 30 to 25 is -16.67 %
i’m confused on this please help
Answers
Answer:
C) On average, children grow about 9 inches every 2 years.
Step-by-step explanation:
Think about what the slope 9/2 means:
Slope is Change in Y / Change in X which is Change in Height / Change in Age, so 9 inches / 2 years means that on average, children grow about 9 inches every 2 years.
HELP ASAP !! A system of linear equations is shown below.
2x – 3y = 17
–3x + y = –1
Choose a method (Elimination or Substitution) to solve the system of equations. Solve and explain your process.
Academic Language:
Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.
Answers
Answer:
x= -2, y= -7
Step-by-step explanation:
(Solve for y)
-3x+y=-1
1. add 3x to both sides
y=3x-1
(Substitute y=3x-1 into 2x-3y=17)
1. 2x-3(3x-1)=17
2.Simply it (Distributive Property)
3. -7x+3=13
(Solve for x)
1. Subtract 3 from both sides
2. Divide both sides by -7
3. x=-2
(Substitute x=-2 into y=3x-1)
1. y= 3 x -2-1
2. y= -7
Therefore ,
x= -2
and
y= -7
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).
Answers
Answer:
your answer is:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
Answer: A
Step-by-step explanation:
10x⁵+18
Factor the expression completely
Answers
2(5x^5 + 9)
Two step equations
Sally sold half of her comic books and then bought eight more. She now has twelve. How many did she begin with?
Answers
Answer:
8
Step-by-step explanation:
Since she now has 12, subtract 8 because of the 8 she before added.
Now, you're left with 4.
The 4 is half of what she originally had, leading up to the fact that the answer is 8.
Sally began with eight comic books.
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answers
7. Jeff is a part-time student at UCO. He currently has 22 credits, and he plans to take
6 credits per semester until he is finished. Jeff's friend Kila is also a student at the
college. She has 4 credits and plans to take 12 credits per semester. After how
many semesters will Jeff and Kila have the same number of credits?
A. 1 semesters
B. 2 semesters
C. 3 semesters
D. Cannot be determined
please help i need to get my grades up ♀️
Answers
Answer:
Your answer is C.
22+(6x3)=40
4+(12+3)40.