Answer:
C. 21°
Step-by-step explanation:
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
[tex] \therefore m\angle ABD = m\angle DBC[/tex]
(Angle bisector theorem)
[tex] \therefore (3x+9)\degree = (45-6x)\degree [/tex]
[tex] \therefore 3x+9 = 45-6x[/tex]
[tex] \therefore 3x+6x = 45-9[/tex]
[tex] \therefore 9x = 36[/tex]
[tex] \therefore x =\frac{36}{9}[/tex]
[tex] \therefore x =4[/tex]
[tex] \therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree [/tex]
[tex] \implies m\angle ABD=21\degree [/tex]
The measure of angle ABD is 21°. Therefore, option C is the correct answer.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
m∠ABD=m∠DBC (Angle bisector theorem)
3x+9=45-6x
3x+6x=45-9
9x=36
x=36/9
x=4
So, 3x+9=3(4)+9=21°
Thus, m∠ABD=21°
Therefore, option C is the correct answer.
Learn more about the angle bisector here:
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 what is the average of 55 75 20 46 60
Answer:
51.2
Step-by-step explanation:
what is 2+1 this will get you points.
Answer:
╭━━━╮
┃╭━╮┃
╰╯╭╯┃
╭╮╰╮┃
┃╰━╯┃
╰━━━╯
Step-by-step explanation:
Help pls I have 3 mins
Answer:
B or (0,8)
Step-by-step explanation:
Answer:
(0,8)
Step-by-step explanation:
Can someone help me please!!!!!
find the area of each circle
Answer:
1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86
Step-by-step explanation:
For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26
For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985
9k - 18 = - 6 Can you help with this Plzzzz!!!
Answer:
Step-by-step explanation:
im assuming were solving for k so we wanna get it by itself
9k - 18 = -6
start by adding 18 to both sides
9k = 12
then divide both sides by 9
k = 12/9
hope this helps <3
Answer:
the answer is
k= 4/3
Step-by-step explanation:
9k-18=-6
9k=-6+18
9k=12
k= 12/9
simplify it which gives k=4/3 or in decimal form 1.333
Jeremy bought 5/10 kg of mangoes, 3/4 kg of bananas and 1/2 kg of papayas. How many kilograms of fruits did he buy in all?
Answer:
add 5/10+3/4+1/2 you add number i will give you hint
im so confused someone help please x
Answer:
a) 32 , 40000 b) to a rising in age correspond a rising in salary , c) because you can draw a curve(or a brach of hyperbola) that goes up. i guess(?)
Step-by-step explanation:
Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
find the degree of the polynomial 2x3+x4-3x+5
Answer:
7x+5
Step-by-step explanation:
or, 2x3+x4-3x+5
or, 6x+x4-3x+5
or, 10x-3x+5
or, 7x+5
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°jazmine made 3 1/3 cups of jam. she will separate the jam into jars that hold 2/5 cup. How many jars of jam can Jasmine make ?
Given:
Jazmine made [tex]3\dfrac{1}{3}[/tex] cups of jam.
One jar can hold [tex]\dfrac{2}{5}[/tex] cup.
To find:
Number of jars of jam can Jasmine make.
Solution:
We have,
Capacity of each jar = [tex]\dfrac{2}{5}[/tex] cup
Total jam made by Jazmine = [tex]3\dfrac{1}{3}[/tex] cups
= [tex]\dfrac{3(3)+1}{3}[/tex] cups
= [tex]\dfrac{10}{3}[/tex] cups
Now,
[tex]\text{Number of Jars of jam}=\dfrac{\text{Total jam made by Jazmine}}{\text{Capacity of each jar}}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{5}}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{10}{3}\times \dfrac{5}{2}[/tex]
[tex]\text{Number of Jars of jam}=\dfrac{25}{3}[/tex]
[tex]\text{Number of Jars of jam}=8\dfrac{1}{3}[/tex]
Approx the value to the next integer.
[tex]\text{Number of Jars of jam}\approx 9[/tex]
Therefore, Jasmine make 9 cups of jam in which 8 are completely filled and one is filled one third.
Please help me fast. I’m confused.
Find the value of x.
168
x = [? ]°
Answer: 84
Step-by-step explanation:
The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees
Circle geometry.From the figure given, the horizontal line is the line tangential to a circle.
Given the following parameter
measure of minor arc = 168 degrees
Required
angle at the vertex "x"
Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;
x =1/2 minor arc
x= 1/2 (168)
x = 84 degrees
Hence the measure of the missing angle "x" is 84 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
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y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation:
Help me?!?!?! Giving brainliest
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
You pay 5.65% on the first 110,000 of income and 1.45% in excess of $110,000. Calculate the FICA tax for an employee who earns 60,000 a year
Answer:
The FICA tax for an employee who earns 60,000 a year is $ 3,390.
Step-by-step explanation:
Given that you pay 5.65% on the first 110,000 of income and 1.45% in excess of $ 110,000, to calculate the FICA tax for an employee who earns 60,000 a year the following calculation must be performed:
60,000 <110,000
60,000 x 0.0565 = X
3,390 = X
Therefore, the FICA tax for an employee who earns 60,000 a year is $ 3,390.
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
Express as a trinomial.
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
Mr. Bonet has a fair coin labeled “heads” and “tails.” He will flip the coin 6 times and record his results. What is the probability that the coin will land face-up on “tails” on all six flips?
Answer:
The probability of it landing tails on all 6 flips is 1/6 chance.
what is the discriminant of x^2=-14x-40
Answer:
Explanation:
x2+14x+40
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅40=40
and,
N1+N2=b=14
After trying out a few numbers we get N1=10 and N2=4
10⋅4=40, and 10+4=14
x2+14x+40=x2+10x+4x+40
=x(x+10)+4(x+10)
Here (x+10) is common to both terms.
So the factorised form is=(x+4)(x+10)
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
A funnel is in the shape of a cone. The radius is 2 inches and the height is 4.6 inches. Find the volume of the funnel. Round to the nearest tenth
Volume. In3
Algebric question
Subtract:
18x+21y from 22x-3y
Step-by-step explanation:
18x+21y
-
22x-3y
__________
= - 4x+24y
18x-(22x)=-4x
21y-(-3y)=24y // - * - = +
What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = [tex]\frac{17*17}{2}[/tex]
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!