Answers
Answer:
Angle ABD = 45 degrees
Angle DBC = 45 degrees
Step-by-step explanation:
If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:
angle ABD = Angle DBC
9 x + 9 = 12 x - 3
solve for x by subtracting 9x from both sides,
9 = 3 x - 3
and adding 3 to both sides:
9 + 3 = 3 x
12 = 3 x
divide both side by 3 to isolate "x":
12/3 = x
x = 4
And now we can find the value of each angle:
Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees
Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees
Related Questions
if you can help i’d appreciate it
Answers
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
how many metric tons are in 834.8 mg?
Answers
Answer:
8.384
Step-by-step explanation:
Answer:
8.348e-7 metric tons
Step-by-step explanation:
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answers
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours of work:
Harry's Earnings from Babysitting
Number of Hours Worked Money Earned (dollars)
5 60
6 72
8
120
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)
Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)
Answers
Answer:
Part A- The 1st box is 96 and the second box is 10.
PartB-
Part C-
Step-by-step explanation:
Part A:5x12=60
6x12=72
8x12=96
10x12=120
So the 1st box is 96 and the second box is 10.
Part B:5 $50
6 $60
8 $80
I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.
Part C:If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.
Hoped this helped.
Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?
Answers
Answer:
Turn it by 90 degrees
Step-by-step explanation:
Question is too vague sorry if this doesn't help
Answer:
fernanda i have no idea how to do this
Step-by-step explanation:
HELP! Will be giving branliest!!!!!!
Answers
A is the right anwer to your Question because of the Hours and weeks
which of the following choices is equal to 22+36
Answers
Answer:
58
Step-by-step explanation:
Compare and contrast xy with xy
Answers
Answer:
theres positive and negative
Step-by-step explanation:
i think that's what your talking about
(4x+45)
(5x-18)
Solve for x.
Answers
Answer:
Is there a certain equation?
Because my answer will probably be wrong.
Answer: x = 63Step-by-step explanation:
Let’s just say that x in both cases is the same value.
Equation:
(4x + 45) = (5x - 18)
x = 63
Answer: x = 63
Step-by-step explanation:
Turn - Find the value of e
(4w - 6)
+
Find the value of each variable
Answers
6w-6=180
6w=186
w=186/6
w=31
Write an equation for each of the following phrases or word problems. Solve for the missing variable. a. Two times a number is 16. b. Two plus a number is 28. c. Three is a number divided by 6. d. Samuel is y years old. In 10 years, he will be 27. How old is Samuel? e. A third of a pizza is 400 calories. How many calories in the whole pizza?
Answers
Answer:
2x8=16
2+26=28
he is 17 years old and in ten years he will be 27
Step-by-step explanation:
Answer:
-1200 Calories
-$287 - $175 =$112
Sanjai was paid $112
Step-by-step explanation:
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answers
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation:
Which statement describes the inverse of m(x) = x^2 – 17x?
a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
Answers
Given:
The function is
[tex]m(x)=x^2-17x[/tex]
To find:
The inverse of the given function.
Solution:
We have,
[tex]m(x)=x^2-17x[/tex]
Substitute m(x)=y.
[tex]y=x^2-17x[/tex]
Interchange x and y.
[tex]x=y^2-17y[/tex]
Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,
[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
Taking square root on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]
Add [tex]\dfrac{17}{2}[/tex] on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]
Substitute [tex]y=m^{-1}(x)[/tex].
[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]
We know that, negative term inside the root is not real number. So,
[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]
[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]
Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].
Hence, option D is correct.
Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.
Answer:
C on edu
Step-by-step explanation:
pleas help ill give brainiest
Answers
Given:
Initial amount in the account = $1,000
Interest rate = 3.25%
Since the type of interest is simple, 3.25 % of 1000 will be added to that account every year with no increase in the incrementing amount
Amount increased in 18 years:
Amount increased every year = 3.25 * 1000 / 100 = $32.5
Amount increased in 18 years = amount gained in 1 year * 18
Amount increased in 18 years = 32.5 * 18 = $585
Total amount in John's bank account at the age of 18:
Initial amount + amount increased in 18 years
1000 + 585
$1,585
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answers
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
5/6x-7/6=8 what Is the value of x
Answers
Answer:
x=11
Step-by-step explanation:
FOR EXAMPLE:
Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?
Answers
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answers
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
What is x and y called together in parenthesis?
Answers
Answer:
coordinates...
Step-by-step explanation:
x and y in parenthesis looks like: (x,y)
these are called coordinates
In a square, what is the relationship between the length of a side and the area?
A. proportional
B. cannot be determined
c. non proportional
d. ratio
Answers
The answer is non proportional I believe because the side length is x, so is the other side lengths because in a desire side lengths are all equal and to find area you do x squared or x times x. So they are not proportional because there will be different numbers for each. Ex. X= 2, area ( x squared ) is 4.
The relationship between the length of a side and the area is non proportional. so option C is correct.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
The answer is non proportional because the side length is x, so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ2
What is the slope of the line whose equation is 12=4x-6y?
Answers
Answer:
slope is 2/3
Step-by-step explanation:
12=4x-6y
We add 6y both sides
12+6y=4x
than subtract 12 from both sides
6y=4x-12
than divide both sides by 6
y=2/3x-2
and the slope is 2/3
Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)
2. The resulting polynomial for a(x) will be a 4th degree polynomial
3. L(x)=A(x) divided by w(x)
4. The resulting polynomial for A(x) will have a leading coefficient of 6
5. A(x) = L(x) * w(x)
I know what the answers are its B,C,D but i need work showing how I got to that conclusion
Answers
Answer:b and e
Step-by-step explanation:I took the test
is this a keep, change, change?
-9-8
Answers
Answer:
Yes, they cancel each other out.
Step-by-step explanation:
Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answers
Answer:
1,3,4
Step-by-step explanation: hope this helps you
estimate 3,156-2,163 by first rounding each number to the nearest hundred
Answers
Answer:
3
,
154
,
163
3,154,163
Step-by-step explanation:
Please answer this for me :)
Answers
Answer:
d = 1.5
Step-by-step explanation:
yes
Answer:
1.5
Step-by-step explanation:
First put like terms on one side:
-3/8d - 1/2d = -11/16 - 5/8
then make the demominators the same:
-3/8d - 4/8d = -11/16 - 10/16
add up the terms:
-7/8d = -21/16
solve for d:
d= 1.5
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answers
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
Answers
how many students have used all three modes of transportation? solution please
Answers
Complete question is;
In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?
Answer:
4 students
Step-by-step explanation:
Let the number of students who used airplane be A
Let the number of students who used boat be B
Let the number of students who used train be C
Now, we are told that 17 rode plane.
Thus; A = 17
28 rode boat; B = 28
10 rode train; C = 10
12 rode airplane and boat; A ∩ B = 12
4 rode plane only; A' = 4
3 rode boat only; C' = 3
Total number of students; T = 40
Now, total number of students is represented by;
T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)
We don't have (B ∩ C) and (C ∩ A).
Now, the can be derived from the expression of C' which is;
C' = C - (B ∩ C) - (C ∩ A)
C' = C - [(B ∩ C) + (C ∩ A)]
We are given C' = 3 and C = 10
Thus;
3 = 10 - [(B ∩ C) + (C ∩ A)]
10 - 3 = [(B ∩ C) + (C ∩ A)]
7 = [(B ∩ C) + (C ∩ A)]
Rearranging the total number of students equation, we now have;
T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)
Where;
(A ∩ B ∩ C) is the number of students that used all three modes of transportation.
Thus, plugging in the relevant values;
40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)
40 = 36 + (A ∩ B ∩ C)
(A ∩ B ∩ C) = 40 - 36
(A ∩ B ∩ C) = 4
Whata 7,500lb= to tons what's it
Answers
Answer:
3.75 tons djdhdjrjrhejejjwjwjsjs
Answer:
3.75 US tons
Step-by-step explanation:
1 ton =2000 pounds
so 7,500÷2000 =3.75