ABD and DBC are complementary angles 43 what is the measure of x
Answers
The value of x is 60
How to determine the value of x?The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
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Related Questions
You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??
Answers
The maximum number of visits you can make with each membership is 104.
What is gym membership?Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.
Some gym memberships require one-time payments made monthly or annually.
Question Completion:Assume that the annual gym fee is $200 for Saturdays and Sundays only.
Thus, in this scenario, the maximum number of visits you can make with each membership is 104.
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The diameter of a circle is 62cm
by first calculating the radius work out the area of the circle
give your answer in cm² to 1.d.p
Answers
Reason
We know diameter is 62
Radius (r) is 1/2 of diameter so r=31
Formula for area
A= pi r^2
Fill in what we know
A= (3.14) (31^2)
Multiply
A=3017.54
Round to 1 dp
A= 3017.5
If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]
Answers
[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]
Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?
Answers
The function g(x) = ∛(x -3) is positive at the interval x > 3
Complete questionGiven g(x) = ∛(x -3), on what interval is the function positive?
How to determine the positive interval?The function is given as:
g(x) = ∛(x -3)
Set the radicand to positive
x - 3 > 0
Add 3 to both sides
x > 3
Hence, the function is positive at the interval x > 3
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Hii! I need some help, would anyone mind helping me?
Find the center of this hyperbola.
[tex]\boldsymbol{x^2-25y^2-14x+100y-76=0}[/tex]
[tex]\stackrel\bigstar{\boldsymbol{\underbrace{Thankyou!!}}}[/tex]
Answers
Step-by-step explanation:
[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]
Factor by grouping,
[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]
Complete the square, with the x variables,
[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]
Factor out 25 for the y variables
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]
Complete the square
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]
Simplify the perfect square trinomial
[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]
Make the right side be 1 so divide everything by 25.
[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]
Here our center is (7,2).
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)
Answers
Answer:
the graph of f(x)= -2-10x+16
Answer:
the vertex would be (-5,41)
Step-by-step explanation:
You just plug the -5 back into the equation to get 41
I am having some problem can anyone please help me out to do this math.
(x + 3)(x + 4)
Answers
Answer:
x^2 + 7x + 12
Step-by-step explanation:
This is a product of two binomials. There's a formula:
(a + b)(c + d) = ac + ad + bc + bd.
Therefore, (x + 3)(x + 4) = x^2 + 3x + 4x + 12 = x^2 + 7x + 12
Find the number of turns or bumps in the graph of the function f(x) = x² - 25
Answers
Answer:
1 turn
Step-by-step explanation:
this is what the graph would look like:
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
Use the polygon tool to graph the dilated figure.
(See attached image for details.)
Answers
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
How to graph the dilated image?The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
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A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answers
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
Which statement about the polynomial function g(x) is true?
1If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
2If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
3If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.
4If the leading coefficient of g(x) is 1, all roots of g(x) = 0 must be integers.
Answers
When leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
What is a Polynomial Function ?Functions of independent variable in which the variable can appear more than once with different powers.
[tex]\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o[/tex]
Let this represents the polynomial function
where [tex]\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term[/tex]
Then the according to rational root theorem ,
The root of the function is given by
[tex]\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}[/tex]
So when leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
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Jej pls help i need my brother help
Answers
Answer:
[tex]\mathsf {\frac{17}{10}}[/tex]
Step-by-step explanation:
[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
Take the LCM (common denominator) to be 30.
[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]
Bring the known values to the RHS.
[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]
[tex]\mathsf {? = \frac{51}{30}}[/tex]
[tex]\implies \mathsf {\frac{17}{10}}[/tex]
Let that be x
2 2/3=8/3Now
[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]
Which of the following expressions are equivalent to - -13/12
A. -13/-12
B. 13/-12
C. None of the above
Answers
If is -(-13/12) then A. -13/-12
If is -13/12 then B. 13/-12
[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]
Quadrilateral VWXY is a parallelogram. Find the measure of V
Answers
Step-by-Step Solution:
In a Parallelogram, adjacent or consecutive angles are Supplementary.
In the given figure, ∠V + ∠Y = 180°
Therefore,
∠V + ∠Y = 180°
∠V + 60° = 180°
∠V = 180° - 60°
=> ∠V = 120°
Therefore, ∠V = 120°
10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to triangle edc
ii)ab = cd
Answers
Part (i)
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
Part (ii)
6) AB = DE (corresponding parts of congruent triangles are equal)
Compare the quantity in Column A with the quantity in Column B.
Column A Column B
slope of y = 3 slope of x = 3
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined on the basis of the information supplied.
Keep in mind that one is talking about the slope of y and one is about the slope of x. One has no slope and one has an undefined slope. So is it D? Does anyone know the answer to this question?
Answers
Compare the quantity in Column A with the quantity in Column B.
Column A Column B, The two quantities are equal.
What is the slope?Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.
In conclusion, Compare the number in Column A with the number in Column B.
The two amounts are identical in Columns A and B.
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you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.
Answers
The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given data;
Soda costs = $3 per case
Paper plates = $4 per stac
The maximum amount of money you can spend is $25
x = the number of cases of soda
y = the number of stacks of paper plates.
The inequalities that define the given conditions are;
[tex]4x+3y \leq25[/tex]
Hence, option A is correct.
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The lottery in our state consists of two drawings. first, a megaball is picked from among 27 numbered balls. second, five winnerballs are picked from among 44 numbered balls. to win the lottery, you must pick the megaball number correctly and also pick the numbers on the five winnerballs (but you don't need to get the order right for the winnerballs). what is the probability that the ticket i hold has the winning numbers
Answers
Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:
[tex]p = \frac{1}{29,322,216}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the winnerballs, 5 balls are taken from a set of 44, hence:
[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]
Considering the numbered balls, the number of outcomes is given by:
N = 27 x 1086008 = 29,322,216.
Hence the probability is given by:
[tex]p = \frac{1}{29,322,216}[/tex].
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Lyanna opens a bank account with a deposit of $200. She earns 3%
interest per year. How much money will Lyanna have in her account after
the first year?
Answers
Answer:
$206
Step-by-step explanation:
Lyanna will earn 3% on her capital within 1 year.
In total, she will have 103%.
$200 x 103% = $206
vincent mows 8 lawns in 2 hours. how many lawns are mowed in 5 hours .
Answers
Answer:
20 lawns
Step-by-step explanation:
A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5
hex bolts and 15 anchor bolts weighs 4 pounds. A single hex bolt weighs ___________
pounds, rounded to one decimal place
Answers
Answer:
0.5
Step-by-step explanation:
Let h = weight of 1 hex bolt Let a = weight of an one anchor bolt1) (12h + 10a = 7) × 3 ⇒ (1) 36h + 30a = 21
2) (5h + 15 = 4) × -2 ⇒ + (2) - 10h - 30a = 8
----------------------
26h = 13
----- -----
26 26
h = 13 ÷ 13
---
26 ÷ 13
h = 1
---- = 0.5
2
Answer:
1 hex bolt weight 0.5 lbs.
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. persons taking a 70-hour review course average a score of 780. based on these two data points, create a linear equation for the function that describes how score varies as a function of time. use this function to predict an average score for persons taking a 43-hour review course. round your answer to the tenths place.
Answers
Answer:
Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672
I’m having trouble understanding how to solve this someone please help ASAP thank you!
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.
Answers
Answer:
Answer is 71.95°
Step-by-step explanation:
Cosine formula is
a^2=b^2+c^2-2bc(cosA)
cos A =b^2+c^2-a^2/2bc
if a= 119,b=94,c=173
cos A=94^2+173^2-119^2/2(94*173)
=8836+29,929-14,161/2(16,262)
=38765-14,161/32,524
=24604/32,524
=0.7564
cos A=0.7564
cos^-1=40.85°.that's for angle A.
Using the same formula
B=31.1°
C=180-(40.85+31.1)
C=180-71.95
C=108.05
Since angle on a straight line is 180
therefore x is 71.95
Also the sum of angles A and B
what is the simiplyfly for this -8(-3)
Answers
Answer:
24
Step-by-step explanation:
when you open up the parenthesis, you get -8x-3 which is 24.
negative x negative = positive
Hi 6 questions ! They are practice so shouldn’t be to hard!
Please fine the slope through the given points
Answers
Answer:
1. 1
2. 6/5
5. 0
6. -1/2
9. -1
10. 0
Step-by-step explanation:
Well you should just the slope formula (y2-y1)/(x2-x1)
1. (8-5)/(0-(-3)) = 3/3 = 1
2. (-3-(-9))/(4-(-1)) = 6/5
5. (3 - 3) / (0-2.5) = 0/(-2.5) = 0
6. (0-(-4))/(0-8) = 4/(-8) = -1/2
9. (4-1)/(9-12) = 3/(-3) = -1
10. (7-7) / (1-(-5)) = 0/6 = 0
Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step
Answers
Answer:
20 Players
Step-by-step explanation:
Total Amount of Money: $2412.50
First the team rented us a bus for $1072.50
Subtract the bus from the total
$2412.50 - $1072.50 = $1340
Total Amount of Money after bus: $1340
From there we need to find the max number of players that can go.
The budget cost for each player is $67.
So we divide the remaining money by $67 to find the number of players that can go.
$1340/$67 = 20 Players.
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which inequality is equivalent to the given equality of -4(x+7)<3(x-2)
Answers
Answer:
x > 22/7
_________________________________________
Notice*
Because there are no options, we must find it algebraically.
_____________________________________________
Let's solve your inequality step-by-step.
−4(x+7)<3(x−2)
Step 1: Simplify both sides of the inequality.
−4x−28<3x−6
Step 2: Subtract 3x from both sides.
−4x−28−3x<3x−6−3x
−7x−28<−6
Step 3: Add 28 to both sides.
−7x−28+28<−6+28
−7x<22
Step 4: Divide both sides by -7.
-7x/-7 = 22/-7
x > -22/7
Answer:
x > −22/7
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?
Answers
The equation of the appropriate line of best fit is y = 1.25x + 2
How to determine the line of best fit?Start by drawing a line through the points (see attachment)
From the attached graph, we have:
(x, y) = (0,2) and (4,6.5)
Calculate the slope (m) using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6.5 - 4)/(2 - 0)
Evaluate
m = 1.25
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.25(x - 0) + 2
Expand
y = 1.25x + 2
Hence, the equation of the appropriate line of best fit is y = 1.25x + 2
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Find the distance-
Which shows the values inputted into the distance formula?
*See photo*
Answers
Answer:
A.
Step-by-step explanation:
As shown in the question we can interpret the following:
[tex]x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4[/tex]
Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.
Dr. Smith and Dr. Jones want to study the effects on a patient's arthritis that curl in the patient believes that he was she use a new ointment the control group consists of the patient who chooses to visit Dr. Smith about arthritis and they receiving an appointment with no medical value the experimental group consists of the patients who chooses to visit Dr. Jones about the right s and they receive the new ointments is this study experimental or observational
Answers
Answer:I think observational
Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.
