please solve these questions for me. i am having a difficult time understanding.
Answers
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
Related Questions
An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160
Answers
Answer:
plan A
Step-by-step explanation:
Which equation could generate the curve in the graph below?
Answers
Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
[tex]y = 3 {x}^{2} - 2x + 1[/tex]
[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]
[tex]D = - 8[/tex]
[tex]D < 0[/tex]
Option 2,
[tex]y = 3 {x}^{2} - 6x + 3[/tex]
[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]
[tex]D = 0[/tex]
Option 3,
[tex]y = 3 {x}^{2} - 7x + 1[/tex]
[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]
[tex]D = 37[/tex]
[tex]D > 0[/tex]
Option 4,
[tex]y = 3 {x}^{2} - 4x - 2[/tex]
[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]
[tex]D = 40[/tex]
[tex]D > 0[/tex]
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).
Option 1,
y =3x² - 2x +1
D = b² - 4ac
D = ( -2 )² - ( 4 x 3 x 1 )
D = 4 - 12
D = -6
D < 0
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Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answers
Answer:
there are 25 nickels and 30 dimes
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Answers
Find the output. y. when the input. . is -5.
Answers
Answer:
The answer is 7.
Step-by-step explanation:
You would find -5 on the graph and go up until you see the line, and where it ends, is your answer or output. 7.
Answer:
(-5, 7)
Step-by-step explanation:
Draw a vertical line through x = -5 and determine the point at which this line intersects the graph. You'll find that that point is (-5, 7).
Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please
Answers
Answer:
C: 13/32
Step-by-step explanation:
Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer
Answer:
13/32 left over.
Step-by-step explanation:
First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.
To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!
Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!
The desk is 1/2 as wide as it is long. If the desk is D meters long, how wide is the desk?
Answers
Answer:
1/2D meters
Step-by-step explanation:
I hope this helps
Answer:
(1/2)D
Step-by-step explanation:
The width is half the length, so is ...
(1/2)D or D/2 . . . meters wide
What is the remainder in the synthetic division problem below?
O A. 5
O B. 9
O O. 3
O D. 7
Answers
Answer:
The answer is option D.
I hope it's what you require.
Answer:
D) 7
Step-by-step explanation:
1 / 4 6 -3
4 10
4 10 7
Step 1: Carry down the first number 4 as it is
Step 2: Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10
Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7
And now 7 is the remainder
In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.
Answers
Answer:170
Step-by-step explanation:
The measure of angle LNP is 275 degrees.
What is the inscribed angle theorem?The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.
In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.
The measure of angle LNP is determined in the following steps given below.
[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]
Hence, the measure of angle LNP is 275 degrees.
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which expression below would not be equivalent to 12n+ 6
1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)
Answers
Answer:
4)12(n+4)
=12n+48
Step-by-step explanation:
Answer:
4) 12(n + 4) = 12n + 48
Step-by-step explanation:
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$
.
Answers
Answer:
c
Step-by-step explanation:
Answer:
$62
Step-by-step explanation:
Estimate the solution to the system of equations.
Answers
Answer:
Find it in the explanation
Step-by-step explanation:
Equate the two solutions.
2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.
Now we get
4x+6y=12 and
-4x+3y=12
Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.
Adding these two equations together, I get:
9y=24
y=24/9
in fraction form y= 2 and 2 thirds.
Plug that in any of the equations and solve for the value of x, which will be -1
Therefore, the coordinates are (-1, 2 and 2/3)
Answer:
The answer is x= -1/2 and y= 7/3 or 2whole 1/3.
hope it helps..
Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)
Answers
Answer:
point a is the maximum
Step-by-step explanation:I took the test
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answers
Answer:
[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]
Step-by-step explanation:
The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.
Answer:
A
Step-by-step explanation:
What is the value of log,(5)1252
3
5
15
25
Answers
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answers
Answer:
Options?
Step-by-step explanation:
Answer:
3.7 meters
Step-by-step explanation:
ten times a number increased by eighty four equals 194. what is the number
Answers
Answer: x = 11
Step-by-step explanation:
10x+84=194
10x = "10 times a number"
+84 = "increased by eighty four"
=194 = "equals 194"
10x+84=194
Subtract 84
10x = 110
Divide by 10
x = 11
Hope it helps <3
Answer:
The number is 11
Step-by-step explanation:
Represent the number by n.
Then: 10n + 84 = 194.
Subtracting 84 from both sides, we get: 10n = 110, and so:
n = 110/10 = 11
What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10
Answers
Answer:
5.4Step-by-step explanation
First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
What is arithmetic mean?The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
According to the given question we have
A data set 6, 4, 1, 9, 3, 8, 3, 5, 10
The total numbers in the given data set is 9
Therefore, the arithmetic mean of the given data set is given by
Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]
⇒ Arithmetic mean = [tex]\frac{49}{9}[/tex]
⇒ Arithmetic mean = 5.4
Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
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a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.
Please help due today
Answers
Answer:
X=149-57+23
Step-by-step explanation:
X=149-57+23
Answer:
distance = 149 -57 +23
(-) is backward
(+) is forward
Triangle DEF will be rotated 180° clockwise. Where will D’ be located?
a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)
Answers
Answer:
a. (4, -7)
Step-by-step explanation:
Point D is at (-4,7).
Rule for a 180° rotation clockwise around the origin:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to point D:
[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]
Option A should be the correct answer.
Brainilest Appreciated.
Answer:
a. (4, -7)
Step-by-step explanation:
Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always
Answers
Answer:
I believe it is never
Step-by-step explanation:
Sorry if I'm wrong ...
[tex]if \sqrt{p ^{2} } +1= \frac{5}{4} .Find the postive value of p[/tex]
Answers
Answer:
Positive value of p = 1/2
Step-by-step explanation:
Given:
[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]
Find:
Positive value of p
Computation:
[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]
Positive value of p = 1/2
- (1 /-11 )( 77+1100)
Answers
-(1/-11)(77+1100)=107
Answer:
107
Step-by-step explanation:
-(1/-11)(77+1100)
1/11(1177)
=107
WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.
Answers
Answer:
Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.
Step-by-step explanation:
In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.
Answers
Answer:
30°
Step-by-step explanation:
Hey, srry for the inaccurate sketch
I hope you will understand the way I solved it
If not, don't hesitate to ask questions ;)
Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).
Answers
Answer:
50
Step-by-step explanation:
this is confusing and I'm a straight A student in highschool.I'm a junior to be exact
Answer:
the correct answer is that the students infinitely many parallelograms
according to a recent study the probability that a randomly selected individual wears glasses is 0.23. suppose you ask a random sample of 18 individuals if they wear glasses and count the total. how many individuals out of 18 would you expect to wear glasses, on average?
Answers
Answer:
4
Step-by-step explanation: 18x.23 = 4.14
Answer:
4
Step-by-step explanation:
Write the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answers
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answers
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
No explanation needed answer fast TY
Answers
Answer:
50.24
Step-by-step explanation:
The first step is to find the area of it if it was a whole circle
you get this by squaring the radius
8*8 or 8^2= 64
then, you have to multiply it by 3.14 which gives you
200.96.
Then divide it by 4 to get a quarter of the circle to get the final answer
50.24
Hope this helps, if it does, please give me brainliest, it will help a lot :)
Have a good day