Answers
Answer:
The correct option is;
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
Step-by-step explanation:
With the assumption that that the question meant that ΔACD and ΔBCD are congruent, we have;
Segment [tex]\overline {AC}[/tex] is congruent to segment [tex]\overline {BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Similarly, segment [tex]\overline {DA}[/tex] is congruent to segment [tex]\overline {DB}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Therefore, the points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
Related Questions
The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute takes. If the average ammount of time she takes to get to work is 45 minutes
Answers
Answer:
The average time to commute to work is 25 minutes.
Step-by-step explanation:
If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.
The Figure is a parallelogram. solve for x
a) x=1
b) x=11
c) x=7
d) x=7
Answers
Step-by-step explanation:
Try B I'll cry if it's not B
Parabola Equations - Algebra
Please explain working clearly.
Help greatly appreciated,
Thanks!
Answers
Answer:
[tex]\displaystyle h=-\frac{1}{6}x^2+2x[/tex]
Step-by-step explanation:
We are given that the height of the tunnel is modeled by:
[tex]h=rx^2+tx[/tex]
Where r and t are constants.
We are also given that the maximum height of the tunnel h is six meters.
And at ground level, the width is 12 meters.
And we want to determine the equation of the parabola.
First, since this is a quadratic, our maximum height h will occur at the vertex of our equation.
Recall that the vertex is given by the formulas:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In our case, we have the function:
[tex]h=(r)x^2+(t)x[/tex]
Hence, a = r; b = t; and c = 0.
Therefore, the x-coordinate of our vertex is:
[tex]\displaystyle x = -\frac{t}{2r}[/tex]
Therefore, if we substitute this back into our equation, the result should be six since six is the maximum height. Hence:
[tex]\displaystyle (6)=r\left(-\frac{t}{2r}\right)^2+t\left(-\frac{t}{2r}\right)[/tex]
Simplify:
[tex]\displaystyle 6=r\left(\frac{t^2}{4r^2}\right)-\frac{t^2}{2r}[/tex]
Simplify:
[tex]\displaystyle 6=\frac{t^2}{4r}-\frac{t^2}{2r}[/tex]
Subtract:
[tex]\displaystyle 6=\frac{t^2}{4r}-\frac{2t^2}{4r} = -\frac{t^2}{4r}[/tex]
Multiply:
[tex]\displaystyle 24r=-t^2, \, r\neq 0[/tex]
Solve for r:
[tex]\displaystyle r=-\frac{t^2}{24}[/tex]
Next, we are given that the width is 12 meters at ground level.
Hence, when h = 0, the difference of our roots is 12:
We have:
[tex]0=rx^2+tx[/tex]
Factor:
[tex]0=x(rx+t)[/tex]
By the Zero Product Property:
[tex]x=0\text{ or } rx+t=0[/tex]
Hence, the first zero is 0.
Therefore, the second zero must be 12 to ensure that our width is 12.
Let's isolate the second zero. Subtract t from both sides:
[tex]rx=-t[/tex]
Divide both sides by r:
[tex]\displaystyle x=-\frac{t}{r}[/tex]
We know that this zero must be 12. Thus:
[tex]\displaystyle 12=-\frac{t}{r}[/tex]
We have previously solved for r. Substitute:
[tex]\displaystyle 12=-\frac{t}{-\dfrac{t^2}{24}}[/tex]
Simplify:
[tex]\displaystyle 12=\frac{24}{t}[/tex]
Take the reciprocal of both sides:
[tex]\displaystyle \frac{t}{24}=\frac{1}{12}[/tex]
Multiply. Hence, the value of t is:
[tex]t=2[/tex]
Find r. Recall that:
[tex]\displaystyle r=-\frac{t^2}{24}[/tex]
Therefore:
[tex]\displaystyle r=-\frac{(2)^2}{24}=-\frac{4}{24}=-\frac{1}{6}[/tex]
Then in conclusion, our equation will be:
[tex]\displaystyle h=-\frac{1}{6}x^2+2x[/tex]
Find the measure of the indicated angle to the nearest degree.
A. 36
B. 30
C. 54
D. 60
Answers
Answer:
54 degrees
Step-by-step explanation:
This is trigonometry. So we are given the adjacent leg and hypotenuse. So we can use cosine(cah from soh cah toa)
We will have to use the inverse of the trig ratios.
Remember!
cos^-1 is not 1/cos(that is sec)
cos^-1(27/46)
acos(27/46)
54.0586701 and so on
Round to nearest degree 54
Hernando ate 2/8 of a pizza for a dinner. he gave his 6 friends the rest of the pizza, and told them to share equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below.
6/8 divided by 6= (6 divided by 6)/8= 1/8
he concluded that each person received 1/8 of the whole pizza. Are Hernando's calculations correct?
O yes they are correct. Hernando divided 6 by 6
O yes they are correct. Hernando divided 2/8 by 6
O No they are not correct. Hernando should have multiplied by 6, not divided by 6
O No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.
Answers
Answer: yes correct . hernando 6 by 6
Step-by-step explanation:
Answer:
yes they are correct. Hernando divided 6 by 6
Step-by-step explanation:
Hernando ate 2/8 of a pizza for a dinner.
he gave his 6 friends the rest of the pizza, and told them to share equally.
Rest pizza portion=1-2/8
=6/8
6/8 pizza divided into 6 person
6/8÷6
1/8
So 1/8 portion get each person
So the option a is correct
yes they are correct. Hernando divided 6 by 6
NEED ANSWER ASAP ONLY 4 min
Answers
Answer:
A
Step-by-step explanation:
-4x-10≤2
-4x≤12 Add 10 on both sides
-x≤3 Divide by 4 on both sides
x≤-3 put a negative on both sides
Hope this helps :D Please mark brainliest if correct :D
Answer:
[tex]x \geqslant - 3[/tex]
it's b
In 73.96 which digit is in the ones place?
Answers
Answer:
the 6
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
73.96
7 is in the tens place
3 is in the ones place
9 is in the tenths place
6 is in the hundredths place
Hope this helps :)
Is a function or non function explain
Answers
Answer:
It is a non function.
Step-by-step explanation:
Numbers cannot repeat in functions
Mr. Smith went to buy a refrigerator. He had $346. The refrigerator cost $783.
Part A
About how much more money does Mr. Smith need in order to buy the refrigerator?
Round your answer to the nearest hundred dollars.
Part B
After visiting the bank ,Mr.Smith paid $800 for the refrigerator.How much change did he receive Mr.Smith receive in change ?
Answers
Answer:
Part A- $400
Part B- $17
Step-by-step explanation:
Answer:
A- 400.00 more dollars.
B- 17 dollars in change.
Step-by-step explanation:
783-346 and then round up.
800-783 for change
Find the value of x so that the function has the given value.
j(x) = -4/5 +7; j(x) = -5
X =
Answers
Answer:
-78
Step-by-step explanation:
-4/5+7;j(x0= -5
-4/5 equals 0.8
0.8 equals 80
-80+7= -73
-73 - -5= -78
X= -78
Please tell me if wrong
simplify completely 1/2 +1/4
Answers
Answer:
1/2+1/4
4/8+2/8
6/8
3/4
Step-by-step explanation:
Answer:
The answer is 3/4.
Step-by-step explanation:
1/2+1/4
First we want to get a common denominator so that they can be added together.
1/2 * 2/2 = 2/4
We multiplied 1/2 by 2/2 so that both terms have a denominator of 4. Note that we also multiplied the top and bottom of 1/2 because we have to keep the value of the fraction the same.
Now we just add the fractions together.
2/4 + 1/4 = 3/4
So 3/4 is the answer. It is already in its simplest form meaning it cannot be simplified further.
is a triangle with the angles 80, 40, and 40 an unique triangle
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
hope this helps
1+1 i a struggling whit this answer plz help
Answers
Answer:
the answer u r looking for is 5 I might be wrong tho lol
What are the slope and the y-intercept of the linear function that is represented by the table? O the slope is -2/5 and the y-intercept is -1/3. O the slope is 1/3 and the y-intercept is -2/5 O the slope is 2/5 and the y-intercept is -1/3
Answers
Answer: the correct answer is A I promise I just did it “the slope is -2/5, and the y-intercept is -1/3”
Step-by-step explanation:
I got it wrong bc somone gave me the wrong answer
What is the surface area?
5 m
5 m
5 m
square meters
Submit
Answers
Answer:
15 and np
Step-by-step explanation:
add 5 + 5+ 5
A popular news article currently has 50,600 page views, and that number is rising 36% every hour. How many page views will the article have in seven hours? If necessary round your answer to the nearest whole number
Answers
Answer: 320,172 views
Step-by-step explanation: To figure this out first multiply 50,600 by .36, finding out what the 36% increase is, the get the answer which is 68,816. Then you continue and do that six more times to get the answer of 320,172.45573 which rounded is 320,172 views.
whats the unit rate of $390 and 14ft2?
Answers
Answer:
≈ $27.86 per ft^2
Step-by-step explanation:
Which of the following best explains why this relation is not a function?
A The input includes 0.
B The input is mapped to the same value as the output.
C One input value is mapped to two different output values.
D Two different input values are mapped to the same output value.
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
knowledge
Answer:
Is C
Step-by-step explanation:
what is l the value of x in the equation 4-[6+2(x - 4)] = 4x - 2(x+3)
Answers
You want to know the opinions of drivers with valid licenses across America on the issue of establishing a law that requires individuals to take and pass another driver's test at the age of 65 to determine whether they may retain their license. You obtain a list of all licensed drivers and mail a survey to a random sample of 10,000 drivers. Of those, 6,457 responded and 46% say they favor the test. Which of the following statements is true? (5 points)
A. Because random sampling is used, we can feel confident that the percentage of all
drivers with a valid license who say they favor the test is close to 46%.
B. The results of this survey may be affected by nonresponse bias.
C. We cannot trust these results because the survey was mailed. Only survey results
from face-to-face interviews are considered valid.
D. Because more than half of those who were mailed the survey actually responded,
we can feel fairly confident that the actual percentage of all drivers with a valid
license who say they favor another test is close to 46%.
Answers
Answer:
The results of this survey may be affected by nonresponse bias
Step-by-step explanation:
Took the test :)
Answer:
B. The results of this survey may be affected by nonresponse bias.
Step-by-step explanation:
I took the test
hello help me this Question
Answers
Hope it helped!
John writes the proof below to show that the sum of the angles in a triangle is equal to 180 degrees
Which would John NOT need to use in his proof?
A.The sum of the angles on ore side of a straight line is 180
B. If a statement about a is true and a = b statement formed by replacing a with b is also true.
C.When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
D. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent
Answers
Answer: A
Step-by-step explanation:
The proof that is not needed John's proof is When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent
The following proof are needed.
When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. This is why ∠4≅∠1 and ∠5≅∠3. The sum of the angles on one side of a straight line is 180. That is why m∠4 + m∠2 + m∠5 = 180°If a statement about a is true and a = b statement formed by replacing a with b is also true.m∠4 + m∠2 + m∠5 = 180° (sum of angles on a straight line)
∠4≅∠1 and ∠5≅∠3 (alternate interior angles)
Therefore,
∠1 can replace ∠4 and ∠3 can replace ∠5
m∠1 + m∠2 + m∠3 = 180°
Therefore, When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent is not needed.
read more: https://brainly.com/question/19633821?referrer=searchResults
Barbara spent x dollars at the video store. If Rachel spent 4 times the amount Barbara spent at the video store, how much did they spend together, in dollars
Answers
Answer:
4*x
Step-by-step explanation:
Rachel spent 4 times more, so you multiply.
You need to multiply 4 and x.
The expression would be 4*x
Find the value of F(5) for each function
F(x)=6+3x
Answers
Answer:
21
Step-by-step explanation:
f(5)=6+3(5)
f(5)=6+15
f(5)= 21
Answer:
Step-by-step explanation:
F(5)=6+3(5)
F(5)=6+15
F(5)=21
NEED HELP ASAP PLEASE CLICK ON PHOTO!!
Answers
Explanation:
Every triangle is equal to 180 degrees
We know that there is a right angle so
180-90=90
90/2=45
Hope this helps!!
uhm can yall give me an answer with explanationn plss
Answers
Answer:
123 degrees
Step-by-step explanation:
Angles in a quadrilateral add up to 360 degrees
so we add all the angles
114 + 80 + 43 which is 237
360 - 237 is 123
so angle x is 123 degrees
a list of values that can be ordered from least to greater
Answers
Step-by-step explanation:
50, 278, 976, 6866, 68, 48.77, 68 1/9
Liz is making cookies for the annual bake sale at her
school. Each batch of cookies takes 2 3/4 cups of flour. If Liz
needs to makes 6 batches, how many cups of flour will
she need for all six batches?
Answers
Answer:
9
Step-by-step explanation:
It is very simple, 3/4 * 2 = 1.5
If we take 1.5 and multiply it by the amount of batches being made (6), we will have our answer.
1.5*6 = 9, so there we have our answer.
Hope this helps!
Please help quick
Screenshot Below ( WILL mark as brainliest )
Answers
Answer:
-1/3
Step-by-step explanation:
Our points are as follows:
x1= 0
y1= 2
x2= 3
y2= 1
Now we use the slope formula rise/run and we plug in the numbers
1-2= -1
3-0= 3= -1/3
Please helpp i need this rn if possible
Answers
Answer:
140, 60
Step-by-step explanation:
15x+5 + < CDB =180 line form an 180 angle
180-80-6x-6 = < CDB sum of angles in a triangle is 180
substitute < CDB from second to first
15x+5+180 -80-6x-6 =180
combine like terms
9x -81 =0
x=81/9=9
so angle YDC = 15*9+5 = 140 degrees
and angle DBC = 6*9+6= 60 degrees
