a counterexample to this claim is a square
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles. Find the distance from city B to city C
Answer:
10 miles
Step-by-step explanation:
A & B is 100
A & C is 110
the difference is 10, Which should make B & C 10 miles
The distance from city B to city C will be 10 miles.
What are collinear points?An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.
Let A, B, C, and D be the collinear points. Then the condition of the collinear will be
AB + BC = AC
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.
The distance from city B to city C will be given as,
AB + BC = AC
100 + BC = 110
BC = 110 - 100
BC = 10 miles
The distance from city B to city C will be 10 miles.
More about the collinear points link is given below.
https://brainly.com/question/1593959
#SPJ2
I. Let xOy be an angle, A and are two points on [Ox), C and D are two points on [Oy)such
that OC = OA and OD = OB.
a) Show that triangles OAD and OCB are congruent.
b) Give the corresponding congruent elements.
c) Prove that AB = CD.
d) Let I be the point of intersection of [AD] and [BC]. Show that the two triangles IAB and ICD
are congruent.
e) Compare IA and IC.
f) Prove that (OI) is bisector of xOy
Answer:1. Angle-Side-Angle (ASA) Postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)
Step-by-step explanation:
Graph the rational function f(x)=2x-3 over x+4
Answer
Here is the graph of f(x).
graph{-(x)/((2x-3)(x+4)) [-10, 10, -5, 5]}
Can you identify a cluster on a scatter plot
Answer:
[see below]
Step-by-step explanation:
There are no given options, but here's a basic definition of a cluster:
Clusters are points on a scatter plot that have very close value to one another, which results in the points being "grouped together". I have attached an example of a cluster.
Hope this helps.
Answer:
some times the data points in a scatter plot form distinct group. these groups are called cluster
Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought three pairs of sunglasses and two shirts for $81 and Paula bought one pair of sunglasses and five shirts for $105. What is the cost of one pair of sunglasses and one shirt? The cost of one pair of sunglasses is $15 and the cost of one shirt is $18. The cost of one pair of sunglasses is $18 and the cost of one shirt is $15. The cost of one pair of sunglasses is $12 and the cost of one shirt is $23. The cost of one pair of sunglasses is $23 and the cost of one shirt is $12.
Answer:
a
Step-by-step explanation:
1. Choose a person.
2. Substitute the numbers into the correct values.
105 - 15 = ?/5 = 18
105 - 18 = ?/5 = 3.48
105 - 12 = ?/5 = 18.6
105 - 23 = ?/5 = 16.4
It is A because it is the only one in which the answer is equivalent to the cost.
Hope this helps:)
Answer:
The answer is A. .
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of sunglasses bought and [tex]t[/tex] represent the amount of shirts bought.
Scarlet bought 3 pairs of sunglasses and 2 shirts for $81. In other words:
[tex]3s+2t=81[/tex]
Paula bought one pair of sunglasses and five shirts for $105. In other words:
[tex]s+5t=105[/tex]
We have a system of equations and can solve it by isolating [tex]s[/tex].
[tex]s+5t=105[/tex]
[tex]s=105-5t[/tex]
Now, substitute.
[tex]3s+2t=81[/tex]
[tex]3(105-5t)+2t=81[/tex]
[tex]315-15t+2t=81[/tex]
[tex]-13t=-234[/tex]
[tex]t=18[/tex]
Now, determine [tex]s.[/tex]
[tex]s=105-5t[/tex]
[tex]s=105-5(18)[/tex]
[tex]s=15[/tex]
Thus, a pair of sunglasses is $15 and a shirt is $18.
If x = 5, what additional information is necessary to show that ADAC ZABAC by SAS?
A. ZDE ZB
B. DC BC
C. ZDCA ZBCA
D. AD= AB
a rectangle is 14 inches long and 4 inches wide. a smaller, similar rectangle is 2 inches wide. to the nearest inch what is the length of the length of the smaller rectangle A 3 1/2 inch B 7 inch C 8 inch D 28 inch
Answer:
7
Step-by-step explanation:
4/2 = 14/x, cross multiply and simplify, x=7
Answer:
7
Step-by-step explanation:
Since the rectangle is 14 inches long and 4 inches wide, and the similar rectangle is 2 inches wide we can set up a proportion. We have[tex]\frac{14}{4} = \frac{x}{2}[/tex]. Now we can cross multiply. We get 28 = 4x, and x = 7.
Classify the following real numbers as rational or irrational:
Answer:
a. rational - It can be written as a fraction so it's rational.
b. rational - Simplified it equals to 9, a whole, therefore rational, number.
c. irrational - Even once simplified, it contains a square root, therefore it's irrational.
d. rational - It can be written as a fraction so it's rational.
e. irrational - It cannot be simplified from a square root, therefore it's irrational.
If a translation maps point (3, 2) to (4, 5); or T: (3, 2) —>(4,5), indicate the image for (2,4).
O (3,7)
O (2,-1)
O (5,3)
Answer:
(5,3)
I'm not soooo sure I'm %50 sure
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:30,000
Step-by-step explanation:
I need help please........
Answer:
the answer is option A
[tex]\left[\begin{array}{ccc}56&56&-14\\-126&92&62\\-78&26&2\end{array}\right][/tex] I HAVE CHECKED THE VALUES THIS ANSWER IS CORRECT
Step-by-step explanation:
Find the slope of the line that passes through (93, -6) and (11, 24).
Answer:
-15/41
Step-by-step explanation:
Answer:
-15/41
Step-by-step explanation:
We can use the slope formula since we have 2 points
m = (y2-y1)/(x2-x1)
= (24 - -6)/(11 - 93)
= (24+6)/ (-82)
= 30/ -82
-15/41
Choose the algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure. answwers: A) (x, y) → (x + 4, y + 5) B) (x, y) → (x – 4, y – 5) C) (x, y) → (x – 4, y + 5) D) (x, y) → (x + 5, y – 4)
Answer:
C. (x, y) -> (x - 4, y + 5)
Step-by-step explanation:
A is at (2, -2)
A' is at (-2, 3)
To get from 2 to -2, you must subtract 4, so (x - 4)
To get from -2 to 3, you must add 5, so (y + 5)
(x - 4, y + 5)
I hope this helps :))
The algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure should be option C. (x, y) -> (x - 4, y + 5)
Algebraic description:Since
A is at (2, -2)
A' is at (-2, 3)
So,
To get from 2 to -2, you should deduct 4, so (x - 4)
And,
To get from -2 to 3, you should deduct 5, so (y + 5)
Therefore,
(x - 4, y + 5)
Learn more about algebraic here: https://brainly.com/question/24754151
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
9120
Step-by-step explanation:
Given ;
Total people =96
It means 48 are male and 48 are females
Handshake can be determined by = Handshake of male+ handshake of female
=48*95+48*95
=4560+4560
=9120
What is the value of x
Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
-16 + 2x = -32 + 8x
X =
Answer:
[tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
Add 16 to both sides:
2x = -16 + 8x
Subtract 8x from both sides
-6x = -16
Divide by negative -6
x = 8/3
Answer:
x = 8/3
Step-by-step explanation:
-16 + 2x = -32 + 8x
Subtract 2x from each side
-16 + 2x-2x = -32 + 8x-2x
-16 = -32 + 6x
Add 32 to each side
-16+32 = -32+32 +6x
16 = 6x
Divide by 6
16/6 = 6x/6
8/3 =x
If you travel 200 miles in 300 minutes. How fast did you travel in MPH...mile per hour?
Answer: 40 miles per hour
Step-by-step explanation:
first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)
then you devide 200 by 5 to get 40 miles per hour
Evaluate the following:
Answer:
[tex]3\frac{17}{24}[/tex]
Step-by-step explanation:
[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]
14x6= 84/6
84/6 +1/6 = 85/6
10 x 24= 240/24
240/24 +11/24 = 251/24
85x 4 = 340
340-251= 89/24
3 17/24
Please I need help with this ASAP..Thanks
Answer:
c
Step-by-step explanation:
bruh
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
BC=10
Step-by-step explanation:
BD-BC=14-4=10
Answer:
BC is 10
Step-by-step explanation:
BD is the whole thing
CD and BC make up BD
so BD-CD=BC
14 - 4 = 10
BC is 10
Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form
Answer:
y = 0.5x + 3
Step-by-step explanation:
First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;
[tex]( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5[/tex]
I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;
[tex]y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3[/tex]
Please help me answer this question ASAP!
Answer:
B, D and E are correct
Step-by-step explanation:
because
4(3n-2)=4*3n-4*2=12n-8
4n+4-12+8n=12n-8
11n+4+n-12=12n-8
hope this helps
some steps to construct an angle MNT congruent to angle pqr
Which of the following correctly expresses sin (70) + sin(30) as a product?
:
Select the correct answer below:
-2 sin (50)cos (20)
2sin (50)sin(20)
2sin(50)cos(20)
2sin(20)cos (50)
Answer:
2sin50 cos20
Step-by-step explanation:
We need to write sin (70) + sin(30) as a product. The formula used here is :
[tex]\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})[/tex]
Here, A = 70 and B = 30
So,
[tex]\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20[/tex]
So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).
It costs $38 for 2 people to go to the movie theater, 40% of the money was for snacks What was the cost of each movie ticket?
Answer:
$11.40
Step-by-step explanation:
$38 for 2 people to go to the movie theater.
38/2=19
$19 for each person to go to the movie theater.
40% of the money is for snacks, the movie ticket must be 60% of the money.
19×60%
19×60/100=11.4
The cost of each movie ticket is $11.40
Answer:
$11.4
Step-by-step explanation:
Total Cost = $38
Snacks:
=> [tex]\frac{40}{100}* 38[/tex]
=> $15.2
Left for 2 tickets:
=> $38-$15.2
=> $22.8
For 1 ticket:
=> $22.8/2
=> $11.4
Find the exact values of the following, giving your answers as fractions.
a) 2^-3
b) 3^-2
c) 10^-4
Answer:
a) 1/8
b) 1/9
c) 1/10,000
Step-by-step explanation:
When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:
x^-y = 1/x^y (i apologize, exponents on here are really messy)
Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8
b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9
c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.
Sorry fractions and exponents don't work well on my computer. Hope this helps!
Which equation represents that line that passes through (-6,7) and (-3,6)
Answer:
B. [tex]y=-\frac{1}{3}x+5[/tex]
Step-by-step explanation:
PLS HELP 30 PIONTS AND I HAVE NO IDEA HOW TO DO IT SO MOST EXPLANATORY GETS BRAINLIEST
Answer:
9y+24
Step-by-step explanation:
2(3y+6)-3(-4-y)
6y+12+12+3y
9y+24
Answer:
[tex]9y+24[/tex]
or
[tex]3(3y+8)[/tex]
Step-by-step explanation:
The expression is:
[tex]2(3y+6)-3(-4-y)[/tex]
In order to simplify the expression first multiply the numbers inside the parenthesis by the factor:
[tex]6y+12+12+3y[/tex]
[tex]6y+24+3y[/tex]
[tex]9y+24[/tex]
Another alternative is:
[tex]3(3y+8)[/tex]
Because 3 is a common factor of 9 and 24
What is the quotient of 6/7 and 3/14
One-fourth
2
3 and one-third
4
Answer:
4
Step-by-step explanation:
When we want to find a quotient, what we do is that we switch the numerator and the denominator of the second fraction and then we multiply the two resulting fractions. If we have [tex]\frac{6}{7}[/tex] and [tex]\frac{3}{14}[/tex], doing this we would have:
[tex]\frac{6}{7}(\frac{14}{3})=\frac{84}{21} = \frac{28}{7} =\frac{4}{1}=4[/tex]
Thus, the right answer is 4.
You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?
Answer:
2 hours
Step-by-step explanation:
We want to find the unit rate, or time per flower arrangement.
To find the unit rate, divide the number of hours by the number of flower arrangements.
hours/flower arrangements
It takes 20 hours to assemble 10 flower arrangements.
20 hours/ 10 flower arrangements
Divide 20 by 10 (20/10=2)
2 hours/ flower arrangement
It take 2 hours to assemble one flower arrangment.