Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (2a-x,y)[/tex]
The triangle after a reflection over x = -3. So, the rule of reflection is
[tex](x,y)\to (2(-3)-x,y)[/tex]
[tex](x,y)\to (-6-x,y)[/tex]
The vertices of triangle after reflection are
[tex]R(3,7)\to R'(-6-3,7)[/tex]
[tex]R(3,7)\to R'(-9,7)[/tex]
Similarly,
[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]
[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]
[tex]S(-5,-2)\to S'(-1,-2)[/tex]
And,
[tex]T(3,-5)\to T'(-6-3,-5)[/tex]
[tex]T(3,-5)\to T'(-9,-5)[/tex]
Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
identify the coefficeient following expression
6a+7
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
The size of each exterior angle in a regular
polygon is 150
Work out how many sides the polygon has.
Answer: 12 sides
Step-by-step explanation: If each angle of a regular polygon measures 150°, then the polygon has 12 sides. hope this helps pls pls pls give me brainliest
What is the area of the shaded region?
a triangle has angles that measure 64 degrees and 55 degrees what is the measure of the third angle
Answer:
61
Step-by-step explanation:
the angles of any triangle combined equal 180 therefore take the known angles and subtract them from 180 getting 61
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
Two parallel lines are cut by a transversal. What is the measure of <8?
t
12
3/4 (100°)
р
5/6
78
A. 90
B. 80°
C. 100°
D. 180°
Answer:
C. 100°
Step-by-step explanation:
Line n || Line p and line t is their transversal.
Therefore,
[tex]m \angle 8 = 100 \degree \\ (corresponding \: \angle s)[/tex]
The measure of the angle ∠8 will be 100°. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Two parallel lines are cut by a transversal.
Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.
The angle 4 and angle 5 are alternate angles.
∠5 = ∠4
∠5 = 100°
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The angle 8 and angle 5 are vertically opposite angles.
∠8 = ∠5
∠8 = 100°
Thus, the measure of the angle ∠8 will be 100°.
Then the correct option is C.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal?
Answer the questions to find out.
1. Will the better deal have a lower or higher ratio of dollars per bagel?
2. What fractions do you compare to find the better deal? How did you know to pick those?
3. Which store has the better deal, Bob's Bagels or Donny's Bagels? Explain how you know
Answer:
3. Bob's Bagels is a better deal than Donny's Bagels because you get more bagels for less money at Bobs than Donnys. At Donnys Bagels you only get 4 bagels and you have to pay more. I hope that helps.
Step-by-step explanation:
Answer:
hes right
Step-by-step explanation:
What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise? Explain your answer.
Answer:
it would melt
Step-by-step explanation:
at 40 degrees, the angle will stay in its natural shape. if increased to 90 degrees on the counter, and with the wisdom of mr. clock, the angle will start to warp, and lose its shape. evidently, if the angle is heated at a steady 90 degrees, the melting process will occur, and it will make a mess on your counter. thats why, when melting angles, I recommend putting it in a container, so as to not make too big of a mess.
Half of a pan of sheet cake is leftover . Helen , Vicky , and Tina are going to equally share it . What fraction of the original sheet cake will each person get ?
Answer: 1/6 of the total sheet cake
Step-by-step explanation: 1/2 divided by 3 = 1/6
Suppose that during a given week, 20 new customers have signed up for a specialized service your company provides. Eight of these new customers are automotive companies, and the remaining twelve are financial services firms. If a random sample of 5 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that 2 of the selected customers are financial services firms
Answer:
0.2384 = 23.84% probability that 2 of the selected customers are financial services firms
Step-by-step explanation:
The customers are chosen from a sample without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
20 new customers have signed up for a specialized service your company provides.
This means that [tex]N = 20[/tex]
Twelve are financial services firms.
This means that [tex]k = 12[/tex]
Sample of 5
This means that [tex]n = 5[/tex]
What is the probability that 2 of the selected customers are financial services firms
This is P(X = 2).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,5,12) = \frac{C_{12,2}*C_{8,3}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 2 of the selected customers are financial services firms
Sasha went shopping and decided to purchase a set of bracelets for 25% off the regular price. If Sasha buys the bracelets today, she will save an additional 5%. Find the sales price of the set of bracelets with both discounts. How much money will Sasha save if she buys the bracelets today?
Answer:
she will save 8 dollars
Step-by-step explanation:
bob
Emily has 437 pennies in a
piggy bank. Round the number
of pennies Emily has to the
nearest ten.
Answer:
437 to the nearest ten is 440, hope this helps
I aould appreciate if someone helped
find the variable h+ 1/2 = 3 1/4
Answer:
h=2 3/4
Step-by-step explanation:
2 3/4+1/2=
you can convert 1/2 into 2/4 so they have like denominators
2 3/4+2/4= 2 5/4 which is also equal to 3 1/4
help w all please!!! i dont even know where to plot lol
Chang knows one side of a triangle is 13 cm. Which set of two sides iS possible for the lengths of the other two sides of this
triangle?
•
7 cm and 2 cm
•
6 cm and 7 cm
•
5 cm and 8 cm
•
8 cm and 9 cm
The 20,000 seats available at Madison Square Garden for a popular concert sold out in just 12
minutes. If the tickets sold at a constant rate, how many tickets sold in 5 minutes (min)? Round
the answer to the nearest whole number.
Answer:
8333 tickets.
Step-by-step explanation:
If you take 20,000 and divide it by 12 you get 1666.66
You then take 1666.66 and times it by 5.
The answer you get is 8333.33 but the instructions say to round it to the nearest whole number which would be 8333. Hope this helps!!
50 POINTS IF YOU HELP ME!!!!!! A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? A. 8 23 3 B. C. 8 15 23 D. 35
Answer:
= 0.3478
Step-by-step explanation:
Given:-
- The number of sophomore, S = 150
- The sophomore and had summer internship, x = 80
- The number of juniors, J = 200
- The junior and had summer internship, y = 150
Find:-
What is the probability that the person is a sophomore given that the person had a summer internship?
Solution:-
- The total sum of sophomore and junior students is N:
N = S + J
N = 150 + 200
N = 350 students.
- We will denote event A as random selection of sophomore from total.
- We will denote event B as random selection of student who had summer internship.
- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.
- The conditional probability can be written as:
P ( A / B ) = P ( A & B ) / P ( B )
Where,
P ( A & B ) : The probability the person is a sophomore and had a summer internship.
P ( B ): The probability that the person selected had a summer internship.
P ( A & B ) = x / N
= 80 / 350
= 0.22857143
P ( B ) = ( x + y ) / N
= ( 80 + 150 ) / 350 = 230/350
= 0.65714286
Therefore the required probability is:
P ( A / B ) = 0.22857143 / 0.65714286
= 0.3478 ... Answer
the answer to your question is = 0.3478
Match the vocabulary word with the correct definition. 1. axis of rotation a line around which a two-dimensional shape is rotated or revolved to create a three-dimensional shape 2. cross section the two-dimensional shape that results from cutting a three-dimensional shape with a plane 3. solid of revolution the three-dimensional shape that is produced when a two-dimensional shape is rotated or revolved around a line
Answer:
See step by step explanation
Step-by-step explanation:
Matching the vocabulary word with the correct definition, we get;
1. Axis of Rotation: a line around which a two-dimensional shape is rotated or revolved to create a three-dimensional shape.
It is a straight line through a rigid body when all its part are in rotation.
2. Cross section: the two-dimensional shape that results from cutting a three-dimensional shape with a plane. It is a internal view of an object that is made by cutting through it.
3. Solid of Revolution: the three-dimensional shape that is produced when a two-dimensional shape is rotated or revolved around a line. In mathematics, it is a solid shape that is obtained by revolving a curve around an axis.
Which shows the correct way to combine like terms for the expression below?
5x + 4 - 2 + 4x
9x + 2
9x + 6
x - 2
x + 2
Answer:
9x+2
Step-by-step explanation:
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
What value of x satisfies the equation?
2(5x - 20) - (15 + 8x) = 7
Answer:
x=31
Step-by-step explanation:
10x -40 -15-8x=7
2x - 40 -15 =7
2x -55 =7
2x-55+55 = 7 + 55
2x=62
2x/2=62/2
x=31
Step-by-step explanation:
10x-40-15+8x=7
2x-55=7
2x=7+55
2x=62
X=31
-4x=24
solve da equation
Answer:
You have -4x=24.
well if you divide -4 and 24 you will get -1.6
Step-by-step explanation:
What is the Pythagorean triple generator and how does it work?
Answer:
Step-by-step explanation:
The Pythagorean Theorem states that
[tex]a^2+b^2=c^2[/tex]
or that the two legs added together squared equal the hypotenuse squared
not: this only works with right triangles
Now Pythagorean triples are the set of sides that follow that rule
an example would be 3,4,5
why is it a Pythagorean triple?
well because it follows
[tex]a^2+b^2=c^2[/tex]
[tex]3^2=9\\4^2=16\\16+9=25\\5^2=25[/tex]
25=25
Choose the sentence that does not have any errors in spelling or punctuation.
Someone who sells tickets is always in the ticket wagon, which is stationary in spite of its wheels.
Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationary in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationery in spite of its wheels.
Answer: Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Step-by-step explanation: Do usage of the comma in answers C , and D are incorrect , so that leaves us with answers A and B , in option A stationery is miss spelled so your answer would be : Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Need answer this urgent and fast
Answer:
56
Step-by-step explanation:
Hey There!
so this is a parallelogram so opposite angles are congruent
So basically what i am saying is that angle P is congruent to angle R
So we need to solve for x
We know that angle P and angle Q are supplements meaning that they will add up to 180
so we setup the equation
[tex]180=3x+5+8x-12\\[/tex]
step 1 combine like terms
[tex]3x+8x=11x\\5-12=-7[/tex]
now we have
180=11x-7
step 2 add 7 to each side
180+7=187
-7+7 cancels out
now we have
187=11x
step 2 divide each side by 11
187/11=17
x=17
now we plug in 17 to (3x+5) to get the value of angle R
17x3=51
51+5=56
therefore m∠R = 56
Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
simplify 45÷3+2×8-12+43
Answer:
62
Step-by-step explanation:
divide, then multiply, then calculate the sum or difference and you should get 62
Answer:
Many ways
Step-by-step explanation:
One of them being:
1. 15 + 16 -12 +43
Answer is 62 if wondering
(Brainliet?)
First, divide 45 by 3 which is 15
Then, multiply 2 and 8 which is 16
Add 15 and 16 which is 31
Subtract 12 and get 19
Add 43 adn get 62
What is 3r-2 ?? Algebra is not my strong suit
Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?
Answer:
$42,000
Step-by-step explanation:
60,000 × .14 × 5 = 42,000