Answer:
The measure of angle Q'R'S' is 35°
Step-by-step explanation:
The given parameters are;
The measure of angle QRS = 35°
The transformation applied to triangle QRS = 90° clockwise rotation
For a 90° clockwise rotation, we have;
Coordinate of the preimage (x, y), coordinate of the image after rotation (y, -x)
Given that the distance, d, between points is given by √((x₂ - x₁)² + (y₂ - y₁)²), we have that the distance between points of the image will be given as follows;
d' =√((y₂ - y₁)² + ((-x₂) - (-x₁))²) = √((y₂ - y₁)² + (x₁ - x₂)²)
Whereby we have √((y₂ - y₁)² + (x₁ - x₂)²) = √((x₂ - x₁)² + (y₂ - y₁)²)
Therefore, d = d' and the length of the sides and measures of the angles in ∠QRS and ∠Q'R'S' will be equal and ∠Q'R'S' = ∠QRS = 35°.
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
Milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving. What was the percent increase in iron?
Answer:
48.76%
Step-by-step explanation:
Here is the complete question;
A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?
Given
Initial amount of iron in cereal per serving = 1.21mg
final amount of iron in cereal per serving =1.8mg
Required
Percentage increase in iron
Increment = 1.8mg - 1.21mg
Increment = 0.59mg
% increase in iron = increment/original amount * 100%
% increase in iron = 0.59/1.21 * 100
% increase in iron = 0.4876 * 100
% increase in iron = 48.76%
Hence the percent increase in iron is 48.76%
HURRY PLEASE!!!! BRAINLEST FOR FIRST ANSWER!!!
Gregg has quarters and p pennies. His brother has 4 times as many quarters and 8 times as many pennies as Gregg has. Write the sum of the number of coins they have, and then combine like terms.
If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp
Since the box represents a proportional relationship, the empty box would be = 22.
What is a proportional relationship between two variables?When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.
For example, using the figures given above;
8 pages of notes = 16hours
1 page = 16/8 = 2 hours
Therefore, each page should be times by two to give the number of hours.
Learn more about multiplication here:
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PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
1.C 2.A
Step-by-step explanation:
FIRST
Answer:
1= C
5= A
Step-by-step explanation:
3) Solve this system of linear equations by elimination.
y=x-1
2x-y=0
*x=-1,y=-2
*x=1,y=2
*x=2,y=1
*x=-2,y=-1
Answer:
Solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
Step-by-step explanation:
We are given equations:
[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]
We need to solve by Elimination method.
Elimination method: Add or subtract the equations to get an equation in one variable.
Rearranging the equation 1 we get
[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]
Add eq(1) and eq(2)
[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]
So, after eliminating y we get x=-1
Now finding y by putting x in eq(1)
[tex]y=x-1\\y=-1-1\\y=-2[/tex]
We get y=-2
So, solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT
Answer:
a
Step-by-step explanation:
So I know the answer I just need to know the process. Could someone pls help?
Answer:
FIGURE 1:
x = 118; y = 96
FIGURE 2:
x = 85; y = 65
Step-by-step explanation:
FIGURE 1:
You know that x = 118 because of the Corresponding Angles theorem.
Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.
FIGURE 2:
In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.
Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.
Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.
What is the equation of the line that has a y intercept of 0,3 and passes through the point -9,-9
Answer:
-5.4
Step-by-step explanation:
Write the following algebraically:
I think of a number, take away one and multiply the rest by 3.
Answer:
y = 3(x-1)
Step-by-step explanation:
Here is an example so you know it works.
Regular: I pick 58 I take away 1 = 57*3=171
Algebraically: y = 3(58-1) First do parenthesis
y = 3(57)
y = 171
Hope this helps!!
Which two expressions are equivalent to each other?
Answer:
The answer is 8^11/8^5 and 8^3×8^3
8^11/8^5= 262144
8^3×8^3= 262144
y= -2(x-3)(x-2) to standard form
The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is
Answer: 17 to 15
Step-by-step explanation:
5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)
Answer:
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
La caja tenía 40 bombones.
Step-by-step explanation:
Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:
[tex]\frac{1}{5} +\frac{1}{2}[/tex]
Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.
En este caso, el mcm entre 5 y 2 es 10.
Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:
10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.Entonces:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]
Ahora simplemente sumas los denominadores:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:
[tex]1-\frac{7}{10}[/tex]
Restando de manera similar al procedimiento usado para la suma se obtiene:
[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]
Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?
[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]
cantidad total de bombones=40
La caja tenía 40 bombones.
Tess sang 2 fewer songs today than she did yesterday. Yesterday, Tess
sang 9 songs. Which number sentence can be used to find the number
of songs Tess sang today?
9 + 2 =
9- 2 =
9-9 =
Answer:9-2 is the right one
Step-by-step explanation:
What is the final amount if 1885 is increased by 5% followed by a further 18% increase
9514 1404 393
Answer:
2335.515
Step-by-step explanation:
The first increase multiplies the original amount by 1 + 5% = 1.05.
The second increase multiplies the already increased amount by 1 + 18% = 1.18.
Then the final amount is ...
1885(1.05)(1.18) = 2335.515
f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
In what form is an equation that relates two proportional quantities x and y?
A.
y=k+x, where k is the constant of proportionality
B.
y=kx, where k is the constant of proportionality
C.
y=kx, where k is the constant of proportionality
D.
y=xk, where y is the constant of proportionality
Answer:
Step-by-step explanation: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?
This is in the topic of linear equations and please provide an explanation. (The working out)
Answer:
1990
Step-by-step explanation:
Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.
Hence, the daughter was 24/6 = 4 years old in 1974.
In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.
We need to find "x" from the equation
2(4 + x) = 24+x.
8 + 2x = 24 + x,
x = 24 - 8 = 16.
1974 + 16 = 1990.
Answer In 1990 the mother doubles her daughter's age
Check In 1990 mother's age is/was 24 + 16 = 40 years.
In 1990 the daughter's age is/was 4 + 16 = 20 years.
Solve for L.
P = 2L + 2W
L = 2/(P - W)
L = 2(W - 2P)
L = (P - 2W)/2
Answer:
L = (P - 2W)/2
Step-by-step explanation:
This is the formula for perimeter
P = 2L + 2W
Sustract 2W on both sides:
P-2W= 2L
Divide both sides by 2:
(P-2W)/2 = L
L= (P-2W)/2
10) g(n) = -21+ 3n; Find gl-6)
A) 152
B) -20
C) 1
D) 90
Y+5= -3/4x Select the slope and y-intercept of the linear equation.
Answer:
Slope: -3/4
y-intercept: (0,-5)
Step-by-step explanation:
Hope it helps!
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
If f(x) = x³ - 2, find f(3). 25 24 26 20
Answer:
[tex]A.) 25[/tex]
Step-by-step explanation:
[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:
[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]
Now simplify the equation, starting with exponents (PEMDAS):
[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]
Simplify subtraction:
[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]
:Done
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast
Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere
Answer:
cylinder
Step-by-step explanation:
URGENT MCQ Name the base of the triangle below.
Answer:
base of the triangle is answer c) bcSolve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
b=Ah
Step-by-step explanation:
multiply both sides by h
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)