Question:
On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).
Given that
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex]
Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Answer:
(1) perpendicular
(2) congruent
Step-by-step explanation:
Required
Fill in the gaps
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex] implies that:
[tex]AB : DE= BC : EF[/tex]
In other words:
AB ~ DE ---- Side (S)
and
BC ~ EF ---- Side (S)
Now to fill in the gap with:
(1) perpendicular
(2) congruent
Further explanation
(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular
(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.
Answer:
Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are
✔ perpendicular
.
So, angles
✔ B and E
are right angles by definition of perpendicular lines.
All right angles are
✔ congruent
.
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Step-by-step explanation:
plz help giving brainlest plz due in 10 min will give extra points if u help
Answer:
1.209in²
2.125mi²
3.c=4mm
hope I helped you
Please help I’m failing all of classes please please please
Answer:
x=39 y=51
Step-by-step explanation:
Step-by-step explanation:
2x = 78 ( they're vertical angles)
divide both sides by 2
x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!
Simplify the left side of the equation.
(x + 10) + (4y - x - 10) = 180°
4y = 180°
y= 45°
Combine like terms.
Divide both sides by 4.
Therefore, x = 14 and y = 45.
Now find the measure of each angle. First, find the measure of ZBMQ. To do so, substitute the
value of x into the expression (x + 10)° and simplify.
(x + 10) = (14+ 10) Substitute.
Add.
Help
Answer:
24
Step-by-step explanation:
14 + 10 = 24.
The Question has given hints.
Write the equation for the following quadratic relation in standard form:
a= -2 and with a vertex at (-3,4)
Answer:
3x-x+2=4
Step-by-step explanation:
Please complete the table.
Answer:
10-35-45 and 5-17.5-22.5
Step-by-step explanation:
In a right triangle, one of the non-right angles is 73 degrees. What is the measure of the other non-right angle?
An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.
(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.
9514 1404 393
Answer:
(i) 5/12
(ii) 720
(iii) 420
Step-by-step explanation:
(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.
The person who lost received 5/12 of the total votes.
__
(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...
120 votes = 1/6(total votes)
total votes = 6×120 votes = 720 votes
There were 720 registered voters.
__
(iii) The winner received ...
(7/12)(720 votes) = 420 votes . . . received by the winner
Which choice is the solution for the inequality shown below? -5x + 10 > 5
A. x > 1
B. x < 1
C. x > -3
D. x < -3
(Also all the > and < signs had lines under them)
Answer:
d
Step-by-step explanation:
If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?
Answer:
[tex]56\ \text{km/h}[/tex]
Step-by-step explanation:
[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]
[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]
Average speed is given by
[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]
[tex]\Rightarrow s=\dfrac{336}{6}[/tex]
[tex]\Rightarrow s=56\ \text{km/h}[/tex]
The average speed of the driver is [tex]56\ \text{km/h}[/tex].
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
please help, find the area
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
Pls Help asap thx alot
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
y=3/4x+2 linear or non linear
Answer:
linear
Step-by-step explanation:
draw the graph of y=3-1/2x
A ray has ................ end point/points.
A. 1
B. 2
C. 3
D. no
Answer:
one
Step-by-step explanation:
Answer:
is is letter a since a ray has only 1 end point
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNING5
A rectangular box of rice is shown below.
How many cubic inches of rice can fit inside?
5 in.
6 in
7 in.
cubic inches
Answer:
210in^3
Step-by-step explanation:
Given data
Dimension
Length= 5in
Width= 6in
Height= 7in
The expression for the volume of a rectangle is given as
Volume= L*W*H
Substitute
Volume= 5*6*7
Volume= 210in^3
What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.
Find the equation of the line through point (4,−1) and perpendicular to y=x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Help, please :) Giving 16 points and PLEASE BE CORRECT! This is a test so I don't want to get it wrong. Thank you so much!
Answer:
y=x+4
Step-by-step explanation:
...
A bag with 6 marbles has 2 blue marbles, 1 yellow marble, and 3 red marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Please help im struggling so much and nobody ever actually helps litterally im so stressed with online school and i need help really bad so please make my dat why helping me IM SO STRESSED :(
Answer:
4/12
Step-by-step explanation:
hope this helps and have a great day
can u mark me as brainliest plz and thx
The average number of people who attended football games at a stadium increased from 8000 people in the year 2005 to 12500 people in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
Answer: 43.75%
Step-by-step explanation:
The percentage change is given by:
= [Final value - initial value / Initial value] x 100
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The average number of people in 2005 = 8000.
The average number of people in 2012 = 12500.
The change in the average number of people from 2005 to 2012.
= 12500 - 8000
= 4500
The percentage change in the average number of people at the games from 2005 to 2012.
= [Change in the average number of people / Average number of people in 2005] x 100
= (4500 / 8000) x 100
= 450/8
= 56.25%
Thus,
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
Tell whether the triangle is a right triangle. Show Work.
Answer:
This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm
Step-by-step explanation:
To confirm if a triangle is a right triangle, we must use the Pythagorean thm
a^2 + b^2 = c^2
23^2 + 11.4^2 = 21.2^2
529 + 129.96 = 449.44
658.96 ≠ 449.44
(x+4),(x+12),(x-1) and (x+5) are in proportion .find the value of x
Answer:
x = 16
Step-by-step explanation:
(x +4) : (x +12) :: (x-1)(x +5)
As they are in proportion,
Product of means = Product of extremes
(x + 4)* (x +5) = (x + 12)(x - 1) {Use FOIL method}
x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)
x² + 5x + 4x + 20 = x² - x +12x - 12 {Now combine like terms}
x² + 9x + 20 = x² + 11x -12
x² + 9x +20 - x² - 11x = -12
x² - x² + 9x - 11x = -12 - 20
0 - 2x = - 32
-2x = -32 {Divide both sides by -2}
x = -32/-2
x = 16
what's
[tex]12 + 24 \div 6[/tex]
What is radiant energy from the sun called
Answer:
Ultraviolent radient energy
a recipe for barbecue sauce calls for 1/2 cup of brown sugar for every 2/3 of ketchup How many cups of brown sugar is required for every 1 cup of ketchup?
Answer:
3/4
Step-by-step explanation:
1/2 : 2/3
X : 3/3
3/4 : 3/3
Answer: 3/4
Step-by-step explanation:
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))