Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB ll DC, Which of the following statements is true concerning trapezoid RSTU?
Answers
The true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
Based on the given information that Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU, we can determine the relationships between the corresponding sides and angles of the two trapezoids.
Given:
AB || DC
Based on the parallel lines, we can infer the following relationships:
Corresponding sides are parallel:
RS || UT (corresponds to AB || DC)
ST || RU (corresponds to BC || DA)
Corresponding angles are congruent:
∠R ≅ ∠A
∠S ≅ ∠B
∠T ≅ ∠C
∠U ≅ ∠D
From these relationships, we can determine the following statements that are true concerning trapezoid RSTU:
STUT (corresponds to ABCD): The bases of the trapezoids are parallel, so the order of the vertices remains the same.
CABRS (corresponds to DCBA): The corresponding angles in trapezoid RSTU and trapezoid ABCD are congruent.
DRS UT (corresponds to ABDC): The order of the vertices is reversed, but the parallel sides and corresponding angles remain the same.
Therefore, the true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
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Related Questions
use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3))
Answers
Answer:
g(f(3)) = 0
Step-by-step explanation:
f(x) = 2x - 9
f(3) = 2(3) - 9
f(3) = -3
g(-3) = 9 - (-3)^2
g(-3) = 9 - 9
g(-3) = 0
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answers
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.
Answers
Answer:
x = 30
Step-by-step explanation:
These angles form supplementary angles meaning they add up to 180°.
[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]
Of the total students at Martin Middle School, 224 students are picked up by their parent at dismissal. If this is 28% of the total number of students, how many students are at Martin Middle School altogether ?
Answers
Answer:
800
Step-by-step explanation:
28/100 =224/x
28x/28 = 22400/28
5.08, 1.99, 4.54, 4.83, 3.2, 1.99, 4.36, 4.8, 4.78
What is the median?
Answers
Answer:
4.45
Step-by-step explanation:
it is ordered from highest to lowest1,99 1,99 3.2 4,36 4,54 4,78 4,8 4,83
(2 numbers remain as medium)
is added and divided by 24,36
4,54
8,90/2= 4.45
i hope i have help you :)
Function 2
+ 4x + 1
Function _
has the larger maximum.
(Put 1 or 2 in the blank space)
Answers
Answer:
Function 2 has larger max value.
Step-by-step explanation:
We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.
But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.
[tex] \large{f(x) = - {x}^{2} + 4x + 1}[/tex]
It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.
[tex] \large \boxed{y = \frac{4ac - {b}^{2} }{4a} }[/tex]
As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c
Substitute our a, b and c in the formula.
[tex] \large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}[/tex]
Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.
4x²=9/16 Solve the equation and show your work.
Answers
4*x^2-(9/16) = 0
4*x^2-9/16 = 0
4*x^2 = 9/16 // : 4
x^2 = 9/64
x^2 = 9/64 // ^ 1/2
abs(x) = 3/8
x = 3/8 or x = -3/8
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Answers
Answer:
I think 129 miles.... ..........
Answer:
129 miles
Step-by-step explanation:
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Answers
Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need to drive each day
Answers
750/5=150
150(miles) x 5 (days) = 750(total miles)
Charles road his bike due west 17 miles, then turned due south and rode another 13 miles. About how far was he from his starting point?
a
17.5 mi
b
21.4 mi
c
13.6 mi
d
10.9 mi
Answers
Answer:
21.4 miles (Answer A)
Step-by-step explanation:
17 miles west and then 13 miles south can be represented by a triangle whose leg lengths are 17 miles and 13 miles respectively. We use the Pythagorean Theorem to find the length of the hypotenuse of this triangle; the hypotenuse length is the straight line distance between starting and end points:
d = √(13² + 17²) miles, or d = 21.4 miles
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Answers
explanation:
6(1)-39=-33
6(2)-39=-27
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answers
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task
Answers
Answer:
12.56 ft²Step-by-step explanation:
The area of the tabletop:
A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²Answer: my friend up there did it right
Step-by-step explanation:
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answers
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
Ill Give Brainlest if u can answer both!!!!
Answers
Answer:
Question 5 is D.
Question 6 is C.
Step-by-step explanation:
Answer:
Question 5: 96 ÷ g
Question 6 : 76
Step-by-step explanation:
Quadrilaterals DONT and WALK are similar. Find the length of side DO.
(15 Points)
Send ASAP PLSS
Answers
X/3=15/5
45/5
x=9
So answer B
The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.
Answers
Answer:
78$
Step-by-step explanation:
3 adults, 2 dollars per adult. Multiply. 3(2) = 6
9 children, 8 dollars per child. Multiply. 9(8) = 72
Add to get total sum of money they needed to pay. 72+6 = 78
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Answers
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) No, not enough corresponding info given
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) Sorry I don't know
Please mark me as the brainliest
What is the slope of a line that passes through (2, -5) and (6, -2)? Question 3 options: -4/3 -3/4 3/4 4/3
Answers
Answer:
C 3/4
Step-by-step explanation:
(2,-5) and (6,-2)
To find the slope, you subtract the 2 y-coords and the 2 x-coords.
-2-(-5)=3
6-2=4
So the slope is 3/4 or C.
---
hope it helps
Answer:
3/4
Step-by-step explanation:
(2, -5) and (6, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+5)/(6-2)
m=(3)/4
m= 3/4
The radius of a circle is 2 m. Find the circumference to the nearest tenth.
Answers
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
12.6
Step-by-step explanation:
circumference=2πr
=2 x 3.142 x 2
= 12.6 to the nearest tenth
A pole with a height of 50 feet casts a shadow 50 feet long. Find the angle of elevation of the sun at this point in time.
(please explain the best you can )
Answers
Answer:
0 = 30.96
Step-by-step explanation:
because math
f(n) = 2n− 5; Find f(−8)
Answers
Answer:
Step-by-step explanation:
Putting value of n = - 8 in the equation
F(n) = 2n− 5
F(-8) = 2(-8) - 5
= - 16 - 5 = - 21
4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answers
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answers
Answer:
Step-by-step explanation:
Option C is the correct answer
Lemon Yellow paint can be made by
mixing 5 gallons of yellow paint and
2 gallons of white paint. How many
gallons of yellow paint should be
mixed with 9 gallons of white paint
to make Lemon Yellow?
Answers
Classify the pair of angles shown.
Answers
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which means they are complementary angles
Solve equation
4x-1=0
Answers
Answer:
x=1/4
Step-by-step explanation:
Answer:
4x-1=0
+1 +1
4x=1
/4 /4
x= 0.25 or 1/4
Step-by-step explanation:
i hope this helps :)
Pls help me with this one
Answers
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent
the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos
earned in May and June? Select all correct answers.
Answers
Answer: 11z + 11y
Step-by-step explanation:
Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:
= Carlos payment per hour * Number of hours worked in a month
In May he worked z hours:
He earns $11 per hour and works z hours, expression for earnings for the month is:
= 11 * z
= 11z
In June he worked y hours:
= 11 * y
= 11y
The total he earned in both May and June is:
= 11z + 11y
The expressions represent the amount of money, in dollars, Carlos earned in May and June is 11z + 11y.
Given that,
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent the number of hours he worked in June.Based on the above information, the calculation is as follows:
For May it is 11z
For June it is 11y
So, total it should be
11z + 11y
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