Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.
A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter
Yes, Can Change No, Can't Change
A tabletop in the shape of a trapezoid has an area of 5,550 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 85 centimeters . What is the height?
Answer:
55.5 cm
Step-by-step explanation:
[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{5550}{115+85} \\\\h=2*\frac{5550}{200} \\\\h=2*\frac{111}{4} \\\\h=55.5[/tex]
What is the value of x?
Enter your answer in the box.
units
Answer:
x = 28
Step-by-step explanation:
ΔARP ≈ ΔCRD
42/x = 57/(10+x)
cross-multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 15x
28 = x
Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
Answer:
A
Step-by-step explanation:
The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
What are equivalent expressions?Equivalent expressions are expressions that have equal values, when compared
The expression is given as:
[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]
Take LCM
[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]
Express the quotient as products
[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]
Evaluate the product
[tex]\frac {2y - 4x}{5x + 3y}[/tex]
Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
If 6 is a factor of a number, then 12 is also a factor of the number.
Which number is a counterexample to the given statement?
Answer:
i think it is 24 sorry if a m swrong.
Step-by-step explanation:
can you guys tell what 7689x567
Answer:
7689 x 567
4,359,663
Step-by-step explanation:
Answer:
4,359,663
Step-by-step explanation:
hope this helps
At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?
Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
Reflect across the x-axis.
A (-1, 6) B (5, 14) C (-1, 14)
Post Image Coordinates:
A’ ________ B’ ________ C’ ________
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°
Answer:
B is the answer
Step-by-step explanation:
Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.
[tex]3x + 6 + 2x - 1 = 90[/tex]
[tex]5x + 5 = 90[/tex]
[tex]5x = 85[/tex]
[tex]x = 17[/tex]
Plug 17 into both to find the smaller angle
[tex]3(17) + 6 = 57[/tex]
[tex]2(17) - 1 = 33[/tex]
[tex]33 < 57[/tex]
So 33 is the answer or B
What is the length of the line segment that has endpoints at (-5,7) and (7,2)
A 13
B 10.9
C 5.4
D 15
Answer:
A
Step-by-step explanation:
sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2
sqrt of (7 - -5)^2 + (2 - 7)^2
sqrt of (12)^2 + (-5)^2
sqrt of (144 + 25)
sqrt of (169)
13
Angle K measures 67º and angle L measures 119°.
Circle O is inscribed by quadrilateral L M N K.
What are the measures of angles M and N?
m Angle M = 61o and m Angle N = 113o
m Angle M = 67o and m Angle N = 119o
m Angle M = 113o and m Angle N = 61o
m Angle M = 119o and m Angle N = 67o
Answer:
C. m Angle M = 113o and m Angle N = 61o
Step-by-step explanation:
It's the only answer that makes all the angles added together equal 360 degrees.
67 + 119 + 113 + 61 = 360
Answer:
C
Step-by-step explanation:
please answer! will give brainliest :)
Your answer is 20,321.5+8707.37 which equals 29028.87 feet. Mount Everest is 29028.87 feet tall.
PLEASE ANSWERS
Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m
Answer:
[tex]4 - |m|[/tex]
Step-by-step explanation:
The two lines on each side of the m, signify that it is absolute value.
The difference of 4 and the absolute value of m, translates to 4 - |m|
PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes
Answer:
6 hours and 25 minutes
Step-by-step explanation:
10:15 to 4:40 = 6 hours and 25 minutes
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
$
Answer:
$35
Step-by-step explanation:
Answer:
he has $35 left
Step-by-step explanation:
Two snails climbed up a tree at a constant rate. A person measured and recorded their respective distances above the ground. • Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes. • Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds. • Determine the amount of time, in minutes, it took for the two snails to be the same distance above the ground. • Include an equation to represent each snail's distance above the ground, y, in terms of x, the minutes elapsed since the measurement started. Show your work or explain your answer.
Answer:
140 minutes
Step-by-step explanation:
Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.
So, m = (y₂ - y₁)/(x₂ - x₁)
m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25
Also, the equation of the line,
(y - y₁)/(x - x₁) = m
(y - 12.5)/(x - 10) = 0.25
cross-multiplying, we have
y - 12.5 = 0.25(x - 10)
expanding the bracket, we have
y - 12.5 = 0.25x - 2.5
adding 12.5 to both sides, we have
y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5
y = 0.25x + 10
Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3
We now find the time x it takes the snails to cover the same distance by equating both expressions. So,
0.25x + 10 = 0.3x + 3
collecting like terms, we have
10 - 3 = 0.3x - 0.25x
7 = 0.05x
0.05x = 7
x = 7/0.05
x = 140 minutes
The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?
Answer:
$1.91 per bottle :)
Step-by-step explanation:
PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15
A: x2+(y+16)2 = 15−−√
B: (x+16)2+y2=15
C: x2+(y+16)2= 15
D: x2+(y−16)2 = 15
Answer:
x^2+(y+16)^2=15
Step-by-step explanation:
(x-0)^2+{y-(-16)}^e=(√15)^2
→x^2+(y+16)^2=15
Answer:
C. x² + (y + 16)² = 15Step-by-step explanation:
Equation of circle:
(x - h) + (y - k) = r², where (h, k) is the center and r is the radiusWe have:
h = 0, k = -16, r = √15Substitute the given into the equation above and get the equation of the given circle:
(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15Correct choice is C
please help me asap.
Answer:
21
Step-by-step explanation:
Yes I am here to help
Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
please answer correctly and help me not being rude
Step-by-step explanation:
[tex]2(14 \times 2) + ((7 - 4) \times (14 - 9)) = \\ = 28 \times 2 + (3 \times 5) = \\ = 56 + 15 = \\ = 71[/tex]
Could you please help me out.
Answer:
B
Step-by-step explanation:
dababy
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=18°, and KL = 6.1 feet. Find the length of JK to the nearest tenth of a foot.
Answer: 19.7
Step-by-step explanation:
Answer:
19.7
Step-by-step explanation:
Paula, the local baker, usually makes 1"5 loaves of bread and 10 cakes per day, but today she made 25 loaves of bread and 12 cakes. What is the percent increase far each bakery item?
Answer:
the percentage increase for bread and cake is 66.67% and 20% respectively
Step-by-step explanation:
The computation of the percentage increase for each bakery item is shown below:
For bread
= (25 - 15) ÷ 15
= 66.67%
For cakes
= (12 - 10) ÷ (10)
= 20%
Hence, the percentage increase for bread and cake is 66.67% and 20% respectively
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!
Answer:
60°
Step-by-step explanation:
A straight line is 180°
<5 is 120°
180°-120°=60°
y=8x+7 i need helpppp
Answer:
i think the answer is d
hpe it helps
Answer:
b
Step-by-step explanation:
The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
5 times
2 times
(pythagoras theorem | year 9)
Answer:
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
or
c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.
I hope this helps a little bit.
Type in the missing terms in this sequence of square numbers.
1, 4, 9,
, 25, 36,
, 64, 81, 100,
, 144
Answer:
16, 49, 121
Step-by-step explanation: