Answer:
B. A dilation with a scale factor of 0.5
Step-by-step explanation:
A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.
B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent
C. is wrong because translations keep the angles and side lengths of the figure the same.
D. is wrong because a scale factor of 1 changes nothing about the figure.
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
for brainiest:):):):):):):):)
Answer:
A. No
B. No
C. Yes
Step-by-step explanation:
A and B are either below or above 180 degrees when all angles degrees are added together
C is exactly 180 degrees when all angles degrees are added together
Answer:
A. No
B. No
C. Yes
Step-by-step explanation:
A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.
100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)
40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).
B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to 180°.
20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)
20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)
C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.
50 + 60 + 70 = 180°.
60 + 70 = 130 (130 IS GREATER THAN 50).
70 + 50 = 120 (120 IS GREATER THAN 60).
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
HELP I WILL GIVE BRAINIEST
Answer:
sorry I can only answer no.3
[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
Find the first four terms of the sequence, an = 4 − 2n
Answer:
2, 0, -2, -4
Step-by-step explanation:
an = 4 − 2n
a1 = 4 - 2(1) = 2
a2 = 4 - 2(2) = 0
a3 = 4 - 2(3) = -2
a4 = 4 - 2(4) = -4
Answer:
(2, 0, -2, -4)
Step-by-step explanation:
a(1) = 4 - 2(1)
= 4 - 2
= 2
a(2) = 4 - 2(2)
= 4 - 4
= 0
a(3) = 4 - 2(3)
= 4 - 6
= -2
a(4) = 4 - 4(4)
= 4 - 8
= -4
What is the volume of the solid figure?
Solid is made up of 2 cuboids. First cuboid has length as 15 in., height as 5 in. and width as 5 in. Second cuboid has length as 5 in., height as 10 in. and width as 5 in. HELP ASAP I HAVE 1- MINUTES LEFT!!!
Answer:
The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid
The volume of the solid figure = 15×5×5 + 5×5×10
Or, The volume of the solid figure = 375 + 250
Or, The volume of the solid figure = 625 inch³
Therefore, the volume of the solid figure = 625 inch³
Step-by-step explanation:
If this help pls subscribe to amiredagoat Yt
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50m
square units. Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.
Answer:
The volume of the sqaure prism is eqaul to the volume of the cylinder.
Answer: B
Step-by-step explanation:
ten friends scored the following marks in their end of year maths exam: 23 37 45 49 63 63 70 72 82. What was the mean deviation of their marks
Answer:
50.4
Step-by-step explanation:
mean is just another way for syaing average
all the numbers added = 504
dived it by the number of scores
504 divided by 10 = 50.4
if y° and 75° are the opposite angles of rhombus, then y°=.....
Answer:
if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Based on your work with similarity transformations in question 1, which images are similar to the preimage ABCDE? Which Images are not similar?
Answer:
Images FGHIJ, KLMNP, and VWXYZ are similar to preimage ABCDE. Image QRSTU is not similar.
Step-by-step explanation:
PLATO answer
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
Is water wet?? Explain
Answer:
WATER IS not wet
Step-by-step explanation:
Water is NOT wet by itself, however it makes other materials wet when it sticks to the surface of them.
Answer:
Water isn't wet by itself, but it makes other materials wet when it sticks to the surface of them. Wetness is the ability of a liquid to adhere to the surface of a solid, so when we say that something is wet, we mean that the liquid is sticking to the surface of a material.
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3900 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $3900 did ticket sales fall?
yeah
Answer:
$137.00
Step-by-step explanation:
add all the money then add the 600 to the money u get.
What is the length of the unknown
leg of the right triangle?
Answer:
2ft
Step-by-step explanation:
Determine if the work below is correct.
NO FILES OR LINKS OR PHOTOS PLEASE
Answer:
Correct
Step-by-step explanation:
To find the volume of a rectangular prism, the formula is [tex]lwh[/tex].
5 · 9 · 3.2 = 144
So, the answer and work are all correct.
Good luck :)
Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
Answer:
the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2
Step-by-step explanation:
Answer:
Ok so -1.6 goes in between -2 and -1. Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2.
Step-by-step explanation:
hope this helps you :)
Could someone answer this please?
Answer:
I think its false
Step-by-step explanation:
I've tried every strategy there is no way there could be a function
Answer:
I think its false
Step-by-step explanation:
cuz it's not a function
(X-2/3)^2+y^2 =36
What is its center?
What is its radius
Answer:
0(2/3; 0)
Step-by-step explanation:
Select all the expressions that are equivalent to x2+4x. (^2 means raising something to the 2nd power.)
Answer:
(x+4)x
Step-by-step explanation:
The factor of the expression into an equivalent form x² + 4x would be; x(x + 4)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression into an equivalent form x² + 4x
This expression could also be given by;
x² + 4x
Then factor out x we get;
x² + 4x = x(x + 4)
Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)
Learn more about expression here;
brainly.com/question/14083225
#SPJ2
pls help me wiht this questin picture below
Answer:
The answer is 80 units.......
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Volume of cuboid = l × b × h
ㅤㅤㅤㅤㅤㅤㅤㅤ= 8 × 2 × 5
ㅤㅤㅤㅤㅤㅤㅤㅤ= 40 units.
ThanksHope it helpsPlease answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
4:1
Step-by-step explanation:
unsimplified version : 12 to 3
12 and 3 both have a common common factor ( which would be 3 )
This means that we can divide the current ratio to get a simpler ratio
12/3=4
3/3=1
The new simplified ratio would be 4:1
Factor the following: 25x^2 + 30x = 0
Answer:
= 0
= − 6 /5
Step-by-step explanation:
You can use the quadratic formula or just factor it.
Find the Common factor
rewrite in factored form
Create separate equations
then solve
Answer
5x(5x+6)=0
Step-by-step explanation:
Factor 5x out of 25x^2+30x
A student studied for 1 hour and earned a 50% on her test. If she had studied for 2
hours, she would have scored a 100% on her test. Help asap please
You have to double 1 and 50 to get 2 and 100
1:50 = 2:100
1x2=2
50x2=100
So the statement, if she studied for 2 hours, she would have gotten 100%, makes sense
Hope this helps!
What is the area of a regular hexagon with perimeter of 90 ft?
Answer:
A=584.57
Step-by-step explanation:
Help!!! Please!!! Very much appreciated
Answer:
-0.2
Step-by-step explanation:
Gradient/slope = [tex]\frac{7-5}{15-25} = \frac{2}{-10} = -0.2[/tex]
D
Y2 - Y1 / X2 - X1
7-5 =2 / 15-25 =-10
2/-10 =-0.2
You would like to lease a car worth $52,696 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $39,826. What percentage represents the residual value of your leased car?
Answer: 75.58%
Step-by-step explanation:
Since we are given the information that the worth of the car will be leased for $52696 and the residual value will be $39826, the percentage that represents the residual value of the leased car will be:
= (39826 / 52696) × 100
= 0.7558 × 100
= 75.58%