Answer:
The answer is... a=3 b=3 and are parrelell
The line segments A"D" and B"C" are parallel to each other because they are both vertical lines.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Since the pre-image parallelogram has sides with slope -3, we can conclude that the sides AD and BC are parallel to each other.
After the translation, every point of the image is shifted 7 units down, and thus the slope of AD and BC does not change.
The reflection over the y-axis will cause the signs of the x-coordinates to flip. Therefore, the slope of AD and BC will change from -3 to 3.
Since A"D" is a vertical line (its two points have the same x-coordinate), its slope is undefined.
Similarly, B"C" is also a vertical line, so its slope is undefined.
We can also determine that A"D" and B"C" are parallel to each other since they are both vertical lines.
Learn more about parallelograms here:
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Quadrilateral ABCD is a rhombus. Given tha m
Answer:
m<EDA=35°
m<DAE=35 diagonal bisect it
Step-by-step explanation:
m<AED=180-2×35=110°(by sum of interior angle of the triangle)
m<BCE=mDAE=35° alternate angle
What is the answer to this question?
6x - 6 < 12
Answer:
X<3
Step-by-step explanation:
6x−6+6<12+6
6x<18
Step 2: Divide both sides by 6.
6 divded by 6 = 1
18 divided by 6= 3
therefore the answer would be
X<3
Answer:
x = 1 or less
Step-by-step explanation:
12 - 6 = 6
6x = 6 or less
Divide each side by 6:
6x/6 = 6 or less/6
x = 1 or less
Mrs. Gargantua thinks she finally may have found
a medicine which will remove the blackness from
her teeth. But first she has to mix a liquid
containing 4% reactor fuel with a liquid containing
20% reactor fuel to create a 6 ounce liquid
containing 8% reactor fuel. How many ounces of
the 4% liquid must she use? Round your answer to
the nearest one decimal place (tenths).
Answer:
She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.
Step-by-step explanation:
x = amount of 4% fuel
6 - x = amount of 20% fuel
0.04x + 0.2(6 - x) = 0.08(6) Multiply both sides by 100 to remove the decimals
4x + 20(6 - x) = 8(6)
4x + 120 - 20x = 48
-16x + 120 = 48
-16x = -72
x = 4.5
She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.
last week maria ran 16.4 miles more than Kathryn. Maria ran 30 miles. How many did Kathryn run ?
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
Step-by-step explanation:
128 marbles
First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.
To prove just simplify
3/8=48/128
3/8=3/8
Anyone able to help me with this math please?
I dont really understand how to do it so an explanation would be awesome!
Answer:
A) y = -24
Step-by-step explanation:
y = 5x - 4
y = 6x
substitute for y:
5x - 4 = 6x
reduce:
x = -4
y = -24
The data in this question will be utilized for the next three questions. The number of pets a group of students have are given below.Solute deviation?
Question
The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.
Number of pets: 0-2 2-4 4-6 6-8 8-10 10-12 12-14
Number of students: 1 2 1 5 6 2 3
Calculate
(1) Mean (2) Sample Variance (3) Sample Standard Deviation
Answer:
[tex](1)[/tex] [tex]\bar x = 8.1[/tex]
[tex](2)[/tex] [tex]\sigma^2 = 6.341[/tex]
[tex](3)[/tex] [tex]\sigma = 2.518[/tex]
Step-by-step explanation:
Given
The above data
First, we calculate the class midpoint (x)
Pets: [tex]0-2[/tex] [tex]2-4[/tex] [tex]4-6[/tex] [tex]6-8[/tex] [tex]8-10[/tex] [tex]10-12[/tex] [tex]12-14[/tex]
x 1 3 5 7 9 11 13
f: 1 2 1 5 6 2 3
The class midpoint (x) is calculated by the average of each group.
For pets: 0 - 2.
[tex]x = \frac{0 + 2}{2}= \frac{2}{2} = 1[/tex]
The same is done for other groups.
Solving (a): Mean
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
This gives:
[tex]\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}[/tex]
[tex]\bar x = \frac{162}{20}[/tex]
[tex]\bar x = 8.1[/tex]
Solving (b): Sample Variance
This is calculated as:
[tex]\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}[/tex]
So:
[tex]\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}[/tex]
[tex]\sigma^2 = \frac{120.47}{19}[/tex]
[tex]\sigma^2 = 6.341[/tex]
Solving (c): The sample standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\sigma^2[/tex]
[tex]\sigma = \sqrt{6.341[/tex]
[tex]\sigma = 2.518[/tex]
a) Expand and simplify (x + 4)(x-7)
Answer:
Expanded:x²-7x+4x-28
Simplified: x²-3x-28
Step-by-step explanation:
Noemi is buying a 2 cup container of hand sanitizer. How many ounces is she buying?
Answer:
16 ounces
8x2=16 ounces
Step-by-step explanation:
Find sin A, cos A, and tan A as
a fraction in simplest form.
Answer:
sin A = [tex]\frac{15}{17}[/tex]
cos A = [tex]\frac{8}{17}[/tex]
tan A = [tex]1\frac{7}{8}[/tex]
Step-by-step explanation:
sine = [tex]\frac{ooposite}{hypothenuse}[/tex]
sine A = [tex]\frac{15}{17}[/tex]
cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
cos A = [tex]\frac{8}{17}[/tex]
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan A = [tex]\frac{15}{8} = 1\frac{7}{8}[/tex]
3y + 9 + 7y = 49
show your work
Answer:
4
Step-by-step explanation:
3y + 9 + 7y = 49
10y + 9 = 49
10y = 49 - 9
y = 40/10 = 4
I hope im right!!
(btw: which grade q is this? )
Before Answer:
I know what the answer would be but what does Y=??? I need to know so i can solve this easy question.
After Answer:
4
Step-by-step explanation:
3y + 9 + 7y = 49
10y + 9 = 49
10y = 49 - 9
y = 40/10 = 4
What i have to say:
If u know what Y is i can change this answer or i can say... 3 times whatever Y is so 3 times Y + 9 + 7 times Y = 49 Oh... i'm so sry do u have to find out what why is cuz i can do dat too. :) Thanks so much have a splendid life! :) This might help just read it all! Ask 4 me to help with more! Byes. Ok i'm gonna change this ok done!
Grade: 8th Grade
To other person to answered this Question: Great Job! i gave you 5 stars and a heart!
Answer: 4 :) Plz give brainliest :( i have none but i hope i helped!!! :) :(
An international company has 12,700 employees in one country. If this represents 23.6% of the company's employees, how many employees does it have in total?
Answer: 33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 33.6%
HOPE THIS HELPS HAVE A AWESOME NIGHT/DAY✨
Step-by-step explanation:
Answer:
2997.2
Step-by-step explanation:
The population of Renton, WA, is about 101920
people.
Ten years ago, the population was about 91000
people.
By what percent did the population increase
between ten years ago and now?
Answer:
Step-by-step explanation:
%change=100(final-initial)/(initial)
%change=100(101920-91000)/(91000)
%change=12%
I'd be happy if you could help!
Step-by-step explanation:
Circumference=22π
2πr=22π
r=11 in.
Area=121π in.²
Hope it helps you
A group of 300 students were divided into small groups based on their year of birth.
• One-fourth of the students were born in the year 2000
• The number of students who were born in 1999 is twice the number of students who were born in
2000.
• The number of students who were born in 2001 is one-third of the number of students who were
born in 1999.
• The number of students who were born in 1998 is half of the number of students who were born in
2001.
Answer:
Students born in 2000= 300*(1/4)=75 students
Students born in 1999= 75*2=150 students
Students born in 2001=150*(1/3) =50 students
Students born in 1998=50*(1/2) =25 students
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the first to win both prizes
Answer:
120th caller
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
$100 bill = 30th caller
Movie tickets = 40th caller
So, to find out first to win both prizes, we will use LCM method,
LCM of 30 and 40 = 10 | 30 , 40
| 3 , 4
LCM of 30 and 40 = 10 × 3 × 4 = 120
Hence, 120th caller will be the first to win both prizes.
Can someone please help it’s a quick question
Answer:
x = -12
Step-by-step explanation:
3/4x + 12 = 3
3/4x = -9
3x = -36
x = -12
what's the distance between (6, 4) and (2, 1)
Answer:
5
Step-by-step explanation:
You will need the distance formula. [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\[/tex]
([tex]x_{1}[/tex], [tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex])
Now plug in the two points into the distance formula.
d= [tex]\sqrt{(2-6)^{2}+(1-4)^{2} }[/tex]
d= 5
[ the domain of g(x) = 4x - 12 is {2, 3, 6, 8}. what is the range? ]
please help me i dont have much time im begging u its 50 POINTS!!!!!
Answer:
range: {-4,0,12,20}
Step-by-step explanation:
these values are the y-values for the specific four domain values given
Dan bought 20 bunches of seedless green grapes for $48.00 . How many bunches can buy if she has $12.00?
Answer:
Step-by-step explanation:
$12(20b/$48)=5b
Please help!! Thanks!
Answer:
5)B 6)A 7)C are the answers I believe.
Ralph is leasing a $38,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph’s approximate monthly lease payment.
A. $445.00 B. $530.40 C. $648.89 D. $526.93
Answer:
hey, the answer is D 443.73
Step-by-step explanation:
ILL MARK U BRAINLIEST!
Answer: D
Step-by-step explanation: ( C = 2πr )
Answer:
option d 100 m..
hope it's helpful
Help me with this please
Answer: (3,8)
5 + 2 (-1) = 3
10 + 2 (-1) = 8
Find the measure of the side indicated. Round to the nearest tenth.
Answer:
6.1
Step-by-step explanation:
Use sine. Remember sine is opposite leg over hypotenuse.
Sin 29.5=3/x --> Switch the x and sin 29.5
x=3/Sin 29.5
x=6.1
3(2 − 14)+ = 15 -(−9 −5)
Answer:
x = -31 brainliest please
Step-by-step explanation:
Answer:
its -31
Step-by-step explanation:
A car is on sale for R 95 850.If a deposit of 9 580 is paid ,how much is still owed on the car ?
Answer:
Step-by-step explanation:
95 850-9 580=86270
R 86 270 is still owed for the car
Hope it helps!
:D
Can someone help me please it would literally mean the world to me
Answer:
4 days
Step-by-step explanation:
8 cakes = 1 day
32 cakes ÷ 8 cakes = 4 days
Answer:
X ≥ 4
Step-by-step explanation:
It will take her a minimum of 4 days to bake 32 cakes. The sign would be greater than or equal to because it could take her longer if she spaced out the orders more, but she can’t finish them in less than 4 days. (Btw X is the number of days it will take to complete her order).
Hope this helps!
Evaluate 9.1v +8.9w when v= 7 and w= 8.
Answer:
134.9
Step-by-step explanation:
Plug v and w into the expression.
v=7
w=8
9.1(7)+8.9(8)
Then simplify
63.7+71.2=134.9
Find the slope and the y-intercept of the line.
y = 5x-2
slope:
Ú
Undefined
Х
y-intercept: