find the value of x and y in the following figure where ABCD is a parallelogram
Answers
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
Related Questions
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
d) A = π([tex]9^{2}[/tex])
Step-by-step explanation:
area = π [tex]r^{2}[/tex]
diameter = 18
radius (half of diameter) = 9
area = π [tex]9^{2}[/tex]
8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.
Answers
Answer: 2/3
Step-by-step explanation:
12 lightbulbs and 4 are broken
12-4=8
8/12
/2
4/6
/2
2/3
Find the amplitude and the period of the graphed function; please show work or steps.
Answers
Answers:
Amplitude = 2Period = 5pi/2===========================================
Explanation:
The lowest point occurs when y = -2. The highest point occurs when y = 2.
The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.
The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.
-----------------------------
Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.
The horizontal distance from x = -pi to x = 3pi/2 is
(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2
This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.
Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.
A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim?A. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly is the same.
B. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly may be the same.
C. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of women than men who watch television regularly.
D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
E. The researcher cannot draw a conclusion about a claim without performing a significance test.
Answers
Answer:
The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
Step-by-step explanation:
We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).
Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.
Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
Learn more about Statistics here:
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In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.
Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :
Answers
Answer:
b=15 g=25
Step-by-step explanation:
lets translate that story problem to mathematics equations
the problem told that no. of girls are 10 more than no of boys so this will =
g=b+10
then in class there are 40 students that means
g+b=40
now we have to equations with two variables then we should substitute
(b+10)+b=40
lets remove the brackets
2b+10=40 subtract 10 from both sides
2b=30 now divide both by 2
b=15 so g=25 after you write the equation once again with the new proof or number
Surface area of the rectangular prism is 52 square inches. What is the volume
Answers
2/3 of a number is 8 what is the number?
Answers
Answer:
12
Step-by-step explanation:
8/ (2/3) = 12
The value of number is,
⇒ x = 12
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
2/3 of a number is 8
Let us assume that,
A number is, x
Hence, We can formulate;
⇒2/3 of x = 8
⇒ 2/3 × x = 8
⇒ 2x = 3 × 8
⇒ 2x = 24
⇒ x = 12
Thus, The value of number is,
⇒ x = 12
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2(3x - 32y) + 3(-2x - 4y)
Answers
Kyra is framing a square painting with side lengths of (x + 6) inches.
The total area of the painting and the frame has a side length of (2x −
5)
inches.
The material for the frame will cost $0.07
per square inch.
Answers
Complete Question:
Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.
Find the cost of the material for the frame is x = 16.
Answer:
The material cost of the frame is: $17.15
Step-by-step explanation:
Given
[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting
[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting
[tex]Cost = \$0.07[/tex] per square inch
Required
The cost of material of the frame
First, we calculate the area of the frame only
This is the difference between the areas of the frame and painting and the area of the painting
[tex]Area = (L_2)^2 - (L_1)^2[/tex]
[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]
Substitute 16 for x
[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]
[tex]Area = (27)^2 - (22)^2[/tex]
[tex]Area = 245\ in^2[/tex]
The cost of the painting is:
[tex]Total\ Cost = Unit\ Cost * Area[/tex]
[tex]Total\ Cost = \$0.07 * 245[/tex]
[tex]Total\ Cost = \$17.15[/tex]
Hence, the material cost of the frame is: $17.15
E
Question 1/10
NEXT
1
Write an equation in slope intercept form for the following graph.
--
1
Answers
Answer: (-4 ,4)
Step-by-step explanation:
quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
Answers
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
Find the missing side round your answer to the nearest tenth
Answers
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21
Plug in calculator
(21)cos(19)=19.85
Round to the nearest tenth. Which means the 8 rounds up to 9.
Answer: 19.9
How do you Solve 20/3=10/9x
Answers
Answer:
200
Step-by-step explanation:
100✓9283+374+_+38_+_+_("#9#9_+
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hurry I really need it I have a timer
Answers
Answer:
228 m^2
Step-by-step explanation:
I rly hope im not to late
base is 6x6=36
each side is 8x6=48
48x4=192
192+36=228
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answers
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
I WILL GIVE BRAINLIEST :)
The two lines graphed on the coordinate grid each represent an equation
Which ordered pair represents a solution to both equations?
(1,5)
(-5,1)
(5,1)
(-1,5)
Answers
Answer:
I think it would be (1,5)
Can someone help mee
Answers
Dan x. In 3 yrs x+3
x+10+x+3=83
2x+13=83
2x=83-13
2x=70
x=70/2
x=35
Cary is 42
Dan is 35
What is 21/1 divided by 1/4
Answers
Answer:
84
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions
21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1
This can be written as 84
FIND THE AREA FOR BOTH SHAPES (LEAVE EXPLANATION)
Answers
Answer:
b - 100 cm²
c - 45.5 cm²
Step-by-step explanation:
Hello There!
For b - The following figure shown is a trapezoid with the dimensions
height = 10cm
longer base = 12cm
shorter base = 8cm
We can calculate the area of a trapezoid using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{8+12}{2} 10\\8+12=20\\\frac{20}{2} =10\\10*10=100[/tex]
so we can conclude that the area of figure b is 100 cm²
for a
The figure shown is an irregular shape so to calculate the area we're going to want to divide the irregular shape into two regular shapes
a rectangle with the dimensions:
width = 7 cm
length = 8cm (total height of irregular figure) - 3cm (height of the triangle)
8cm-3cm=5cm so the length of the rectangle is 5cm
a triangle with the dimensions:
base (length) = 7cm
height = 3cm
Now lets find the area of each shape
for the rectangle:
the area of a rectangle can simply be found by multiplying the length and width
7 * 5 = 35 so the area of the rectangle is 35 cm²
for the triangle:
the area of a triangle can be found using this formula
[tex]A=\frac{1}{2} bh[/tex] where b = base and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{1}{2} 3*7\\3*7=21\\\frac{21}{2} =10.5[/tex]
so we can conclude that the area of the triangle is 10.5 cm²
finally we add the two areas of the regular shapes
10.5 + 35 = 45.5 cm²
In conclusion the area of the figure is 45.5 cm²
Please hurry it’s homework
Answers
The slope is found from y2-y1/x2-x1
give simplest ratio for 68:34
Answers
Answer:
Thus, 2/1 is the simplified fraction for 68/34 by using the prime factorization method.
Please help me it’s due today at 11:59
Answers
A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for
Answers
Answer:
A ≈ 34.1 in²
Step-by-step explanation:
Using the formulas of area & circumference:
A = πr2
C = 2πr
Solving for A:
A = C2
4·π = 20.72
4·π = 34.09815 in²
4·π ≈ 34.1 in²
20.7=2*3.14*r
20.7=6.28r
20.7/6.28=6.28r/6.28
r=3.3
A=pir^2
A=3.14*3.3^2
A=34.1 in^2
If the total cost of a $32 item is $33.60, what is the total cost on a $55 item?
Answers
Answer:
55.00
Step-by-step explanation:
A study was conducted to examine the quality of fish after seven days in ice storage. For this study Y = measurement of fish quality (on a 10-point scale with 10 = BEST.)
X = # of hours after being caught that the fish were packed in ice. The sample linear regression line is: Y = 8.5 - .5X. From this we can say that:
a. a one-hour delay in packing the fish in ice increases the estimated quality by 0.5.
b. Can't really say until we see a plot of the data.
c. a one-hour delay in packing the fish in ice decreases the estimated quality by 0.5.
d. if the estimated quality increases by 1, then the fish have been packed in ice two hours later.
e. if the estimated quality increases by 1, then the fish have been packed in ice one hour sooner.
Answers
Answer:
From this we can say that;
c. A one-hour delay in packaging the fish in ice decreases the estimated quality by 0.5
Step-by-step explanation:
The sample linear regression line representing the study of the relationship between the quality of fish, 'Y', and the number of hours that elapse after being caught that the fish were packed in ice, 'X', is presented as follows;
Y = 8.5 - 0.5·x
The estimated quality of a fish after a 1 hour delay in packaging in ice, is given as follows;
When X = 1
Y = 8.5 - 0.5 × 1 = 8.0
Therefore, the quality of a fish decreases from 8.5 to 8.0 which is equivalent to a 0.5 decrease in the quality of the fish, after a 1 hour delay in packaging in ice after being caught.
3x3 grid using 24cm wire. How much wire for 20x20 grid?
Answers
Answer:
840cm
Let Me Know If This Is Correct I Always Want To Improve!
Thanks :)
In 2010, a medical research group reported the results of an experiment to evaluate the effectiveness of acupuncture to treat a chronic intestinal condition. A group of volunteers with the chronic intestinal condition agreed to participate in the experiment and be randomly assigned to either a true acupuncture treatment or a placebo treatment. The placebo treatment mimicked the application of acupuncture, but no needle penetrated the skin. Random assignment resulted in 78 subjects receiving acupuncture and 75 subjects receiving the placebo treatment. After receiving 6 treatments over the course of 3 weeks, patients were asked to report whether they had experienced a reduction in the chronic intestinal condition. The table summarizes the data from the study, with expected cell counts in parentheses. Yes No Total Acupuncture 41(37.2) 37(40.8) 78 Placebo treatment 32(35.8) 43(39.2) 75 Total 73 80 153 Which of the following is true about the chi-square test for homogeneity? A. The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. B. Volunteers do not constitute a random sample from the population of all patients with the chronic intestinal condition; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. C. Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met. D. Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test of homogeneity. E. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.
Answers
Answer: C
Step-by-step explanation:
since this was an experiment, treatments had to be randomly assigned, which satisfies the independence condition.
Answer:
ANSWER C: Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met.
Step-by-step explanation:
just took the test
11. The length of a rectangle is double its width, If its width is 15cm, What is its area. Show
your steps.
Answers
Answer:
450 cm squared
Step-by-step explanation:
W=15
L=2W =30
A= LxW
A= 15X30
A=450
8. Draw two circles with centre O and radii 3.6 cm and 4.5 cm, respectively. What are these
circles called?
Answers
Answer:
Concentric circles
Step-by-step explanation:
Given
Circle 1
[tex]r = 3.6cm[/tex]
Circle 2
[tex]r = 4.5cm[/tex]
Required
The name of the circles
See attachment for the circles.
From the attachment, the circle with radius 3.6cm is the circle with radius 4.5cm and they both have the same centre.
Such circles are referred to as concentric circles
need help on edge 6th grade math
Answers
Answer: a, 7ft
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
