Answer:
Step-by-step explanation:
as both sides are equal so
7x-6 = 3x+14
7x-3x = 14+6
4x = 20
x= 5
Now, put x in 7x-6 to find WZ
7(5)-6 = 29
Also, 3(5)+14 = 29
The measurement of the side WZ of rectangle WXYZ is 29.
What are rectangles?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, WXYZ is a rectangle, we need to find WZ,
As we know that, a rectangle is a type of parallelogram and opposite sides of a parallelogram are equal and parallel,
WZ and XY are opposite sides of the rectangle, therefore, are equal.
Thus,
WZ = XY
7x - 6 = 3x + 14
4x = 20
x = 5
Put x =5 in 7x - 6
WZ = 7(5) - 6
WZ = 29
Hence, the measurement of the side WZ of rectangle WXYZ is 29.
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Which point is the reflection of point E across the y-axis ? What’s are it’s coordinates?
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
PLATO
Greg has a 15 foot ladder. He needed to clean his gutters which are 12 feet high from the ground. How far away does Greg need to place the ladder from the base of the house to reach the gutters
Answer:
Base = 81 feet
Step-by-step explanation:
Given that,
Length of the ladder = 15 foot
Greg needed to clean his gutters which are 12 feet high from the ground.
We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.
Here, hypotenuse = 15 feet, height = 12 feet and base = b
We can use Pythagoras theorem to find b.
[tex]b^2+h^2=H^2\\\\b^2=H^2-h^2\\\\b^2=15^2-12^2\\\\b^2=225-144\\\\b=81\ \text{feet}[/tex]
So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
d=4t
Step-by-step explanation:
Jayla paints a book case. She uses 1 5/6 cups of paint on the outside of the book case and 3/8 cup of paint on the inside. How many cups of paint does Jayla use altogether
Answer:
Answer: Kayla used 2&5/24 cups of paint all together.
Step-by-step explanation:
Kayla paints a bookcase by using
1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.
She also used 3/8 cup of paint on the inside.
Therefore, the total number of cups of paint that Kayla used all together would be cups of paint:
[tex]11/6 + 3/8 = (44 + 9)/24 = 53/24[/tex]
Converting to mixed fraction, it becomes
2 and 5/24 cups of paint
In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Answer:
a. 66.8%
b. 0.855
Step-by-step explanation:
In a recent survey in a Statistics class,
Percentage of students that attended class on Friday = 60%
Percentage of students that did not attend class on Friday = 100 - 60% = 40%
Percentage of those who went to class on Fridays and passed the course = 98%
Percentage of those who did not go to class on Fridays and passed the course = 20%
a. What percentage of students is expected to pass the course?
This is calculated as:
= 60% × 98% + 40% × 20%
= 0.668
Converting to percentage
= 0.668 × 100
= 66.8%
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
We solve using Baye's Theorem
= [60 × 98%]/[60% × 98% + 40% × 20%]
= 0.588 /0.688
= 0.8546511628
Approximately = 0.855
Part(a): The required pass percentage is 66.8%
Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]
Given that,
P(Friday) = 0.60, P(No Friday) = 0.40
[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]
Part(a): The percentage of students expected to pass the course is 0.668.
[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]
Part(b):
The probability that he/she attended classes on Fridays is 0.8802
[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]
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The ability to influence another is a function of ______
= Dependency
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
BD bisects ABC. Find the value of x.
a.x=3/17
b.x=3
c.x=9
d.x=-3
Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10)
Answer:
cv vfgvbgfgvd
Step-by-step explanation:
I need help with this shi
Here's a graph of a linear function. Write the equation that describes that function.
Ashley is buying her husband new video games for his PS4. The new Call of Duty and Madden Football is a total of $98.35. How much does each game cost if they cost the same amount?
Answer: $49.18
Step-by-step explanation:
$98.35 divided by 2 equals 49.175 if rounded it is $49.18
y = -1X + 9
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.
Answer:
Step-by-step explanation:
It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.
All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9
Which of the following numbers is not a prime number?
7
9
3
13
Answer:
9 is not a prime number.
Answer:
9 is not a prime number. Hope that helps.
Which equation is a linear function?
y= 2 + 3
y = 22 - 1
y= 22 +7
if 14 inches on a map represent a distance of 74 miles,what distance does 8 inches represents?
Answer:
42 M
Step-by-step explanation:
14 =74
8/14 = ?/74
8/14= 0.57
So,
0.57*74 = 42
Answer:
x=42
Step-by-step explanation:
Please see the picture attached. I hope this helps!
Help I don’t understand
Step-by-step explanation:
Answer:
1 pounds
Step-by-step explanation:
It basically means theres 1000 things that all weigh the same, so they add up to 0.1 pounds (0.1/1000= 0.00001 ) All you need to do is multiply by 10 so it would be 1 pound :)
A bag contains 20 red marbles, 8 white marbles, and 2 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 120 times. How many white or gray marbles do you expect to get?
please answer soon!!
Answer:
10
Step-by-step explanation:
If William wants to travel 450 miles in 12 hours, what constant speed (miles per hour) must he travel?
Answer: 37.5 rounded it would be 38
Step-by-step explanation:
Point A is in Quadrant III. The ordinate in this point is _______.
A. both – and +
B. negative (-)
C. positive (+)
D. zero
Answer:
if im right its negative
Negative I’m pretty sure sorry if I’m wrong
Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey?
Answer:
300
Step-by-step explanation:
Please help me with my homework!!!!
Answer: -19 i think
Step-by-step explanation:
What is the decimal Expansion of the following fraction?
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
Solve the matrix equation below
Answer:
We need to distribute the values Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]Find the volume of the right cylinder. Round your answer to two decimal places.
Answer:
307.88
Step-by-step explanation:
What is the linear inequality of the graph shown?
Answer:
Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line
Answer:
y>4x-2
Step-by-step explanation:
Find the slope, which is 4, from (0,-2) and (1,2).
Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).
We know the equation would be a greater/less than sign because the line is dashed.
To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).
(0)<4(0)-2 (0)>4(0)-2
0<0-2 0>0-2
0<-2 0>-2
The one on the right, 0>-2, is true so the sign is a greater than sign.
12) Findthe side lengths of cach triangle in the graph that relate to the slope of the line.
Step-by-step explanation:
for the triangle on the left side of the x-axis
the perimeter is :
[tex] {c}^{2} = {2}^{2} + {4}^{2} \\ {c}^{2} = 16 + 4 \\ {c}^{2} = 20 \\ c = \sqrt{20} = 4.47[/tex]
for the triangle on the right side of the x-axis
the perimeter is :
[tex] {c}^{2} = {3}^{2} + {6}^{2} \\ {c }^{2} = 9 + 36 = 45 \\c = \sqrt{45} = 6.708 = 6.71[/tex]
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
amount of money Bradley still owes his parents?
Answer:
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Step-by-step explanation:
Given that:
Amount Bradley owes = $275
Amount Bradley pays each week = $55
Let,
x be the number of weeks.
We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;
f(x) = 275 - 55x
Hence,
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Which method can be used to solve 11\times13?11×13?
The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.
In math times means: Multiplication.
Help asappppp ? Writing linear Equations?
Answer:
C=0.75m+3
Step-by-step explanation:
3=flat fee
0.75 per mile
m=mile
c=cost
The perimeter of this shape is 29 cm.
What the value of x?
Answer:
X=7
Step-by-step explanation:
So first add them all up
x-2+2x+x+3=4x+1
4x+1=29
4x=28
x=7