Answer: The correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
Step-by-step explanation: Given that WY and ZX are the diagonals of a kite that intersect at the point V.
We are to select the correct statements from the given options.
KITE: A quadrilateral having adjacent sides congruent and the diagonals bisect each other perpendicularly.
As shown in the attached figure, WY and ZX are the diagonals of the kite WZYX.
Since WY and ZX intersect at the point V, so they will bisect each other perpendicularly.
That is, WY is perpendicular to ZX. And, also
∠WVZ = ∠WVX = ∠ZVY = ∠XVY = 90°.
Since WZ is perpendicular to ZX, so they cannot be parallel.
Also, since the diagonals of a kite may not be equal, so WY ≠ ZX.
So, options (3) and (5) are incorrect.
Thus, the correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
The figure below shows a rectangular prism and a cube: How many such cubes are required to completely pack the prism without any gap or overlap? the length is 6in. width is 5/6 and the height is 1 2/6 the cube side is 1/6
The number of cubes should be 1.440.
The calculation is as follows:Calculate the volume of each shape is as follows:
Volume of rectangle = [tex]6 \times 5\div 6 \times 1\ 2\div 6 = 6\ 2\div 3[/tex] cubic inches.
And,
Volume of cube =[tex] 1\div6 \times 1\div6 \times 1\div6 = 1\div216[/tex] cubic inch.
Now
divide the volume of the rectangle by the volume of the cube:
So,
[tex]= (6\ 2\div 3) \div (1\div 216)[/tex]
= 1.440
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Question: Rationalize the denominator
Help I don't know this answer
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
800 grams =
pounds
700 grams =
pounds
The weight of each tire in pounds is approximately:
Full steel bead tire: 1.76 pounds.
Lighter wheel: 1.54 pounds.
Given that the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams.
We need to convert the weights into pound.
To convert the weight of each tire from grams to pounds, we'll use the conversion factor that there are 453.592 grams in one pound.
Weight of a full steel bead tire in pounds:
800 grams x (1 pound / 453.592 grams) ≈ 1.76 pounds
Weight of a lighter wheel in pounds:
700 grams x (1 pound / 453.592 grams) ≈ 1.54 pounds
Rounded to 2 decimal places:
Weight of a full steel bead tire = 1.76 pounds
Weight of a lighter wheel = 1.54 pounds
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How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin and rolling a dice
Which conversions from scientific notation to standard notation are true? Check all that apply.
The correct conversion from scientific notation to standard notation are:
b) [tex]8.05\times 10^5[/tex]
e) [tex]7.09\times 10^{-6}[/tex]
Step-by-step explanation:We know that when we have a power of 10 as positive then the decimal is shifted to the right and if the power of 10 is negative then we shift the decimal to the left.
a)
[tex]1.71\times 10^3[/tex]
As the power of 10 is positive hence we shift the decimal to the right 3 places.
Hence, the conversion is:
[tex]1.71\times 10^3=1710[/tex]
b)
[tex]8.05\times 10^5[/tex]
Again the power of 10 is positive and hence we will shift the decimal 5 places to the right and the conversion is done as follows:
[tex]8.05\times 10^5=805000[/tex]
c)
[tex]2.4\times 10^4[/tex]
Since, the power of 10 is positive and hence we will shift the decimal 4 places to the right and we convert the number to standard notation as:
[tex]2.4\times 10^4=24000[/tex]
d)
[tex]8.25\times 10^{-3}[/tex]
Since, the power of 10 is negative and hence we will shift the decimal 3 places to the left and we convert the number to standard notation as:
[tex]8.25\times 10^{-3}=0.00825[/tex]
e)
[tex]7.09\times 10^{-6}[/tex]
Since, the power of 10 is negative and hence we will shift the decimal 8 places to the left.
Hence, we convert our number to standard notation:
[tex]7.09\times 10^{-8}=0.00000709[/tex]
It is accurate to convert scientific notation to standard notation in the following ways:
B [tex]8.05x10^5=805,000[/tex]
C [tex]2.4x10^4= -24,000[/tex]
E [tex]7.09x10^-^6=0.0000070[/tex]
To solve this problemFirstly, Let's evaluate each conversion one by one:
[tex]1.71x 10^3=0.00171[/tex]
This conversion is not true. The correct value of[tex]1.71x 10^3[/tex] is 1710.
[tex]8.05x10^5=805,000[/tex]
This conversion is true.
[tex]2.4x10^4= -24,000[/tex]
This conversion is true.
[tex]8.25x10^-^3=-8,250[/tex]
This conversion is not true. The correct value of [tex]8.25x 10^-^3[/tex] is 0.00825.
[tex]7.09x10^-^6=0.0000070[/tex]
This conversion is true.
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FIRST CORRECT ANSWER GETS BRAINLIEST
With _______ insurance, the insured agrees to pay a specific premium each year until death. half life
With whole life insurance, the insured agrees to pay a specific premium each year until death.
Whole life insurance is a plan that requires you to pay premiums for you entire life, thus it is known as "whole life."
A taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. What will the driver's total earnings for the hour be, after paying for gas?
What is the next value 4 D 7 G 10 J 13
Neil wants to buy some video games over the Internet. Each game costs $25.01 and has a shipping cost of $9.98 per order. If Neil wants to spend no more than $60 for his video games, which inequality shows the maximum number of video games, p, that he can buy? 9.98 + 25.01p ≤ 60, so p ≤ 2 9.98 − 25.01p ≤ 60, so p ≤ 4 9.98p + 25.01p ≤ 60, so p ≤ 5 9.98p − 25.01p ≤ 60, so p ≤ 6
Answer:
9.98 + 25.01p ≤ 60, so p ≤ 2
Step-by-step explanation:
I took a test and had this question got the answer you were told wrong
One lap around a dirt track is 1/3 mile. It takes Bryce 1/9 hour to ride one lap. What is Bryce's unit rate, in miles, around the track?
Find the quotient.
n 7 ÷ n 3
Answer: [tex]n^4[/tex]
Step-by-step explanation:
The given division problem is [tex]n^7\div n^3[/tex]
The law of exponents says that [tex]a^{m+n}=a^ma^n[/tex]
Therefore, [tex]n^7=n^{3+4}=n^3n^4[/tex]
Now, the division problem becomes
[tex]n^7\div n^3\\\\=\frac{n^7}{n^3}\\\\=\frac{n^3n^4}{n^3}\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7\div n^3=n^4[/tex]
hence, the quotient of the given problem = [tex]n^4[/tex]
Determine the theoretical probability of rolling a number larger than 3 on a standard 6-sided cube. 1/2, 1/6, 1/4, 1/3
Answer:
Option A is correct.
Step-by-step explanation:
Given: A 6-sided cube is rolled.
To find: Probability of getting a number greater than 3.
Total number of outcome when a 6-sided cube is rolled = 6
Favorable outcome = { 4 , 5 6 }
Number of favorable outcome = 3
Theoretical Probability is a probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Number\:of\:Total\:outcome}[/tex]
[tex]Probability=\frac{3}{6}=\frac{1}{2}[/tex]
Therefore, Option A is correct.
given (x-1)^2=50, select the values of x
A. x = -49
B. x = 51
C. x = 1+5√2
D. x = 1-5√2
Value of x is 1 + 5√2
Given that;
(x - 1)² = 50
Find:
Value of x
Computation:
(x - 1)² = 50
By taking square root both side
x - 1 = √50
x - 1 = 5√2
x = 5√2 + 1
x = 1 + 5√2
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The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day
*PLEASE ANSWER*
The function y=2x+4 has a domain of 2,3,5,7, and 8...
That number is not in the range of the function?
A. 8
B. 12
C. 18
D. 20
How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.
The answer would be B
Simplify 1/3 (9a+b)-1/2 (4a+2b)
Joyce saved $90 on an item that was 75 % % off What was the original price?
Solve the following equation by factoring. 2x 2 - 5x - 12 = 0
The solutions to the given quadratic equation are x=4 and x= -3/2.
The given quadratic equation is 2x²-5x-12=0.
By splitting the middle term, we get
2x²-8x+3x-12=0
2x(x-4)+3(x-4)=0
(x-4)(2x+3)=0
(x-4)=0 and (2x+3)=0
x=4 and 2x=-3
x=4 and x= -3/2
Therefore, the solutions to the given quadratic equation are x=4 and x= -3/2.
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11 POINTS GUYS PLZ
Answer 12 and 14
12) 10.77 + 2.09 + 0.75 = 13.61
13.61 x 1.07 = $14.56
total amount = $14.56
14) C shows the possible combinations
Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.
a.2 square root of 12
b.2 square root of 2
c.6 square root of 5 end root minus 4 square root of 7
d. 6 square root of 10 end root minus 4 square root of 14
Answer: Simplifying the square roots and adding the similar square roots the answer is option c. 6 square root of 5 end root minus 4 square root of 7
Solution:
3√5-2√7+√45-√28
45=9*5 and 28=4*7. Replacing in the equation above:
3√5-2√7+√(9*5)-√(4*7)
Using √(a*b)=√a√b
3√5-2√7+√9√5-√4√7
√9=3 and √4=2. Replacing in the equation above:
3√5-2√7+3√5-2√7
Adding similar square roots:
(3+3)√5+(-2-2)√7=
(6)√5+(-4)√7=
6√5-4√7
Solve for t: d = rt
t = dr
t = r/d
t = d/r
t = d + r
Answer:
t = d/r
Step-by-step explanation:
In order to solve an equation for another term from which is initally solved by another term you just have to leave the term you want to solve the equation for, in this case the "t" and to do so since in this formula it is multiplying the "r" we haec to divide both sides of the equation by "r":
[tex]d=rt[/tex]
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
Now we eliminate the since they are in both sides of the fraction:
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
And the function is solved for t.
[tex]t=\frac{d}{r}[/tex]
Brian is selling cookies at a bake sale. He earns $2.75 for each bag of cookies he sells. Write an equation to represent this scenario.
Find the Unknown that you're looking for. What is happening to that variable?
Explain the method for determining the correct degree and classification of a polynomial?
I think it is Monomials, Binomials and Trinomials
am i correct?
David obtained 10 out of 20 votes in an election. what percentage of the votes did David receive?
Factor the expression.
d2 + 10d + 9
Find the midpoint of the segment between the points (15,3) and (2,-14)
8x10,000+8x1,000+7x100+6x1
Answer:
STep by step
Step-by-step explanation: