Answers
Answer:
assuming this is a rectangle:
VW=31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Step-by-step explanation:
VW=VX
VW=31
WX=VX
WX=19
YW^2=19^2+31^2
YW^2=361+961
YW^2=1322
YW=36.36
ZX=1/2VX
ZX=18.18
VX=YW
VX=36.36
The measures of the rectangle are
a) The measure of VW = 31
b) The measure of WX = 19
c) The measure of YW = 36.36
d) The measure of ZX = 18.18
e) The measure of VZ = 18.18
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as VWXY
Now , the diagonals of the rectangle are VX and WY
Substituting the values in the equation , we get
The measure of VY = 19
The measure of XY = 31
Now , for a rectangle the opposite sides are congruent
So , the measure of VY = measure of WX
And , the measure of XY = measure of VW
On simplifying the equation , we get
The measure of WX = 19
The measure of VW = 31
And , the diagonal of the rectangle = √ ( Length )² + ( Width )²
Substituting the values in the equation , we get
The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²
The diagonal of the rectangle YW = √ ( 961 + 361 )
The diagonal of the rectangle YW = 36.359 ≈ 36.36
And , the measure of VX = measure of YW = 36.36
Now , the measure of ZX = measure of VZ = measure of VX / 2
So , the measure of ZX and VZ = 36.36 / 2 = 18.18
Hence , the diagonal of the rectangles is 36.36
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Related Questions
Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please
Answers
Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answers
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
Can someone please Classify the angles ? I don’t need a conclusion ....
Answers
Answer:
Right triangle
Step-by-step explanation:
A right triangle is a triangle in which one angle is a right angle.
square abcd has an area of 4m^2. square pqrs has an area of 36m^2. What is the similarity ratio of square abcd to square pqrs
Answers
Answer:
1:9
Step-by-step explanation:
Indicate below whether the equation in the box is true or false.4/8 = to 6/10
Answers
Answer:
Not equal. So, false.
Step-by-step explanation:
Just cross multiply
40 and 48
so no, they're are not equal.
Answer:
False
Step-by-step explanation:
En un día de febrero, una ciudad de Estados Unidos registró una temperatura mínima de 9° bajo cero y una temperatura máxima de 13°C. ¿De cuántos grados fue el intervalo de temperaturas registradas?
Answers
Answer:
La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:
5Step-by-step explanation:
En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:
9°C10°C11°C12°C13°CComo puedes ver, los grados en el intervalo de temperaturas registradas serían 5.
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answers
Answer:
54in
Step-by-step explanation:
i took the test
Which graph shows a proportional relationship?
Answers
There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Let the two variables x and y.
Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have
The variable y is directly proportional to the variable x.
y ∝ x
When the proportionality sign is removed a constant k comes into the equation. That is given as
y = kx
There is a linear relationship between the variables x and y.
And the line that passes through the origin.
The graph is shown below.
More about the ratio and the proportion link is given below.
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Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound
of candy.
Answers
Answer:
$0.88 per pound
Step-by-step explanation:
you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound
Work out the perimeter of an equilateral triangle with side length 2.7mm
Answers
Answer:
, so easy
Step-by-step explanation:
3×2.7mm=8.1mm
Answer:
8.1mm
Step-by-step explanation:
equilateral triangle all sides are equal.
If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm
Christina is having a Super Bowl party with 7 of her celebrity friends. Kobe lives 32 miles from Christina. Will Smith has to drive 32 miles to get to Christina’s. Kim Kardashian will drive 15 miles to get there. Wiz Khalifa is going to ride his bike 2 miles to get there. Andre 3000 is going to run 3 miles to get to Christina’s, and Lebron lives 32 miles from Christina’s house as well. Cardi B lives 45 miles from Christina. What is the median, mode, and mean of distance that they can travel? Complete the table below.
Answers
Answer:
Median: 32
Mode: 32
Mean of Distance: 22.60
Step-by-step explanation:
2, 3, 12, 32, 32, 32, 45
kobe 32 miles away
will smith 32 miles away
kim 12 miles away
wiz 2 miles away
andre 3 miles
lebron 32 miles
cardi b 45 miles
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answers
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?
Answers
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
[tex] = \tt \: x + x - 9 + 4x = 105[/tex]
[tex] = \tt2x + 4x - 9 = 105[/tex]
[tex] = \tt 6x - 9 = 105[/tex]
[tex] = \tt6x = 105 + 9[/tex]
[tex] = \tt6x = 114[/tex]
[tex] = \tt x = \frac{114}{6} [/tex]
[tex] = \tt x = 19[/tex]
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19Answer:
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105
= \tt2x + 4x - 9 = 105=2x+4x−9=105
= \tt 6x - 9 = 105=6x−9=105
= \tt6x = 105 + 9=6x=105+9
= \tt6x = 114=6x=114
= \tt x = \frac{114}{6}=x=
6
114
= \tt x = 19=x=19
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore,
Money with Kira = $10
Money with Charlie = $76
Money with Miguel = $19
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answers
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
Lainey bought a set of 20 markers for $6
What is the cost of 111 marker?
Answers
Answer:
370
Step-by-step explanation:
First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333
Then find amount for all pencils
3.333 by 111 is 369.963
Then we round up to have a realistic amount of pencils to 370
Find m<YQR pls need grade gud.
Answers
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
2. Which equation is equivalent to 2 + 4x = 5 - 3(x + 1)? A. 2 + 4x = 2x - 3 B. 2 + 4% = 5 - 3 -3. C. 6x = 5-(+ 1). D. 2 + 4 = 2/5 1).
Answers
Answer:
B) 2 + 4x = 5 - 3 - 3x
Step-by-step explanation:
By simplifying JUST the right side and re-arranging them
2 + 4x = 5 - 3(x + 1),
2 + 4x = 5 - 3x -3,
2 + 4x = 5 -3 - 3x
-2y+6=-12
What does y equal?
Answers
Answer:
y = 9
Step-by-step explanation:
-2y+6=-12
subtract 6 on both sides: -2y=-18
divide both sides by -2: y=9
Answer:
[tex]y = 9[/tex]
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex] - 2y = - 12 - 6[/tex]
2) Simplify -12-6 to -18.
[tex] - 2y = - 18[/tex]
3) Divide both sides by -2.
[tex]y = \frac{ - 18}{ - 2} [/tex]
4) Two negative makes a positive.
[tex]y = \frac{18}{2} [/tex]
5) Simplify 18/2 to 9.
[tex]y = 9[/tex]
So, Yherefor, the answer is, y = 9.
3x-2y=12 and 3x+5y=33
Answers
Answer:
x=6, y=3. (6, 3).
Step-by-step explanation:
3x-2y=12
3x+5y=33
--------------
-3x+2y=-12
3x+5y=33
-------------------
7y=21
y=21/7=3
3x-2(3)=12
3x-6=12
3x=12+6
3x=18
x=18/3=6
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
Answers
Please tell me the answers i am confused and need help
Answers
Answer:
Simplified= 7x+6 When x=3 the expression=27
Step-by-step explanation:
How to find the slope and y intercept from two coordinate pairs
Answers
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b
Answer:
Slope: y2-y1/x2-x1
Step-by-step explanation:
You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.
To find y-intercept, x needs to be 0 on a graph.
Hope this helps!
Drag and drop each equation to match the type of solution.
Answers
Answer:
B, A, C
Step-by-step explanation:
Factor as the product of two binomials. x^2-9x+20
Answers
Answer:
(x-4)(x-5)
That is the answer, hope it helps.
You must substitute the (x, y) and check that the POI makes both equations ___.
TRUE because they both check out.
FALSE because they cannot work.
Answers
what are the coefficients in the expression 4x+y+6z+12
Answers
Answer:
4, 1, 6
Step-by-step explanation:
The coefficient of x is 4
The coefficient of y is 1
The coefficient of z is 6
The coefficient of a variable is the number that appears before it.
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111
Answers
x+12=38
The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit
Answers
Answer:
The answer is D
Step-by-step explanation:
If you add them all, and divide them it wouldn’t get 14.5
Answer:
No, the mean should be higher.
Step-by-step explanation:
Have a good day :)
Determine the area of the triangle when tana=1 the image is in the picture above
Answers
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Make h the subject
G=5h-2f÷3
Answers
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )