Find the lengths of the diagonals of rectangle WXYZ.
WY = 62 – 7
XZ = 3x + 2
The length of each diagonal is
units.

Find The Lengths Of The Diagonals Of Rectangle WXYZ.WY = 62 7XZ = 3x + 2The Length Of Each Diagonal Isunits.

Answers

Answer 1
S O L U T I O N :

According to the question,

WY = (6x - 7) unitsXZ = (3x + 2) units

As we know that,

Diagonals of a rectangle are equal.

[tex] \\ \twoheadrightarrow \sf { WY = XZ} \\ [/tex]

[tex] \\ \twoheadrightarrow \sf { 6x - 7 = 3x +2} \\ [/tex]

[tex] \\ \twoheadrightarrow \sf { 6x - 3x = 2 + 7} \\ [/tex]

[tex] \\ \twoheadrightarrow \sf { 3x = 9} \\ [/tex]

[tex] \\ \twoheadrightarrow \sf {x =\dfrac{9}{3} } \\ [/tex]

[tex] \\ \twoheadrightarrow \bf\underline { x = 3} \\ [/tex]

Therefore,

[tex] \\ \twoheadrightarrow \sf { WY \; \& \; XZ = (3x - 2) \; units} \\ [/tex]

Since, WY = XZ

[tex] \\ \twoheadrightarrow \sf { WY \; \& \; XZ = 3(3) + 2 \; units} \\ [/tex]

[tex] \\ \twoheadrightarrow \sf { WY \; \& \; XZ = 9 + 2 \; units} \\ [/tex]

[tex] \\ \twoheadrightarrow \bf\underline { WY \; \& \; XZ = 11\; units} \\ [/tex]

Therefore, length of each diagonal is 11 units.

Find The Lengths Of The Diagonals Of Rectangle WXYZ.WY = 62 7XZ = 3x + 2The Length Of Each Diagonal Isunits.

Related Questions

7.(08.03)
Consider the following pair of equations:
y = x + 4
y = - 2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (20 points!)

Answers

Answer:

(-2, 2).

Step-by-step explanation:

y = x + 4

y = - 2x - 2

Substitute y = x + 4 in the second equation:

x + 4 = -2x - 2

x + 2x = -2 - 4

3x = -6

x = -2.

Now substitute x = -2 in the first equation:

y = -2 + 4 = 2.

Check the results by substituting for x and y in equation 2:

2 = -2*-2 - 2 = 4 - 2 = 2.  - this checks out.

Answer:

(-2, 2).

Step-by-step explanation:

d

Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat
35 hot dogs if she can keep up the same pace.
How many minutes would Mika need to eat 35 hot dogs?

Answers

Use proportions to solve it then cross multiply.

If the mean of the data below is 3.8, find m
x 1 2 3 4 5 6
f 1 4 7 m 6 3​

Answers

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

[tex]3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8[/tex]

So, the value of m is equal to 1.8.

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answers

Answer:

Step-by-step explanation:

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

P(F U P) = P(F) + P(P) - P(F n P)

How many solutions does this equation have?
-5x-2=-5x-5

Answers

Answer:

4

Step-by-step explanation:

Answer: It has no solutions.

(Hope this helps!)

pls pls pls pls help me pls I will give brainlist

Please define (provide the meaning) the following forms of rocks:

1. Igneous Rocks

2. Sedimentary Rocks

3. Metamorphic Rocks

Answers

There are three kinds of rock: igneous, sedimentary, and metamorphic.
Igneous rocks form when molten rock (magma or lava) cools and solidifies. Sedimentary rocks originate when particles settle out of water or air, or by precipitation of minerals from water. They accumulate in layers. Metamorphic rocks result when existing rocks are changed by heat, pressure, or reactive fluids, such as hot, mineral-laden water. Most rocks are made of minerals containing silicon and oxygen, the most abundant elements in the Earth’s crust.

621,584 round to the nearest ten

Answers

Answer:

621,580

and i have to add at least 20 characters so how is everyone’s day?

Answer:

621,580

Step-by-step explanation:

nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.

On Alex's map, 0.5 inch represents 20 miles.
Which equation can be used to find the number of miles, m, represented by n inches?
A
m = = 0.5 (20n)

Answers

Answer: I think it A because the other ones doesn’t make sense

Step-by-step explanation:

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

It’s c
STEP BY STEP EXPLANATION

Answer:

A,B and C i think

...........................

1. 7.EE.1.1
Which of the equations shows an
application of the Zero Property of
Multiplication?
A. b + 0 = b
B. (3y) = y
C. 0.= 0
=-5

Answers

Answer:

None of the above but if you had to choose one it would be C.

If you had to choose one choose c.

PLEASE ANSWER QUICKLY!! ASAP ILL GIVE BRAINLIEST!!! While taking measurements of the lengths of chalk pieces, the teacher records the lengths 5, 5, 4, 3, 2, 5, 4, and 4 inches.
If a line plot were to be made, the number of "X"s placed above the 2 would be ____
above the 3 would be
____
above the 4 would be _____
and above the 5 would be
_____.​

Answers

Answer:

No. X's above 2: 1

Above 3: 1

Above 4: 3

Above 5: 3

Step-by-step explanation:

Drawing a line plot of a data set means that you record the number of times that particular value shows up in the set. 2 on the line plot would only have 1 'X' placed above it because there is only one 2 in the data set:

5, 5, 4, 3, 2, 5, 4, 4

3 would also have 1 'X' above it because there is also only one 3 in the data set:

5, 5, 4, 3, 2, 5, 4, 4

Similarly, 4 and 5 would both have three 'X's because there are three 4's and three 5's in the data set:

4's: 5, 5, 4, 3, 2, 5, 4, 4

5's: 5, 5, 4, 3, 2, 5, 4, 4

Hope this helped!

what anime does the main character say I'm gonna be king of the pirates? ​

Answers

Answer:

One Piece maybe

Step-by-step explanation:

Answer:

One Piece I think

Step-by-step explanation:

Need help, no links. Thanks

Answers

Answer:

Solution given:

now

base[b]=8

hypotenuse [h]=17

perpendicular [p]=15

by using Pythagoras law

p²+b²=h²

15²+8²=17²

289=289

It satisfied so

AB is a tangent to the circle.

can someone help me fast I have a test & don’t have a lot of time left !!!

Answers

Answer:

144.2 yards

Step-by-step explanation:

120^2 x 80^2 = 144.2 repeating

since it is a rectangle, if you split it in half diagonally, then it becomes a triangle, and you then use the pythagorean theorem, which is a^2 + b^2 = c^2.

S
13. What type of trend does the scatter plot below show? What type of real-world situation might (1 point)
the scatter plot represent?
O positive trend; weight and height
negative trend: weight and height
no trend: the number of pets owned and the owner's height
negative trend; the water level in a tank in the hot sun over time

Answers

Answer:

Step-by-step explanation:

Positive trend weight and height

because the scatter plot is increasing.

Hope this helps!

which of the following cannot be the graph of a function of X?

Answers

Answer: Choice D

Why not? Because it fails the vertical line test. Here it is possible to draw a single straight vertical line through more than one point on the curve. That's why choice D is not a function. Choices A,B,C are functions because it's impossible to draw a single vertical line through more than two points on the curve, and therefore we can say they pass the vertical line test.

Side note: choices B and C fail the horizontal line test, so these functions are not one-to-one.

(4x + 11)° (5.6 - 10)​

Answers

10.6x …………………………………………

simplify -3[4-2(3^2)] show work

Answers

Answer:

42

Step-by-step explanation:

-3[4 - 2(3^2)]

-3[4 - 2(9)]

-3[4 - 18]

-3[-14]

= 42

Answer:

42.

Step-by-step explanation:

Whenever solving problems that include multiple operations, remember this: BPEMDAS:

BracketsParenthesisExponentiantation (Exponents)Multiplication/Division (Solve whatever comes first)Addition/Subtraction (Solve whatever comes first)

[tex]-3[4-2(3^2)][/tex]

First, we solve what is in brackets.

[tex][4-2(3^2)][/tex]

While solving in brackets, we should still follow the order of operations.

There are no parenthesis, but there are exponents.

[tex]3^2=9[/tex]

Now we are left with:

[tex]-3 [4-2*9][/tex]

There is multiplication.

[tex]2*9=18[/tex]

[tex]-3[4-18][/tex]

There is no addition, but there is subtraction.

[tex]4 - 18 = -14[/tex]

Now we are left with:

[tex](-3)*(-14)[/tex]

[tex](-3)*(-14)=42[/tex]

Therefore, [tex]-3[4-2(3^2)]= 42.[/tex]

please answer below :-)

Answers

Answer:

D) 18.5

Step-by-step explanation:

brainlyess

If José's present age is 3 n, how old will he be in 5 years?

Answer options with 5 options

A.3 n plus 5
B.3 n times 5
C.3 n minus 5
D.15 n

Answers

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

Present age of José = 3n

Age of José in 5 years

[tex] = 3n + 5[/tex]

A. 3n + 5 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

Present age of Jose is 3 n, how old will he be in 3 years!?

3n+5

So, the answer is A

calculate decrease in 71.2kg of 25%​

Answers

Answer:

53.4.......

follow me........


(b) Principal = * 8000, Rate = 8% p.a., Time=2*1/2years​

Answers

Answer:

Step-by-step explanation:

time=1 years

interest=principal*time*rate/100

=8000*1*8/100

=64000/100

=640

therefore interest=640

Answer:

Compound Interest = 9680

Step-by-step explanation:

The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

Where;

A = Compound Interest

P = Principal amount

r = Rate of interest

n = amount of deposite annually

t = total time

Therefore:

[tex]A = 8000(1 + \frac{0.08}{1})^1^*^2^.^5[/tex]

[tex]A = 8000(1 + 0.08)^2^.^5[/tex]

[tex]A = 8000(1.08)^2^.^5[/tex]

A = 8000(1.21)

A = 9680

Therefore, the compound interest = 9680

Hope this helps!

Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.

0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86

ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!​​
50 POINTS!!!!

Answers

Answer:

hope this helps you. look it once

The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet

Answers

Answer:

Length = 37 feets

Width = 44 feets

Step-by-step explanation:

Given that :

Length = l

Width, w = 7 + l

Perimeter , P of rectangle = 162

Recall:

Perimeter of a rectangle = 2(l + w)

P = 2(l + w)

162 = 2(l + (7 + l))

162 = 2(l + 7 + l)

162 = 2(7 + 2l)

162 = 14 + 4l

162 - 14 = 4l

148 = 4l

l = 148 / 4

l = 37 feets

Width = l + 7

Hence,

Width = 37 + 7 = 44 feets

The graph shows how many miles Barrett traveled over a 5 hour time frame. The point (1,50) is on the graph what is the unit rate for the first hour?​

Answers

Answer:

Step-by-step explanation:

The answer is B 50

A circular wall clock has a diameter of 18 cm which measurement is closest to the circumstances of the clock in cm

Answers

Answer:

56.55cm

Step-by-step explanation:

I assume that you mean circumference instead of circumstances, so if so then that is the answer

I need help with this!

Answers

Answer:

A)  21d + 48 = 426

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if the x is the like repeating one, then its the 21 per day, see it has per in it

for the 48, its just additional so we put it equal to 426 since thats the total amount giving us the equation

21d + 48 = 426

21d = 378

d= 18

it took 18 days

HELP WORTH 50 points

Answers

Answer: π = 218956.44

Step-by-step explanation:

π = (132π^2)4

π = (54739.11)4

π = 218956.44

Answer:

218956.4

Step-by-step explanation:

An all-star baseball team has a roster of seven pitchers and three catchers. How many pairs of pitchers and catchers can the manager select from this roster?

Answers

Answer:

3 pairs

Step-by-step explanation:

there is only 3 catchers so there can only be three pairs

What does x=___________

Answers

Answer:=60

Step-by-step explanation:

Answer:

x  = 60

Step-by-step explanation:

The tick marks imply that all the sides are equal so this is an equilateral triangle. In an equilateral triangle all the angles are the same so since we know one angle is 60 we know the other two are 60 too.

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