△MNO ~△DEF. Identify the perimeter and area of △MNO to the nearest tenth. PLEASE HELP!!!

MNO ~DEF. Identify The Perimeter And Area Of MNO To The Nearest Tenth. PLEASE HELP!!!

Answers

Answer 1

Answer:

Option A: P ≈ 38.7 in, A ≈ 63.7 in²

Step-by-step explanation:

We are told that △MNO ~△DEF. This means that they are similar triangles.

We can solve for this using scale factor.

a) Perimeter of △MNO

The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles

Scale factor(k) = ratio of the sides of the triangles

In the diagram we are given

Side of △MNO = 6.7in

Side of △DEF = 9in

Perimeter of △MNO = X

Perimeter of △DEF = 52in

Scale factor (k) = 6.7/9

Hence,

6.7/ 9 = X/52

Cross Multiply

9X = 6.7 × 52

X = 6.7 × 52/9

X = 38.711111111 inches

To the nearest tenth, Perimeter of △MNO = 38.7 inches

b) Area of △MNO

The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles

Scale factor(k) = ratio of the sides of the triangles

In the diagram we are given

Side of △MNO = 6.7in

Side of △DEF = 9in

Area of △MNO = Y

Area of △DEF = 115in²

Scale factor (k) = 6.7/9

Hence,

(6.7/ 9)² = Y/115

6.7²/9² = Y / 115

Cross Multiply

9² × Y = 6.7² × 115

Y = 6.7²× 115 /9²

Y = 63.732716049 square inches

To the nearest tenth, Area of △MNO = 63.7 in²


Related Questions

which of the following represents a term from 3x^2+8x-10

Answers

Answer:

3x^2 or 8x

Step-by-step explanation:

Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.

Answers

Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation:

Suppose a cube is given. How many different triangles can be formed by connecting 3 of the vertices of the cube?

Answers

I think the answer might be 10

y = x^2 + 2x - 8 Solve with zeros

Answers

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

Katie has an antique glass cabinet in the shape of a triangular prism. The base is an equilateral triangle that has a side length of 2 feet and a height of 1.7 feet. The height of the entire cabinet is 4.5 feet. How many cubic feet of space are inside the cabinet? 7.65 ft3 15.3 ft3 27 ft3 30.4 ft3

Answers

Answer: 7.65 ft3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = base area x height

Since:

Area of a triangle (base) = side length x height  

Replacing with the values given:

A= (2 x 1.7 )/2 = 1.7 ft2

Back with the volume formula:

V = base area x height

Replacing with the values given:

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You are taking 1500 US dollars on a trip. After checking the exchange rate, you figure out the exchange rate is 1 US dollar to 0.74 euros. Task: write an equation to convert US dollars to euros. Will mark most brainiest if you answer!

Answers

Answer:

y= 0.74x

0.74 (1500) = 1,110 euros

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Since: 1 US dollar = 0.74 Euros

To convert x US dollars to Euros we have to multiply it by 0.74:

y= 0.74x

Where:

y = value in EUROS

x = value in US dollars

For 1500:

y = 0.74 (1500) = 1,110 euros

Feel free to ask for more if needed or if you did not understand something.

Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?

Answers

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of these integers?

Please help me on this

Answers

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

-6+4q+(-6q) help me with this expression please

Answers

Answer:

-2q - 6

Step-by-step explanation:

Step 1: Rewrite expression

-6 + 4q - 6q

Step 2: Combine like terms

-6 - 2q

Step 3: Rearrange

-2q - 6

Answer:

The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.

Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35

Answers

Answer:

B: 15

Step-by-step explanation:

I got it right on Edge

The value of 'x' in the top angle is 5 degrees.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.

We know the sum of all the interior angles in a triangle is 180°.

Therefor, 2x + 100° + 70° = 180°.

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x = 5°.

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SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

answer is 45 if helped please give 5 star

45 I believe, I hope it helped :,0

Task: E = mc2
E = mc2 is one of the most recognizable equations in the world. Published by Albert Einstein in 1905, the
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roots (radicals).

Answers

Answer:

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

Step-by-step explanation:

[tex]E = mc^2[/tex]

[tex]$c^2=\frac{E}{m} $[/tex]

[tex]$c=\sqrt{\frac{E}{m} } $[/tex]

or

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

The equation will be , C= (E/3)^1/2

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

Algebraic Expressions

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

E = mc^2

c² = E/m

c= √ (E/m)

or,

C=  (E/m) ^1/2

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14. An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
A. 45
B. 90
C. 15
D. 20

Answers

Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

Express 3*(4*5) as a common fraction given a*b= (ab)/(a+b) .

Answers

Sorry, not sure I understand.  (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.

ABCD is a parallelogram. Find the measure of angle , (Give reason)

Answers

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.  Thus, angle y = 100 degrees.  In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.

Hope it helps <3

last one , somebody help me please .

Answers

Answer:

4x -2 = -2x +6

Step-by-step explanation:

The red is negative

4x -2 = -2x +6

Answer:

B

Step-by-step explanation:

The following quadrilateral is a parallelogram.
W
V
12
?
T
11.5
Side WT is
units long​

Answers

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

PLEASE I NEED AWANSER NOW The Stem-and-Leaf Plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale held in a shoe-store at the local supermarket. What is the range of this data set? A.(20 B.(29 C.(24 D.(26

Answers

Answer:

c

Step-by-step explanation:

Answer:

(d) makes sense to me!!

Step-by-step explanation:

What is the distance to the earth’s horizon from point P? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = mi

Answers

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

An audiologist is testing a patient to determine the softest sound of a specific frequency that the patient reports hearing. She begins with a 10 decibel (dB) sound for trial 1, then increases the volume by 2 dB for each trial after that. If the patient can hear all sounds of that frequency that have a volume louder than 26 dB, and t represents the trial numbers that the patient can hear, which of the following inequalities best models the situation described above?

Answers

Answer:

26 <t+2

Step-by-step explanation:

The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.

Hope this helps!

6.) Polygons that do
not have all sides
equal and/or all
angles equal

Answers

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro

Answers

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer:

Step-by-step explanation:

The fair comes to town, and Alex and his father go to the archery range. His father agreed to let him have ten arrows. For each arrow that hit the target, Alex got two more arrows. At the end, Alex had used a total of 40 arrows. How many arrows hit a target in all?

Answers

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

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What is the 7th term in the sequence of square numbers?

Answers

Answer:

49

Step-by-step explanation:

The n th term of square numbers is calculated using

[tex]a_{n}[/tex] = n²

Thus for the 7 th term, let n = 7 , that is

a₇ = 7² = 49

what is the formula for tan theta

Answers

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Step-by-step explanation:

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

helpp i got -4 am i correct?

Answers

Answer:

-4

Step-by-step explanation:

Slope is rise over run:

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The table is a linear function, so any two points from the table would have a consistent slope.  

Pick two points and apply them to the formula:

(-4,-2) and (-2, -10)

[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]

The slope is -4.  Yes, your answer should be correct.

1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down

Answers

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ

Answers

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

What is Sine law?

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

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250 people went to a "couples only" party at 9pm.70 people left at 11pm, how many couples stayed at the party?

Answers

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is
1 to 1
4 to 4
4 to 1
1 to 4​

Answers

Answer:

1 to 4 (1:4)

Step-by-step explanation:

every 1 mile to every 4 miles

car A 1 mile to car B 4 miles

Answer:

whats the question?

Step-by-step explanation:

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