Show two of the triangles below are similar. Include a similarity statement and show work to support your statement. (The numbers on the first one that are blurry are 8’s)

Show Two Of The Triangles Below Are Similar. Include A Similarity Statement And Show Work To Support

Answers

Answer 1

Answer:

1. ΔABC ~ ΔMPN by AA, similarity postulate

2. No two triangles among the triangles ΔRST, ΔKLM, and ΔJRW are similar

Step-by-step explanation:

1. It is required to show that two of the given triangles are similar;

ΔABC is a right triangle, [tex]\overline {AC}[/tex] = 8, [tex]\overline {CB}[/tex] = 12, ∠A = 38°

∴ ∠B = 90° - 38° = 52

The ratio of the legs =  [tex]\overline {AC}[/tex]/[tex]\overline {CB}[/tex] = 8/12 = 2/3

ΔDEF is a right triangle, the legs [tex]\overline {DF}[/tex] = 10, and [tex]\overline {EF}[/tex] = 12

The ratio of the legs = [tex]\overline {DF}[/tex]/[tex]\overline {EF}[/tex] = 10/12 = 5/6

∴ ΔABC is not similar to ΔDEF as  [tex]\overline {AC}[/tex]/[tex]\overline {CB}[/tex] ≠ [tex]\overline {DF}[/tex]/[tex]\overline {EF}[/tex]

ΔMPN is a right triangle, ∠M = 52°, therefore, ∠N = 90° - 52° = 38°

Two angles in triangle ΔMPN are equal to two angles in triangle ΔABC, therefore;

ΔABC ~ ΔMPN by Angle-Angle, AA, similarity postulate

2. The two given angles in ΔRST are ∠R = 45° and ∠S = 67°

The two given angles in ΔKLM are ∠K = 45° and ∠SL = 68°

The given angles in ΔJRW are ∠J = 21° and ∠R = 90° therefore, ∠W = 90 - 21 = 69°

No two triangles in ΔRST, ΔKLM, and ΔJRW are similar.


Related Questions

What is the MODE of the data - (12, 8, 6, 12, 16, 12) *

help plsssss

Answers

Answer: Mode = 12

Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).

Answer:

12

Step-by-step explanation:

For future reference mode means MOST. So in this data, number 12 is repeated the most. That would mean the MODE is 12.

Good Luck!!!

-1 2/3 ÷ -2 1/5
answer this and you get 60 points pls hurry

Answers

Answer:

0.75757575757

Step-by-step explanation:

I'll give brainliest ​

Answers

Step-by-step explanation:

Given

< a = 145°

< a + < b = 180° { Being supplementary angles }

145° + < b = 180°

< b = 180° - 145°

< b = 35°

Hope it will help :)❤

Use a calculator to approximate the value of this number to three decimal places.

Answers

Answer:

28.478

Step-by-step explanation:

We randomize a sample for all the following reasons EXCEPT:

A. to generalize our results to the population

B. to ensure a representative sample

C. to ensure the sample is not too large

D. to eliminate selection bias

Answers

Answer:

C

Step-by-step explanation:

What is the constant of proportionality in the table below?

Answers

Answer:

3

Step-by-step explanation:

The constant of proportionality (or the slope) is 3.  Observe that if x increases by 2 (from 1 to 3), y increases by 6 from 3 to 9, so that m = rise/run = 6/2, or 3.

3. The constant of proportionality is how much it increases by or decreases by each time. Since the numbers in x and y are increasing by 3, that would be your answer.

Ex:
X: 1x3=3 3x3=9 9x3=27 27x3=81
As you can see every time you multiply by 3
it would equal the next number in the table. This applies for the y values as well.

A shirt originally cost $41.10, but it is on sale for $36.99. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent. A. 10% B. 90% C. 11% D. 8%

Answers

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Please help me solve this question, I don’t get it at all

Answers

Answer:

32 units

Step-by-step explanation:

∠LON = 2(∠LMN) = 2(60°) = 120°

120°/360° = 1/3

length of minor arc LN = (1/3)(96) = 32 units

HELPP I WILL GIVE BRAINLEST TO YOU IF YOU ANSWER RIGHT !!!!!

Answers

Answer:

Leg a = 2.6 mi

Leg b = 3.2 mi

No, the biologist will not hike more than 5 mi.

Step-by-step explanation:

The legs of the figure are the two shorter sides. So, the legs on this triangle are 2.6 mi and 3.2 mi long.

To find the hypotenuse, we can use this formula, with c being the length of the route the biologist will take.

a² + b² = c²

We can already plug in the values for a and b.

2.6² + 3.2² = c²

This can simplify to-

6.76 + 10.24 = c²

17 = c²

Now, find the square root of 17 and c² to find the value of c.

[tex]\sqrt{17}[/tex] = [tex]\sqrt{c^{2} }[/tex]

4.1 = c

The hypotenuse is 4.1 mi long.

4.1 > 5, so the answer is no.

Good luck ^^

Find the value of x for arc AB = 52
degrees and arc CD = 38 degrees.

Select one:
O A. 31.5 degrees
O B. 90 degrees
O C. 45 degrees
D. 30 degrees

Answers

Answer:

The answer of this question is 45°

Solve for x. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necessary.

Answers

Answer:

x= 16.6

Step-by-step explanation:

The circle is unnecessary. You can just use Pythag Theorem

so

9^2+14^2= c^2

81 + 196 = 277

square root 277

16.64

round to the nearest tenth...

16.6

Kate poses a $20 item at the store she uses a coupon to receive a 15% discount if you pay the 6% sales tax on the item how much did she pay for the item

Answers

Answer:

the answer is

18.02 dollars in total

In circle R with QRS=90 and QR= 3 units find the length of arc QS round to the nearest hundredth

Answers

Hello, I Am BrotherEye

Answer:

27.92 units

Step-by-step explanation:

Radius (qr) = r = 16 units

<QŘS = θ = 82°

Length of an arc = (Θ / 360) * 2πr

L = (θ / 360) *2πr

L = (82 / 360) * 2π * 16

L = 0.2777 * 100.53

L = 27.917 units

L = 27.92 unit

Best Of Luck

~

BrotherEye

what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon​

Answers

Answer: nonagon

Step-by-step explanation: quadrilaterals: a shape that has four sides

hexagon: a shape with 6 sides

pentagon: a shape with 5 sides

nonagon: a shape with 9 sides

So the answer is D

what is the cost of 20pens is rs 1200,what is the cost of one pen​

Answers

Answer:

rs 60

1200/20=60......

The bases in a softball diamond are located at the corners of a 3600 ft^2 square. How far is a throw from second base to home plate

Answers

Answer:

84.85 ft

Step-by-step explanation:

Given that the sides are 3600 feets

Hence, side 1 = 3600 ; side = 3600 (since it is a square)

The distance, d from second base to Home plate is the length of the diagonal, which can be obtained using Pythagoras :

d² = s1² + s2²

s1², s2² = 3600

Hence,

d = sqrt(3600 +. 3600)

d = sqrt(7200)

d = 84.85 ft

can someone pls help me answer this, step by step would be helpful but u don’t have to. ty! :)

Answers

Answer:

The area is: 4x^5 + 8x^3

Equation: (2x^3 + 4x) * 2x^2

^ = exponent

* = multiply

Step-by-step explanation:

When you try to find the rectangle of an area, the formula is:

Length * Width

In this case, the length is:

2x^3 + 4x

And the width is:

2x^2

Now let's solve the equation.

(2x^3 + 4x) * 2x^2

We need to combine like terms

2x^3 + 2x^2 = 4x^5

After evaluating the equation:

4x^5 + 8x^3

The area is: 4x^5 + 8x^3

hope this helped :)

____<9 ____ >6 which whole numbers will make both statements true

Answers

Answer:

8 and 8

Step-by-step explanation:

8 is less than 9

8 is more than 6

8 and 8, is the  whole numbers will make both statements true.

i.e. 8<9 & 8>6.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

to find the whole number which will make both statements true,

so, we get,

8 is less than 9

and,

8 is more than 6

Hence, i.e. 8<9 & 8>6.

To learn more on number click:

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solve for x
4(x+7)+98x+45+7y=567

Answers

Subtract 73  from both sides of the equation.

102x+7y=567-73

Subtract 7y from both sides of the equation.

102x=567-73-7y

Subtract 73 from 567

102x=494-7y

Divide each term by 102 and simplify

Divide each term 102x=494-7y by 102

[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]

Cancel the greatest common factor which is 102x/102

[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]

Divide x by 1[tex]x\frac{492}{102} +\frac{-7y}{102}[/tex]

Cancel the common factor is 494 and 102

Factor 2 out of 494

[tex]x\frac{2(247)}{102} +\frac{-7y}{102}[/tex]

Factor 2 out of 102

[tex]\frac{2*247}{2*51} +\frac{-7y}{102}[/tex]

Cancel the common factor which is 2

Rewrite the expression.[tex]x=\frac{247}{51} +\frac{-7y}{102}[/tex]

Move the negative in front of the fraction

[tex]\frac{247}{51} -\frac{7y}{102}[/tex]

Write a number less than 50 that has at least six factors.
List at least six factors of the number you choose.

Answers

Answer:

the number can be 12

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

Which statement best describes the function represented by the graph?
The function is increasing on the interval (-2, 0)
and decreasing on the interval (0, 0).
10
8
The function is decreasing on the interval (-0, 0)
and increasing on the interval (0.00).
6
2
The function is increasing on the interval (-0, 0).
2 4 6 8
-4-20
-2
4
The function is decreasing on the interval
(-00, 00
My Progress

Answers

Answer:

this is i-ready, right?? if so I cant provide any info

Step-by-step explanation:

my bad if it's not

i need help on this one too

Answers

Answer:

V = 235.5

or V = 18π

Step-by-step explanation:

V=πr^2h

Volume of a cylinder is (pi)(radius)(radius)(height)

V = (3.14)(3)(3)(2)

V = 56.52

Or, since it said you can leave it as pi,

V = 18π

Please let me know if you have questions.

Evaluate the expression 7×18+45÷3×2

Answers

Answer:

156

Step-by-step explanation:

7 * 18 = 126

126 +45 / 3 * 2

45 / 3 = 15  * 2 = 30

126 + 30 = 156

Answer:

156

Step-by-step explanation:

Consider the quadratic equation x^2 +7x+8=0. Which of the following is the correct form after substituting a, b, and c into the
Quadratic Formula?

Answers

Answer:

ax²+bx+c=0

Being the standard formula

Step-by-step explanation:

By direct substitution

a=1

b=7

c=8

If the quadratic equation x² +7x+8=0 then the correct form after substituting a, b, and c into the Quadratic Formula is x=-7±√7²-4(1)(8)/2(1)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is x² +7x+8=0.

The quadratic equation standard form is ax²+bx+c=0

When we compare both the equations

The value of a is 1, b is 7 and c is 8

x=-b±√b²-4ac/2a

x=-7±√7²-4(1)(8)/2(1)

=-7±√49-32/2

x=-7±√17/2

Hence, if the quadratic equation x² +7x+8=0 then the correct form after substituting a, b, and c into the Quadratic Formula is x=-7±√7²-4(1)(8)/2(1)

To learn more on Quadratic equation click:

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answers are
60m cubed
360m cubed
1130m cubed
2260m cubed

Answers

Answer:

≈ 1130 m³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 6 and h = 10 , then

V = π × 6² × 10 = π × 36 × 10 = 360π ≈ 1130 m³

Write an equation of the line below

Answers

Answer:

y = 4/5x - 2

Step-by-step explanation:

To create an equation with just a line compare two points on the graph and see how far the x and y points are on the graph then put them into a fraction with y over x then find the y intercept or find where the x coordinate equals 0 in this case it was (0, -2). Now put it all together:

y = mx + b

mx = comparison of two points

b = y intercept

Get 100 points for absolutely nothing thank me later

Answers

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you so much !

You're the best :)

Trigonometry, can anybody help??

Answers

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

please help and show the work, no links :)

Answers

So a triangle will always equal 180°, and since you already have angels Q and R, it’ll be easy to find angel P
Add Q and R together 28° + 67° = 95°
Use 180° and subtract it to 95°
180° - 95° = 85°

Your explanation can easily be “I added both Q and R together and subtracted it by 180 in order to find the angel P”

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Answers

Answer:

do a unicorn or maybe a jsut a big star or even do the big dipper its a easy constellation

Step-by-step explanation:

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