((HELP ME PLEASEEEE))

For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.

((HELP ME PLEASEEEE))For #2-7, Decide If The Triangles In Each Pair Are Similar. If They Are Similar,
((HELP ME PLEASEEEE))For #2-7, Decide If The Triangles In Each Pair Are Similar. If They Are Similar,

Answers

Answer 1

Answer:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal

3. ΔCBA ~ ΔHGF

4. ΔVUT ~ ΔVML

5. ΔTUV ~ ΔJKL

6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal

Step-by-step explanation:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;

36/43, 16/39, and 16/40

We have;

[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]

∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal

3. The interior angles of ΔCBA are;

∠A = 33°, ∠B = 88°, and ∠C = 59°

The interior angles of ΔHFG are;

∠H = 33°, ∠F = 59°, and ∠G = 88°

∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate

4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given

The measure of angle ∠MVL = ∠TVU by reflexive property

Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate

5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL

Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate

6. In triangles ΔSTU and ΔSCB, we have;

The ∠TSU = ∠TSU by reflexive property

However, ∠SUT ≠ ∠SNC ≠ ∠STU

Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle

[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]

From which we get;

[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]

∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;

[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]

KM = KC + CM = 25 + 107 = 132

[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]

Therefore;

[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]

The ratio of the sides of triangles, ΔKLM and ΔKBC are;

Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal


Related Questions

Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y-3 = -2/9(x+1)

Step-by-step explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)

Combining functions: Consider functions f and g.

Answers

Answer:

option C

Step-by-step explanation:

f(x)=3(0.75)x exponential growth or exponential decay​

Answers

Answer:Exponential Decay


Explanation: It’s less than 1

Identify each expression with a sum of x2 + 3x +1.

Answers

Answer:

There are no like terms.

Step-by-step explanation:


6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)

Answers

Answer:

You would do the change in y over the change in x.  

That means you subtract your y values and that's the numerator.  Subtract your x values and that is your denominator.  Then simplify.

(4 - 4)

______

(-2 - 2)

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

4 is the y-intercept. The slope is 0

Help? Solve the system of equations.

y = 3x
y = x2 + 3x – 16
solutions: ( );( )

Answers

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.

Answers

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

What combination of bracelets does dimitri have?

Answers

7 simple and 3 deluxe bracelet

25 + 8 (7y - 3) + 3y

Answers

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

Given JKL: XYZ, find x.

Answers

Answer:

is there a pic to go along? i need more to this..

the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:

[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

Solve for x.
3x + 7
2x + 3)

Answers

Answer: x = 34

Step-by-step explanation:

2x+3+3x+7=180

5x+10=180

5x=170

x = 34

x=34 your welcome !!!

Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4

Answers

Answer:

mee.com/pbj-kbyh-bzm

join it fast

Determine the equation of the circle graphed below.

Answers

Answer:

[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]

Step-by-step explanation:

The equation of a circle with radius r and center (h, k) is:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This circle has center (-7, -4) and radius 2.

The equation is:

[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]

A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm². What is the perimeter of one square

Answers

Answer:

4cm

Step-by-step explanation:

first find the length of the side of one square

the length of the rectangle will be twice the width

let y represent the width

area of a rectangle=length x width

2cm²=2yxy

2cm²=2y²

2cm²/2=2y²/2

1cm²=y²

1√cm²=√y²

1cm=y

perimeter of a square=4xside

4x1cm

4cm

A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.

A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.

Answers

Answer:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

Step-by-step explanation:

A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.

When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

(Find m∠IGH) m∠IGH =

Answers

Answer:

∠IGH = 50°

Hope this helps! :)

Thang decided to borrow ​$90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40​%. How much interest will Thang​ pay?

Answers

Answer:

Step-by-step explanation:

P = 90

r = 40% = 40/100 = 0.4

t = 3 years

It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.

I will take it as 40% for each year for 3 years.

i = prt = 90 * 0.4 * 3

i = 108

If f(x)=2x2+3x−6, determine the value of f(2)

Answers

Answer: 4

2x2+3(2)−6

lets make sure we do OOO (order of operations correctly)

2x2+3(2)−6

4+3(2)−6

4+6−6

10−6

4

Step-by-step explanation:

Complete parallel side 2
Height = 8mm
parallel side 1= 5mm
parallel side 2=?
Area = 72 mm

Answers

Step-by-step explanation:

Assume length of side 2 = L

Area of parallelogram is Height x L

So, 72 = 8 x L

L = 9

Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.

Answers

If p is the price of a bag of popcorn and d is the price of a drink
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75

Popcorn was $5.75 a bag and drinks were $2.25 each

HURRY !!!!!! Which describes the correlation shown in the scatterplot?

Answers

No correlation is shown.

What is the following values of:

XZ:

XY:

Answers

it’s 5 square root 2 and 5

To get 400 as quotient, what number is to be divided by 16?

400+16
400 -16
400÷16
400× 16

Answers

Answer:

400×16

Step-by-step explanation:

let the number be n.

[tex] \frac{n}{16 } = 400 \\ 16 \times \frac{n}{16} = 400 \times 16\\ n = 400 \times 16[/tex]

Can someone help me with this now !

Answers

Answer:

its either B or D.

Step-by-step explanation:

could you mark me brainliest pls or even hit the thanks button

I need help very quickly, please!!​

Answers

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=[tex]\frac{x}{15}[/tex]

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=[tex]\frac{x}{15}[/tex]

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)

Help plz this is really hard for me

Answers

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Answer:

39/30

Step-by-step explanation:

Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??

Answers

Answer:

45kg

Step-by-step explanation:

60.3/4=45

Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.

Answers

1. 20010000
2. 0.0819
3. 137000
4. 0.00060041

Answer:

35010

.08190

- 137000

- .00060041

Step-by-step explanation:

positive exponents add zeros to end and move decimal place to right the amount of the exponent.

negative exponents add zeros to begininng and move decimal to the left.

Other Questions
6d A boy pushes his little brother on a sled. The sled accelerates from rest to (4 m/s). If the combines of his brother and the sled is (40.0 kg) and (20 W) of power is developed, how long time does the boy push the sled? Estimate the measure of the following angles Which of the following is apart of the new media Parallel LinesPLEASE HELP I NEED ASAP! umay oh ito para sa mga taong di makuha si CRUSHSi Crush Parang MATH PROBLEM kung hindi mo MAKUHA TITIGAN MO NLNGImaginin moYung Crush mo,Crush ka dinYung Mahal mo,Mahal ka dinAnong Ending??IMAGINATION lng din!!owshiiiiii mic drop play musiclintik na pag-ibig parang kidlat puso kong nanahimik at bigla mong ginulat You are responding to a friend when he or she asks you come estas you respond muy bien gracias y What did Hamilton's financial plan call for?Select all correct answers.O securing loyalty to the federal governmentO creating a national banko addressing the national debtO securing states' rights A cylindrical water tower has a volume of10007 ft.If the tower is 10 ft tall, what is the radius of the tower? help me please this is my homework :p Whats the function of liver in digestive system? Suggest why most plants die very quickly if their roots are cut off a glucose molocule is the 30% of a number is x. What is 100% of the number? Assume x>0.100% of the number is What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters. the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle In June, one of the processing departments at Furbush Corporation had ending work in process inventory of $12,000. During the month, $404,000 of costs were added to production and the cost of units transferred out from the department was $426,000. In the departments cost reconciliation report for June, the total cost accounted for would be:_________ a) $842,000 b) $46,000 c) $876,000 d) $438,000 The given equation has been solved in the table.StepStatement1fr 9 = -13RO2231et 9 + 9 = -13+ 9233 = -43 233 .(-4)2.3256in which step was the addition property of equality applied? Whats the perimeter types of molecular forces When building a math test, the teacher creates two difficult problems for every five easy problems. If the teacher is creating a test with 56 questions on it, how many questions will be difficult?