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Answer:

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As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

learn more about congruency here :

https://brainly.com/question/7888063

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Answer:

Toilet rolls come in packs of 4 and 9.

The 4-pack is priced at £2.04.

The 9-pack is priced at £4.68.

By calculating the price per roll, determine which pack is better value. Show your working.

1.  139

2.  41

3.  139

4.  139

5.  41

6.  139

7.  41

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

2x = 3,200

x = 1,600

Now the sale price would be

= 1,600 × 1.25

= 2,000

Answer:

Width is 15, length is 25

Step-by-step explanation:

80=2(X+(X+10)

40=2x+10

30=2x

x=15

Width is 15, length is 25

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

Answer:

B by Pythagorean theorem

Step-by-step explanation:

20² = 12² + 16²

Answer:

 y = 5x - 7

Step-by-step explanation:

(3 , 8) ; slope(m) = 5

Equation of the line: y - y₁ = m( x- x₁)

y - 8 = 5(x - 3)

y -8 = 5x - 5*3

y-8 = 5x - 15

   y = 5x - 15 +8

  y = 5x - 7

Answer:

9

Step-by-step explanation:

18 / 2 = 9

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

Recall that

tan²(x) + 1 = sec²(x)

for all x ≠ (2n + 1) 90°, where n is any integer. (That is, whenever x isn't an angle that is an odd multiple of 90°.)

Then

tan²(Φ) + sec²(Φ) = 3

tan²(Φ) + (tan²(Φ) + 1) = 3

2 tan²(Φ) + 1 = 3

2 tan²(Φ) = 2

tan²(Φ) = 1

tan(Φ) = ±√1

tan(Φ) = 1   or   tan(Φ) = -1

Φ = tan⁻¹(1) + n 180°   or   Φ = tan⁻¹(-1) + n 180°

Φ = 45° + n 180°   or   Φ = -45° + n 180°

The first family of solution is the set of angles

{…, -315°, -135°, 45°, 225°, 405°, …}

and the second family is the set

{…, -405°, -225°, -45°, 135°, 315°, …}

(showing the solutions for n = -2 to n = 2)

You can condense the solution set into one family by noticing each angle is 45° plus some multiple of 90°, so that

Φ = 45° + n 90°

If you're looking for solutions in a given range, such as 0 ≤ Φ < 360°, then

Φ = 45°, 135°, 225° or 315°

This question is incomplete, the complete question is;

Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x  = 69.5.

Round your answer to two decimal places.

Answer: the z-score is -0.80

Step-by-step explanation:

Given that;

mean μ = 73.4

standard deviation σ = 4.9

x = 69.5

z-score = ?

z = (x - μ) / σ

we substitute

z =  (69.5 - 73.4) / 4.9

z = -3.9 / 4.9

z = - 0.7959 ≈ -0.80    { 2 decimal places }

Therefore, the z-score is -0.80

A is the smallest

Can I have brainleist?

Answer:

30% of the swimmers won a ribbion

and 70% didnt

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-7

3y+1-7

3y-6

Answer:

Where is the problem to solve?

Step-by-step explanation:

The solution of the system is (-2,2)

Step-by-step explanation:

a solution is a system of equations intersecting.

on the graph you can see that the lines intersect at (-2,2)

Answer:

wdym get rid of the "stupld"

Step-by-step explanation:

Answer:

Study, ask teachers questions, email, use this app, etc.

Step-by-step explanation:

If you study for a test/exam. Look over the study guide and recite it for 20 minutes and take a 10 minute break. Then pretend you're explaining the subject to someone for 20 minutes and take a 10 minute break. Then go over the study guide again and see if you missed anything while explaining and then explain it again but this time with the things you missed. Repeat if necessary. Flashcards on quizlet n stuff can help too.

Answer:

Step-by-step explanation:

[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]

Hey there!

“Solve 2x – 5 = 7”

FIRST: ADD both SIDES by 5

2x – 5 + 5 = 7 + 5

CANCEL out: –5 + 5 because it gives you 0

KEEP: 7 + 5 because it helps us solve for x

7 + 5 = 12

NEW EQUATION: 2x = 12

SECOND: DIVIDE both sides by 2

2x / 2 = 12 / 2

CANCEL out 2 / 2 because that gives you 1

KEEP: 12 / 2 because it gives you the value of x

NEW EQUATION; x = 12 / 2

SOLVE ABOVE and you have your answer

12 / 2 = 6

Therefore, x = 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

Answer:

brainly: this looks like a question for a calculator.

Step-by-step explanation:

Answer:

30.46

Step-by-step explanation:

Answer:

the sum of interior triangle is 180

so,

92+33+X=180

125x=180

X=180-125

=55

Answer:

10

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

I need help on this too

Answer:

first one

Step-by-step explanation:

do i really need an explanation like come on

Answer:

Step-by-step explanation:

the amount of mark up is

13*(40/100)=5.20

Answer:

OQ = 12

Step-by-step explanation:

PQ + OP = OQ

x + 7 + 4x - 10 = 4x

5x - 3 = 4x

x = 3

OQ = 4x = 4(3) = 12

Answer:

Which of the following expressions represents five less than three times the number M

where are option ?

Answer:

3M-5

Step-by-step explanation:

You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.