Can ΔTSR and ΔQRS be proven congruent by SAS?

A) yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property

B) yes, because a reflection will map ΔTSR onto ΔQRS

C) yes, because P appears to be the midpoint of SQ and TR

D) no, because not enough is information given to prove the triangles congruent by SAS

Answer:

Step-by-step explanation:

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[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

V = lwh

where

In equation -

[tex]\begin{gathered}\\\implies\quad \sf V = lwh\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf lwh = V \\\end{gathered} [/tex]

Since w and h are multiplying l , when they will be transposed to other side of equation, they will divide V and thus be in denominator.

[tex]\begin{gathered}\\\implies\quad \sf l = \frac{V}{wh} \\\end{gathered} [/tex]

Thus , V will be in numerator, which is our required answer.

Answer:

5.1 pieces

Step-by-step explanation:

You have to divide the measure of foot pipe by the measure of how many pieces to make. So,

1) 5 1/3 / 2/3

2) Simplify the mixed number, 5 1/3,  into an improper fraction

3) 17/5 / 2/3

4) 5.1

Answer:

(a) 0

zero property

b) 7

communative property

c) 4

Identity Property

d) 8

associative property

Answer:

2.5

Step-by-step explanation:

Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5

1: 5 x 5 = 25

2: 5 x 2 = 10

3: 25 - 10 = 15

4: 15/6 = 2.5

The weight of each triangle is 2.5

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Answer: 2.5

Step-by-step explanation:

What we know:

Both sides need to be equal, and one side already has a constant defined value.

That value is 25 (units)

How to solve:

By using a simple algebraic equation, we can find the value of a triangle's weight. X will represent a square's weight, and y will represent a triangle's weight.

Process:

Set up equation                                                 5x = 2x + 6y

Substitute                                                           5(5) = 2(5) + 6y

Simplify                                                               25 = 10 + 6y

Cancel out                                                         -10    -10

                                                                           15 = 6y

Separate variable                                              /6    /6

Solve                                                                   2.5 = y

Solution: y (triangle weight) = 2.5

You can check this by adding 2.5 6 times (15) to 5 2 times (10). This will equal 25, which would balance out the other side

Answer:

Slope= 1/6    Y-intercept= 1/3

Step-by-step explanation:

1-0=1

4-(-2)=6

Slope = 1/6

y-0= 1/6 (x-(-2))

y-0= 1/6x + 1/3

Y intercept is 1/3

given coordinates: (-2,0) (4,1)

[tex]\sf slope \ formula:\dfrac{y2-y1}{x2-x1}[/tex]

→   [tex]\dfrac{1-0}{4--2}[/tex]

→      [tex]\dfrac{1}{6}[/tex]

equation:

→  [tex]\sf y - 0 = \dfrac{1}{6} ( x- -2)[/tex]

→  [tex]\sf y = \dfrac{1}{6} x + \dfrac{1}{3}[/tex]

To find y-intercept, put x as 0.

→  [tex]\sf y = \dfrac{1}{6} x +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{6} (0) +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{3}[/tex]

Answer:

155.7 & 153

Step-by-step explanation:

the only 2 heights under 161

Answer:

161.7 and 163

Step-by-step explanation:

I do not have one sorry,

Answer:

y = 37

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

y + 29 + 40 + 2y = 180 , that is

3y + 69 = 180 ( subtract 69 from both sides )

3y = 111 ( divide both sides by 3 )

y = 37

Question

What is the quotient of 2.538 x 109 and 2.7 x 102 expressed in scientific notation?

Answer:

Step by step explanation:

2.538 x 109

2.538

109

————×

2142

0000

2538

————+

276.642

2.7 x 102

2.7

102

————×

275,4

276.642 + 275,4 =276.917,4

sorry if wrong

Answer:

Each person will get 6 and 3/4 cups of popcorn

Step-by-step explanation:

20.25 divided by 3 equals 6.75 which is 6 3/4

Answer:

[tex]Volume = \: length \times width \times hight[/tex]

[tex]10 \times 1000 = \: 40cm \times 25cm \times hight[/tex]

[tex]Hight = \frac{10000}{40cm \times 25cm} [/tex]

[tex]Hight = 10cm[/tex]

The height of the container​ is 10 cm.

Given that, 10 liters of oil is poured into a container whose cross section is a rectangle with dimensions 40 cm ×25cm.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, 1 liter = 1000 cm³

So, 10 liters = 10000 cm³

Area of the base = 40 × 25 = 1000 cm²

Volume = 1000 × Height

⇒ 1000 × Height=10000

⇒ Height=10 cm

Therefore, the height of the container​ is 10 cm.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

Answer: a

Step-by-step explanation:

Answer:

A. 3(7-3) < 6 + 21

Step-by-step explanation:

A. 3(7-3) < 6 + 21

21-9 < 27

12 < 27

True

B. ??

C. 3(7-3) = 6 + 21

21 - 9 = 27

12 = 27

False

D. 3(7-3) < 6 + 21

21-9 > 27

12 > 27

False

Therefore, the correct answer is A

Hope this helps!

Answer:

r=1.27m

Step-by-step explanation:

volume of sphere = 8.6 cubic metre

[tex]4 \div 3\pi \: r ^{3} = 8.6[/tex]

[tex]4 \div 3 \times 3.14 \times r ^{3} = 8.6[/tex]

[tex] {r}^{3} = 8.6 \times 3 \div 12.56[/tex]

[tex] {r}^{3} = 25.8 \div 12.56[/tex]

[tex]r \: = \sqrt[3]{2.054} [/tex]

[tex]r \: = 1.27m[/tex]

Answer:

5

Step-by-step explanation:

srry if im wrong

Answer: 134

Step-by-step explanation:

your answer for this question is y=c hope this helps

Answer:

5/18

Step-by-step explanation:

Irresponsible and 0 siblings (5) over total (18)

5/18 doesn't simplify

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Answer:

11.25

Step-by-step explanation:

I hope you have a good day

Changing from Two-sigma limits to three-sigma limits helps to reduce the probability that defects will be generated by the process. Hence the correct answer is C.

This is used to refer to the inclusion of about ninety-five percent of data plotted on the normal distribution curve.

Three sigma-limit on the other hand is a statistical calculation where data fall within three standard deviations from a mean.

If in a manufacturing firm, the quality control unit issues out a polity to reject products that are within two standard deviations to their accepted mean, then more errors will be captured thus resulting in a lot of loss or defective products.

Learn more about Two-Sigma Limits at:

https://brainly.com/question/15581863

Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

Answer:

6 7/8

Step-by-step explanation:

Answer:

Hi I'm always here to help!!

______________________

(42 − (18 ÷ 9)) × (4 ÷ 2)

(16 – 2) × 2

14 × 2

28

______________________

Have a great day!!!

Answer:

(5, - 3 )

Step-by-step explanation:

the opposite to translation rule (- 5, 3 ) is

(5, - 3 ) ← the negative of each of the coordinate points

The relationship between the running speed versus time​ can be positive, negative or none at all.

The question is incomplete, as the graph or table that measures the running speed versus time to complete a marathon​ is not given.

As a general rule, we have the following parameters:

Read more about correlation at:

https://brainly.com/question/4219149

Answer:

b.8

Step-by-step explanation:

6x+2+40+90=180

6x+132=180

6x=180-132

6x=48

x=48/6

x=8

Answer:

ø=14.48⁰ and. y=75.52⁰

Explanation:

angle thetha = 14.48⁰

sinø=opposite/hypotenuse

sinø=12/48

ø=sin¹(12/48)

ø=14.48

y=180⁰-(14.48⁰+90⁰)

y=75.52⁰

sum of angles in a triangle = 180⁰