Given: RT ≅ TV and ST ≅ TU
Prove: RSVU is a parallelogram.

Quadrilateral R S V U is shown. Diagonals are drawn from point R to point V and from point S to point U and intersect at point T. The lengths of R T and T V are congruent. The lengths of U T and T S are congruent.


Statements

Reasons
1. RT ≅ TV;
ST ≅ TU 1. given
2. ∠RTS and ∠VTU are vert. ∠s;
∠RTU and ∠VTS are vert. ∠s 2. definition of vertical angles
3. ∠RTS ≅ ∠VTU;
∠RTU ≅ ∠VTS 3. vertical angles are congruent
4. ? 4. SAS congruency theorem
5. ∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV;
∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV 5. CPCTC
6. ∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles 6. definition of alternate interior angles
7. RS ∥ UV and RU ∥ SV 7. converse of the parallelogram diagonal theorem
8. RSVU is a parallelogram 8. definition of parallelogram
What is the missing statement in step 4?

△RTS ≅ △VTU and △RTU ≅ △VTS
△RTS ≅ △RVS and △RTU ≅ △STV
△VRS ≅ △VRU and △USR ≅ △USV
△VUR ≅ △VUS and △UVS ≅ △SRU

Answer:

Step-by-step explanation:

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours

                                 = [tex]\frac{1}{3}[/tex] hours

Distance covered = 9 km

But,

speed = [tex]\frac{distance covered}{time taken}[/tex]

Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = [tex]\frac{distance covered}{speed}[/tex]

                   = [tex]\frac{210}{60}[/tex]

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

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Answer:  A= 1 b= -8 c= -20

Explanation:

I hope this helped!

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Answer:

a = 1

b = -8

c = -20

Step-by-step explanation:

Answer:

15) 30°

16) 49.46°

Step-by-step explanation:

15) sin ? = 12/24

sin ? = 0.5

? = 30°

16) cos ? = 13/20

cos ? = 0.65

? = 49.46°

Answer:

y = mx + b

Step-by-step explanation:

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

Answer:

I do not know if this is correct  but C?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Dimensions of the fence = 18 ft and 14 ft

Then x ft is increased in both dimensions ,

New dimensions of the fence = (18 + x)ft and (14 + x)ft

Therefore,

Perimeter of the fence = 2 ( l + b)

= 2 l + 2 b

= 2(18 + x) + 2(14 + x) (Ans)

Hence,

Option C is correct.

Answer:

10/6 or 5/3

Step-by-step explanation:

1/2 ---> 3/6

1/3 ---> 2/6

5/6 ---> 5/6

Add those new fractions together:

(3/6) + (2/6) + (5/6) = 10/6 or 5/3

Answer:

10/6 or 5/3

Step-by-step explanation:

Hope it help's :)

Answer:

faces = 8

edges = 12

vertices = 6

Answer:

44

Step-by-step explanation:

ieubedhjdidieuehehbebeheiduudueuehhehehe

Answer:

He had origanlly had 68 altogether

Step-by-step explanation:

Because if u count the scrateched ones which was 6 is now 62 then add the other six because there was 12 and his brother scrateched half which is basically 12 / 2 = 6 so if u add the six is 68

What Im basically saying is 56 + 12 = 68

The standard deviation of the possible outcomes of the binomial trial, given the success rate and the number of trials is 10.

The standard deviation measures the spread or dispersion of the possible outcomes around the mean and a higher standard deviation means that the possible outcomes are more spread out, while a lower standard deviation means that the possible outcomes are more closely clustered around the mean.

To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )

= ( 500 x 0. 2 x ( 1 - 0. 2))

= 100

Then, the standard deviation would be:

= √(Variance )

= √(100)

= 10

Find out more on standard deviation at https://brainly.com/question/17108678

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Step-by-step explanation:

Solution :

Given :

[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]

Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]

                                        [tex]$=\frac{294}{388}$[/tex]

                                       = 0.7577

Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]

                                        [tex]$=\frac{38}{566}$[/tex]

                                       = 0.0671

For 95 % CI, z = 1.96

The confidence interval for the population proportion,

[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]

           [tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]

[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]

= [tex]$0.6906 \pm 0.0472 $[/tex]

Lower limit : 0.6906 - 0.0472 = 0.6434

Upper limit : 0.6906 + 0.0472 = 0.7378

Answer: 0.16

Step-by-step explanation:

i dont know

Answer: B) 75 km/h (from this answer my brother told and he good at math so I hope this is Correct.)

Answer:

903.35

Step-by-step explanation:

sorry if im wrong

(hope this helps can i plz have brainlist :D hehe)

Answer:

[tex]10a - 2b[/tex]

That is the answer

Answer:

the probability is 6/7

Answer:

Step-by-step explanation:

44

Answer:

Take a ruler and measure the distance between Kalamazoo and Ann Arbor, in centimetres, or inches.

Step-by-step explanation:

I cannot tell you the ACTUAL measurement because you only posted a picture.

Answer:

[tex]\frac{28}{3}=t[/tex]

Step-by-step explanation:

[tex]\frac{4}{3}=\frac{t}{7}[/tex]

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

[tex](4)(7) = (3)(t)[/tex]

Simplify,

[tex]28=3t[/tex]

Inverse operations,

[tex]\frac{28}{3}=t[/tex]

Answer:

4.7months

Step-by-step explanation:

2.82÷0.6 = 4.7

Answer:

1.43 Metres

Step-by-step explanation:

Since 1 Metre is equal to 100 centimetres, and 65 + 78 is 143 centimetres, to convert it to METRES we need to divide 143 by a hundred, making the output become 1.43 METRES.

The sum of the lengths of the shelves are 143 cm.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, One shelf is 65cm long. Another shelf is 78cm long.

Therefore, The sum of the lengths of the two trucks would be the sum of the individual lengths of the shelf which is,

= (65 + 78) cm.

= 143 cm.

learn more about arithmetic operations here :

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