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spayn [35]
4 years ago
8

Determine the missing information in the paragraph proof. Given: Lines a and c intersect at point S, creating 4 angles. Prove: C

orresponding angles are congruent. Lines a and c intersect at point S. Line c is diagonal and also contains points R, Q, P. Line a is horizontal and also contains points U, T. We are given that lines a and c intersect at point S. Translate line a down line c until point S reaches point Q. Call the new line through Q line b. Because translations preserve orientation, lines a and b are ________. Because translations preserve angle measure, ∠RSU ≅ ∠RQU'. For the same reason, ∠RST ≅ ∠RQT', ∠PSU ≅ ∠PQU', and ∠PST ≅ ∠PQT'. Each of the angle pairs are corresponding angles. Therefore, corresponding angles are congruent. parallel perpendicular congruent reflected
Mathematics
2 answers:
Alenkasestr [34]4 years ago
9 0

Answer:

©The answer is Parallel

Step-by-step explanation:

iren [92.7K]4 years ago
6 0

Answer:

Parallel

Step-by-step explanation:

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Find the volume of the sphere. express your answer in term of Pie​
IceJOKER [234]

Answer:

\large\boxed{36\pi}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have R = 3 ?. Substitute

V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi

If the radius is 30, then the volume is:

V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi

3 0
3 years ago
If the volume of a cylinder is 90 inches and what is the volume of a cone?
anzhelika [568]

Answer:

  • The ans is D)1/3 in my point of view...
3 0
3 years ago
Find the general term of the sequence<br>c.1 { 10, 5, 0, -5, -10 }<br>c.2 { 1, 4, 9, 16, 25 }​
Ivan

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

5 0
3 years ago
Measuring segments for geometry, help please!:(
Airida [17]

Answer:

Y= 3

Step-by-step explanation:

RS=ST

9y+3=3y+5

5 0
2 years ago
A shipping container will be used to transport several 140-kilogram crates across the
velikii [3]

Answer:

91.42 crates

Step-by-step explanation:

Let

Greatest Number of 140kg crates = x

weight of crate = 140-kilogram

Weight of other shipment = 13200 kilograms

greatest weight of container = 26000 kilograms

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

13,200 + 140x ≤ 26,000

140x ≤ 26,000 - 13,200

140x ≤ 12,800

x ≤ 12,800/140

x ≤ 91.42 kilograms

Greatest Number of 140kg crates = 91.42 crates

8 0
3 years ago
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