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Liono4ka [1.6K]

3 years ago

12

Write a two-column proof. Given: <2 is congruent to <5; Segment AB is congruent to Segment DE Prove: Segment BC is congrue

nt to Segment EC

1 answer:

kotykmax [81]3 years ago

5 0

Answer:

proof

Step-by-step explanation:

Statements

Reasons

<2 is congruent to <5; Segment AB is congruent to Segment DE

Given

<3≅<4

Vertical angle theorem

ΔCDB≅ΔCAE

AAS

Segment BC is congruent to Segment EC

CPCTC

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yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h

algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0

2 years ago

Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball

dem82 [27]

Answer: Aproximately 2,525 balloons

Step-by-step explanation:

1. Find the volume of a balloon with the formula given in the problem, where $r$ is the radius ( $r=\frac{0.3m}{2}=0.15m$ ), then:

$V=4(0.15m)^{3}=0.0135m^{3}$

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

$V=0.0135m^{3}*1000=13.5L$

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

$(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs$

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

$\frac{75lb*1L}{0.0022lb}=34,090.90L$

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call $n$ ), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

$n=\frac{34,090.90L}{13.5L}$

$n=2,525.25$ ≈2,525 balloons.

5 0

3 years ago

What is 5 2/5 subtract 2 1/15?

STatiana [176]

5 2/5 would be converted to 5 6/15. you would then subtract the numerators and the whole numbers, giving you 3 5/15, which simplifies to 3 1/5

7 0

2 years ago

Read 2 more answers

The can is 12 cm high and the diameter is 8 cm.

Lina20 [59]

V= 3 x 4^2 x 12

v= 576cm^3

8 0

2 years ago

Does the line 3y + x = 5 pass through the point (2, 7)?

Lubov Fominskaja [6]

Well just plug the two points in... y=7 x=2

3(7) + 2= 5
is that true or not?

3(7)
21
21+2= 23

23 is not equal to 5... so no it does not pass through the point (2,7)

5 0

2 years ago