lines bc and ed are parallel. they are intersected by transversal ae, in which point b lies between points and e. they are also intersected by transversal ec. angle abc measures 70 degrees. angle ced measures 30 degrees.

given: line bc is parallel to line ed
m∠abc = 70°
m∠ced = 30°

prove: m∠bec = 40°

statement justification
line bc is parallel to line ed given
m∠abc = 70° given
m∠ced = 30° given
m∠abc = m∠bed corresponding angles theorem
m∠bec + m∠ced = m∠bed angle addition postulate

m∠bec = 40° subtraction property of equality

which of the following accurately completes the missing statement and justification of the two-column proof?
m∠bec + 30° =70°; substitution property of equality
m∠bec + 30° = 70°; addition property of equality
m∠bec + 40° = 70°; substitution property of equality
m∠bec + 40° = 70°; addition property of equality

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Ответ:

aahneise02

02.02.2021

Mathematics

Step-by-step explanation:

Given,

Radius = 3 cm

Height= 5 cm

Find ,

Surface area of cylinder, Volume of cylinder.

Solution -

Surface area of cylinder = $2\pi r(r+h)$

putting the values ,

= $2*\pi *3(3+5)$

= $150.72 cm^{2}$

Surface area of cylinder is $150.72 cm^{2}$ .

Volume of cylinder $=\pi r^{2} h$

putting the values,

$=\pi *3^{2} *5$

= $141.3 cm^{3}$

Volume of Cylinder is $141.3 cm^{3}$ .

b) The second idea of tripling the height to 15 inches will give more volume than idea (i) as the volume is directly proportional to height

solution-

Height= 15 inches = 15*2.5= 37.5 cm

radius = 3 cm

Going by the formula,

Volume of cylinder $=\pi r^{2} h$

now put the values,

$=\pi *3^{2} *37.5$

gives

$=1060.2cm^{3}$

Volume of cylinder is $=1060.2cm^{3}$ .

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