Mathematics: Geometry angles problem

Geometry angles problem - id5384521, jayjat97

cxttiemsp021

20.01.2022

$m\angle ABC=32^o$

Step-by-step explanation:

we know that

Two angles are supplementary when their sum is equal to 180 degrees

we have

$m\angle ABC+(18x+22)^o=180^o$

$m\angle ABC=(180-22-18x)^o$

$m\angle ABC=(158-18x)^o$ -----> equation A

Two angles are complementary when their sum is equal to 90 degrees

we have

$m\angle ABC+(9x-5)^o=90^o$

$m\angle ABC=(90+5-9x)^o$

$m\angle ABC=(95-9x)^o$ -----> equation B

equate equation A and equation B

(158-18x)^o=(95-9x)^o

solve for x

$18x-9x=158-95\\9x=63\\x=7$

Find the measure of angle ABC

substitute the value of x in equation A or equation B

$m\angle ABC=(95-9(7))=32^o$

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Derrick253

29.04.2022

V = 108,000,000pi or V = 339292007mm

Step-by-step explanation:

V = pi × r^2 × h

To find radius with circumference:

Radius = Circumference / 2pi

So, 1884/2pi = 299.847913 = 300

V = pi × 300^2 × 1200

V = pi × 90000 × 1200

V = pi × 108000000

V = 108,000,000pi or V = 339292007

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