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1 year ago

A rectangle has vertices at (0, 0), (3, 0), and (0,6). What is the area of the rectangle?

Mathematics

1 answer:

Alexxandr [17]1 year ago

7 0

First, set the coordinate points on a graph, and joint them to form a graph

By looking at the graph we can see that:

width : 3

length: 6

Area of a rectangle : Length x width : 6 x 3 = 18

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3 years ago

In circle C, what is mFH? 31° 48° 112° 121°

natta225 [31]

we know that

The measurement of the external angle is the semi-difference of the arcs it comprises.

Step $1$

Find the measure of the arc AJ

m∠BDE= $\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ BE]$

in this problem we have

m∠BDE= $37\°$

$measure\ arc\ BE=38\°$

substitute in the formula

$37\°$ = $\frac{1}{2} *[measure\ arc\ AJ-38\°]$

$74\°$ = $[measure\ arc\ AJ-38\°]$

$measure\ arc\ AJ=74\°+38\°=112\°$

Step $2$

Find the measure of the arc FH

m∠FGH= $\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ FH]$

in this problem we have

m∠FGH= $32\°$

$measure\ arc\ AJ=112\°$

substitute in the formula

$32\°$ = $\frac{1}{2} *[112\°-measure\ arc\ FH]$

$64\°$ = $[112\°-measure\ arc\ FH]$

$measure\ arc\ FH=112\°-64\°=48\°$

therefore

the answer is

the measure of the arc FH is $48\°$

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