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Alenkasestr [34]

3 years ago

15

On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses th

e y-axis at (0, 2) and the x-axis at (2, 0).
What is the range of the function on the graph?

1 answer:

mixer [17]3 years ago

3 0

Answer:

b

Step-by-step explanation:

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

natta225 [31]

we know that

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

so

Step $1$

<u>Find the measure of the arc AJ</u>

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 $2$

<u>Find the measure of the arc FH</u>

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

<u>the answer is</u>

the measure of the arc FH is $48\°$

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