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3 years ago

Find the midpoint between two points on a number line if one of the points is at -7, and the other point is at 12.

Mathematics

2 answers:

vodomira [7]3 years ago

5 0

Step-by-step explanation:

$\frac{12 - 7}{2} = 2.5$

quester [9]3 years ago

3 0

Answer:

D. 2.5.

Step-by-step explanation:

That would be (-7 + 12) / 2

= 5/2

= 2.5.

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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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