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3 years ago

Find the length of RA. A. 42 B. 84 C. 14 D. 7

Mathematics

2 answers:

uranmaximum [27]3 years ago

8 0

Answer:

B) 84

Step-by-step explanation:

ΔLRU ≅ ΔLAU {SAS congruent}

Therefore, UA = UR {CPCT}

6m = 3m +21

Subtract 3m from both sides

6m - 3m = 3m + 21 -3m

3m = 21

Divide both sides by 3

3m/3 = 21/3

m = 7

RA = RU + UA

= 3m + 21 + 6m {add like terms}

= 9m + 21 {Plug in m =7}

= 9*7 + 21

= 63 + 21

RA = 84 units

fiasKO [112]3 years ago

3 0

Answer:

$\large \boxed{\mathrm{B. \ 84}}$

Step-by-step explanation:

$LU$ bisects $RU$ and $UA$ .

$RU=UA$

$3m+21=6m$

Solve for m.

Subtract 3m from both sides.

$21=3m$

Divide both sides by 3.

$7=m$

Calculate $RA$ .

$RA=3m+21+6m$

$RA=9m+21$

Put m = 7.

$RA=9(7)+21$

$RA=63+21$

$RA=84$

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