contestada

Find the value of the variable and GH if H is between G and I. GI = 5b + 2, HI = 4b – 5, HI = 3

answer options:
b = 0.20, GH = –1.20
b = 0.67, GH = 5.33
b = 2, GH = 9
b = 2, GH = 12

Respuesta :

calculista

Answer:

b = 2, GH = 9

Step-by-step explanation:

In this problem we have that

[tex]GI=GH+HI[/tex]

Solve for GH

[tex]GH=GI-HI[/tex] -----> equation A

we have

[tex]GI=5b+2[/tex] -----> equation B

[tex]HI=4b-5[/tex] ------> equation C

[tex]HI=3[/tex] -----> equation D

step 1

Substitute equation D in equation C and solve for b

[tex]3=4b-5[/tex]

[tex]4b=3+5[/tex]

[tex]4b=8[/tex]

[tex]b=2[/tex]

step 2

Find the value of GH

substitute equation B and equation D in equation A

[tex]GH=(5b+2)-3[/tex]

[tex]GH=5b-1[/tex]

substitute the value of b

[tex]GH=5(2)-1=9[/tex]

allicat21

Answer:

b = 2, GH = 9

Step-by-step explanation:

Otras preguntas