Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

His car get 32.4 miles per gallon

8 0

3 years ago

Please help with 3. 4. 5.

Eddi Din [679]

3.
$\text{The Triangle Sum Theorem:}\\m\angle A+m\angle B+m\angle C=180^o$
$x+2x-1+3x+1=180\\6x=180\ \ \ |:6\\x=30$
$x^o=30^o\\(3x+1)^o=(3\cdot30+1)^o=91^o\\(2x-1)^o=(2\cdot30-1)^o=59^o$
4.
$r-6+3r-3+5r=180\\9r-9=180\ \ \ |+9\\9r=189\ \ \ |:9\\r=21$
$(r-6)^o=(21-6)^o=15^o\\(3r-3)^o=(3\cdot21-3)^o=60^o\\(5r)^o=(5\cdot21)^o=105^o$
5.
$\text{The Exterior Angle Theorem:}\\m\angle CAB+m\angle ABC=m\angle DCB$
$2g+9g=110\\11g=110\ \ \ |:11\\g=10$
$m\angle A=2\cdot10^o=20^o\\m\angle ACB=180^o-110^o=70^o\\m\angle B=9\cdot10^o=90^o$

4 0

3 years ago