Answer:
Each friend ate 4 tacos.
Step-by-step explanation:
"4 of his friends ate s tacos" is unclear. I assume it should be
"4 of his friends ate s tacos each."
total tacos = 2 + 4s = 18
4s = 16
s = 4
His four friends ate a total of 16 tacos, each friend eating 4 tacos.
Ricky's reason, i.e., that 6s = 18, is incorrect.
6s = 4s+2s, where 4s is what his friends ate in total.
That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.
Answer:
Step-by-step explanation:
22*5.5%=1.21 tax
22.00+1.21= $23.21
Answer:
∠MEJ=25°
Step-by-step explanation:
step 1
Find the value of x
we know that
arc LJ+arc KM+arc KL+arc MJ=360° ----> complete circle
substitute the values
(4x+50)°+6x°+(x+10)°+4x°=360°
solve for x
(15x+60)°=360°
x=300°/15=20°
step 2
Find the measure of angle MEJ
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
∠MEJ=(1/2)[arc MJ-arc KL]
arc MJ=4(20°)=80°
arc KL=20°+10°=30°
substitute the values
∠MEJ=(1/2)[80°-30°]=25°
Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.