Answer:
Issac worked 24.4 hrs, Ruby worked 31.4 hrs, and George worked 94.2 hours
Step-by-step explanation:
x= hours worked
Issac= x Ruby= (x+7) George= 3(x+7)
x+(x+7)+3(x+7) = 150 [distribute 3 to (x+7)]
x+(x+7)+(3x+21) = 150 [add from left to right]
5x+28 = 150 [subtract 28 from both sides]
5x = 122 [divide both sides by 5]
x=24.4
Now plug the x value back into Issac, Ruby, and George's equations:
Issac=x=24.4
Ruby=x+7=31.4
George=3(x+7)=94.2
Double check by adding all their work hours together
24.4+31.4+94.2=150!!
Answer:
5:4
Step-by-step explanation:
separate katherine into consonants:
kthrn
and vowels:
aeie
there are 5 consonants and 4 vowels, so the ratio is 5:4.
5. You know angles LOY and ROY are congruent, and side OY is incident to both triangles LOY and ROY, which is of course congruent to itself. Triangles LOY and ROY will be congruent if sides OL and OR are also congruent.
6. Similar situation as in (5). MD is incident to both triangles MAD and DEM and is congruent to itself. Angles AMD and EDM are congruent. To use the AAS postulate, you need to know that angles MAD (or just A) and DEM (or just E) are congruent.
Answer:
B) 116°
Step-by-step explanation:
y=180-54-64=62
x=180-62-64=54
62+54=116