Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Answer: $72
Step-by-step explanation:
Simple interest (I) is calculated as Principal × Rate × Time.
From the question, Principal = $800
Rate =3% = 3/100= 0.03
Time =3 years
Slot in the values into the formula;
I = 800 x 0.03 x 3
I= $72
I hope this is clear
Assuming that you want to add or subtract them and want the bottom number the same,
1/4 and 2/3
least common multiple of 4 and 3
4=2 times 2
3=3 times 1
so the leas common mulltiple will include all of them
the number is 2 times 2 times 3 or 12
lcm=12
1/4 times 3/3=3/12
2/3 times 4/4=8/12
add or subtract 3 and 8
LCM=12
Answer:
72:48
Step-by-step explanation:
as you divide 120 by 5 as 3+2=5 and that equals 24
24x3=72
24x2=48