Answer:
x/2-9=24
Explanation:
Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24
So x/2-9=24
To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66
Answer:
4(5 - 7x) = 6 - 12
20-28x=6-12x
Subtract 20 from both sides
20-28x-20=6-12x-20
Simplify
-28x=-12x-14
Add 12x to both sides
-28+12x=-12x=-12x-14+12x
Simplify
-16x=-14
Divide both sides by -16
-16/-16 = -14/-16
Anw
7/8= 0.875
Given: The information provided in the table shown
To Determine: From the options provided, the correct option that best describe the information given in the table
Solution
Given that 28% of the children used toothpaste. From the table
Let us calculate the percentage of adult that used toothpaste
Hence, a smaller percentage of adults (about 11%) use the toothpaste.
The correct option is OPTION C
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
