Answer:
3rd Option;
x = 4
y = 116
Step-by-step explanation:
Let's start by solving for "x" first:
=> We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:
Side 1 = It's opposite side
=> 16 = 3x + 4
=> 16 - 4 = 3x
=> 12 = 3x
=> 12/3 = x
=> <u>4 = x</u>
Now that we know x, let's find the y-value;
=> We know that opposite angles in a parallelogram are congruent, therefore we can say;
Angle 1 = It's opposite angle
=> 56 = y - 60
=> 56 + 60 = y
=> <u>116 = y</u>
Hope this helps!
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° = 
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.
Answer:
72
Step-by-step explanation:
Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So.... the labels are for the equation.
365m = 52x.
Since the grandson is 12w months old,
12w = months.
Since the grandson, son and the person together are 120 years,
m + x + months = 120.
these are the labels (m, x, and month)
month = 624 x 120 / 1041 = 72.
So, I am basically 72 years old.
hope this helped :D
this is truly very hard.
Answer:
D
Step-by-step explanation:
The fruit punch has 2.4 gallons but x %
Apple juice has 5.6 gallons but 100 % or 1
The total mixture would then have 8 gallons and 82 %.
2.4+5.6=8
8×0.82 = 6.56
Then you would do 2.4x + 5.6(1) = 6.56
2.4x + 5.6 = 6.56
2.4x = 0.96
0.96/2.4 = 0.4 = 40%
Therefore, Brand A has 40% fruit juice
Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
