x° = 14°, y° = 14°; Use vertical and supplementary angles.
Step-by-step explanation:
The image of the answer is attached below.
In the given image two lines are parallel with transversal.
(9x + 12)° and ∠1 are vertically opposite angles.
Vertically opposite angles are equal.
∠1 = (9x + 12)°
Consecutive interior angles are supplementary.
(9x + 12)° + 3x° = 180°
⇒ 12x° = 168°
⇒ x° = 14°
Sum of the adjacent angles in a line are supplementary.
3x° + (4y – 10)° = 180°
⇒ 3(14)° + 4y° – 10° = 180°
⇒ 4y° = 148°
⇒ y° = 14°
Hence, x° = 14°, y° = 14°; Use vertical and supplementary angles.
The number of full time employees is 17 and the number of part time employee is 9
Step-by-step explanation:
Step 1 :
Let f represent the number of full time employee and p represent the number of part time employee
Total number of employees = 26
Hence we have f + p = 26
Step 2 :
Wages of full time employee = $275
Wages of part time employee = $140
Total wages paid by Jeds = $ 5935
Hence we have 275 f + 140 p = 5935
Step 3:
Solving the equations obtained in step 1 and step 2 we have
f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150
275 f + 140 p = 5935
Subtracting equation 2 from 1 we have
135 p = 1215 => p = 9
Substituting this in f + p = 26 gives, f + 9 = 26
So f = 17
Step 4 :
Answer :
The number of full time employees is 17 and the number of part time employee is 9
Answer:
Explained
Step-by-step explanation:
the volume of the planter needs to be 36 cubic feet
height can be 3 feet and not more
therefore are the product of its length and breadth = 36/3 = 12 ft
l×b= 12
there land be can be any two multiples of 12
1 and 12, 3 and 4 , 6 and 2 are possible values of length and breath.
The tank is leaking at the rate of 6 gallons per hour.
If you do nothing but sit there and watch it all afternoon,
here's what you'll see:
First hour . . . . 6 gallons leaks out
Second hour . another 6 gallons leaks out
Third hour . . . another 6 gallons leaks out
Total gone after 3 hours: (6 + 6 + 6) = 18 gallons .
16 dimes = $1.60
<em>12 quarters</em><em> </em>= $3.00
