Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
Part 1) <span>Create a diagram that shows Kamila’s rectangular lawn and the gravel border. Assign variables to any unknown sides and label the diagram
see the attached figure
Part 2)</span><span>Use your diagram to determine how many square feet of the gravel border will surround the lawn
area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft</span>²
Part 3) <span>Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?
we know that
1 ft-------> 12 in
x--------> 2 in
x=2/12------> x=0.17 ft
volume of gravel needed=area of the border*deep of the gravel
</span>volume of gravel needed=2904*0.17----> 493.68 ft³
<span>
Part 4)</span><span>A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?
</span>
1 yd³--------> 27 ft³
x---------> 493.68 ft³
x=493.68/27-----> 18.28 yd³
if 1 yd³----------> cost $30
18.28 yd³------> x
x=18.28*30------> x=$548.53
the answer Part 4) is $548.53
The required value of x is 36
Step-by-step explanation :
Let the required number be x.
Three fourth of number = (3/4)x
One third of number = (1/3) x
According to the question ;
3x/4 = x/3 + 15
→ 3x/4-x/3 = 15
→ 9x - 4x / 12 = 15
→ 5x = 15 x 12
⇒ x = 180 / 5
⇒ x = 36
<h2>Hope this answer helps you..!!!</h2>
Answer:
12
Step-by-step explanation: