Answer:
Q1. x= 18, y=59
Q2. m∠J= 56°
Step-by-step explanation:
Q1. (3x +5)°= y° (base ∠s of isos. △)
y= 3x +5 -----(1)
(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)
3x +5 +y +4x -10= 180
7x +y -5= 180
7x +y= 180 +5
7x +y= 185 -----(2)
Substitute (1) into (2):
7x +3x +5= 185
10x= 185 -5
10x= 180
x= 180 ÷10
x= 18
Substitute x= 18 into (1):
y= 3(18) +5
y= 59
Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)
5x -13= 3x +17
5x -3x= 17 +13
2x= 30
x= 30 ÷2
x= 15
∠LKJ
= 3(15) +17
= 62°
∠KLJ= 62° (base ∠s of isos. △)
m∠J
= 180° -62° -62° (∠ sum of △JKL)
= 56°
Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.
Step-by-step explanation:
<h3>
The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>
In order to solve this problem it is important to analize the information provided in the exercise.
You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.
Then, you can identify that the Length scale factor used is:

Now you have to find the Area scale factor.
Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

Finally, evaluating, you get that this is:

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

Each of the equations can be solved as shown below:
a. 
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b. 
<em>Add like terms </em>
<em />
(<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em />
<em> (Division property of equality)</em>
<em />
c. 

d. 

<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
Learn more here:
brainly.com/question/1527981
The population 10 years later will have increased by 3,040, making the population 18,240.
Hope this helps.<span />
Answer:
Surface area is 300 in Squared
Step-by-step explanation:
2(lw + wh + hl) = rectangular Prism Formula
Length- 12
Width- 9
Height- 2
So just Substitute the values.
2( 12 x 9+ 9 x2 + 12 x 2) = ?
2(108 +18+ 24)
2 x 150
= 300