Answer:
61°
Step-by-step explanation:
In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16
with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°
since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)
thus, angle P= 61
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
The highest exponent is 3, so the degree is 3
There are three terms so it is a trinomial.
Answer:
depth of swimming pool = 2.4 meters
Step-by-step explanation:
Volume of the swimming pool = l x b x h = 3000
Volume of the swimming pool = 50 x 25 x h = 3000
h = 2.4 meters
Answer:
-4
Step-by-step explanation:
