Answer:
54
Step-by-step explanation:
The sum of given angles must be equal to 360°
3x° + 2x° + 90° = 360°
5x + 90 = 360
5x = 270 divide both sides by 5
x = 54
Answer:
(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))
Step-by-step explanation:
Base of the Pyramid = 8 Inches
Height of the Triangular Face = 6.9 Inches
In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.
Since the four triangles are congruent:
Lateral Surface Area = 4 X Area of One Triangle
Area of a Triangle = 
Area of one Triangular Face 
Therefore:
Lateral Surface Area 
Therefore, Talia is correct.
X1 = 12
X2 = 4
I took the test and can promise you this is correct!!
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is





The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Answer:
I believe the answer is 10 units.