Answer:
Zero
Step-by-step explanation:
The distance AB is ...
... √((5-1)²+(5-2)²) = √(16+9) = 5
The largest right triangle that can be constructed with AB as the hypotenuse is one with an altitude of 5/2 = 2.5 units. Its area will be ...
... (1/2)·5·2.5 = 6.25 . . . . square units
It is not possible to construct the triangle ABC described.
_____
In order to achieve the given area, ∠C would need to be 87.75° or smaller. It could not be 90°.
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
Answer:
D. 125 cm³
Step-by-step explanation:
Volume is how much space an object takes up.
The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:
V = s³
V = 5³ = 5 * 5 * 5 = 125
The answer is thus D.
The area of smaller square is 81
