Volatile, tough, buoyant, strong.
Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
Answer:
⁸
Step-by-step explanation:
Given expression:
= 
x 
As a rule of exponents;
= 
So;
= x 
= ⁸
<h3>The lines intersect at (x,y) = (6,2)</h3>
This is simply because the x coordinate is 6 and the y coordinate is 2.
The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.
The line y = 2 is horizontal where all points on it have a y coordinate of 2.
The vertical and horizontal lines intersect at (6,2)
First from the information we have, we see that the volume of the cube is 27cm3. So what are the dimensions of its length, width and height? This information will help us to determine the dimensions of the square pyramid.
Volume of a cube is found from the formula V = a3
Where V is volume, and a is the length of one side.
We expand this equation to be:
V= a * a * a
Since all sides of a cube are equal, then this equation will be:
27 = 3 * 3 * 3
Now we know the length width and height of the cube.
Volume of a square pyramid is given by the formula V =1/3ah
Where V is the volume, a is the area of the base of the pyramid, h is the height of the pyramid.
Since it fits perfectly into the cube, then its dimensions are the same as the cube, so:
Area of the base is Length * Width so:
a = 3 * 3 = 9
and height:
h = 3
Now therefore:
V = 1/3 * 9 * 3
V = 1/3 * 27
V = 27/3
V = 9 cm3
Read more on Brainly.com - brainly.com/question/11049932
