Answer:
x = 4
Step-by-step explanation:
given 2 chords intersecting inside a circle , then
the product of the parts of one chord is equal to the product of the parts of the other chord, that is
9 × 4x = 8(4x + 2)
36x = 32x + 16 ( subtract 32x from both sides )
4x = 16 ( divide both sides by 4 )
x = 4
Answer:
120 blocks total
Step-by-step explanation:
All of the little cubes have side length 2" Thus, the 11" height of the box cannot be used entirely: we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.
Start at the bottom of the box. The dimensions of the bottom are 12" by 8". Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide. We can add 3 more such rows to fill the available 8" width of the box bottom. That's 6*4, or 24 blocks.
We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.
5 layers times 24 blocks per layer comes to 120 blocks total.
Answer:
Vertex form:
The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following:
,
,
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract
Write the expression of the form
The vertex is 
Answer:
Part a) The measure of the missing angle is 
Part b) The triangle of the figure is a right triangle
Part c) The triangle of the figure is a scalene triangle
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle is equal to 
so
Let
x------> the missing angle
we know that

solve for x

The triangle of the figure is a right triangle --------> by its angles
Because the triangle has an angle measure of 
The triangle of the figure is a scalene triangle --------> by its sides
Because the three angles and the three sides measures are different
The answer is 40% I believe because if you add 18+12 you get 30 and 12/30 when converted is 40%