<u>Answer:</u>
The value of x is in the solution set of 3(x – 4) ≥ 5x + 2 is -10
<u>Solution:</u>
Need to determine which value of x from given option is solution set of 3(x – 4) ≥ 5x + 2
Lets first solve 3(x – 4) ≥ 5x + 2
3(x – 4) ≥ 5x + 2
=> 3x – 12 ≥ 5x + 2
=> 3x – 5x ≥ 12 + 2
=> -2x ≥ 14
=> -x ≥ 7
=> x ≤ -7
All the values of x which are less than or equal to -7 is solution set of 3(x – 4) ≥ 5x + 2. From given option there is only one value that is -10 which is less than -7
Hence from given option -10 is solution set of 3(x – 4) ≥ 5x + 2.
Answer:
-23/4
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.
Hope this helps!
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
1/4 exact form, 0.25 decimal form.
