4/10 is equal to 2/5 because if you reduce 4/10 you get 2/5 which shows that they are equal.
Answer:
224 im pretty sure
Step-by-step explanation:
area of a triangle= base x height / 2
if we plug the values from the problem into the equation, we get 8 x 10 / 2 which simplifies into 80 / 2, which is 40. because this is a square pyramid, we know it has 4 triangles, so we multiply 40 by 4, which is 160. now, we find the area of the square, which can be found with the equation length x width. since all sides of square are equal, the equation becomes 8 x 8, which is 64. finally, we add the area of the triangles to that of the square, and we get 224. hope this helps!
The parts that are missing in the proof are:
It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem
<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>
The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.
∠1 ≅ ∠3 and l║m because we are: given
By the transitive property,
∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.
Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.
Therefore, the missing parts pf the paragraph proof are:
- It is given
- ∠2 ≅ ∠3
- converse alternate exterior angles theorem
Learn more about the converse alternate exterior angles theorem on:
brainly.com/question/17883766
#SPJ1
Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
Answer:
D
Step-by-step explanation:
I took the quiz and got it right.
Also, the equation is y > x/2 - 3