Answer:
Step-by-step explanation:
The top one is the third one the bottom one is the first one
The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore
<h3>How to complete two column proof?</h3>
We are given that;
∠T ≅ ∠V and ST || UV
From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.
The second missing proof is Transitive property because angles are congruent to the same angle.
The last missing proof is Converse alternate interior angles theorem
because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
Read more about Two Column Proof at; brainly.com/question/1788884
#SPJ1
B because the distance between p to b is 1/4 of the line and the distance between p to a is 3/4 of the line
Step-by-step explanation:
<h2>b⁸ ( 32b⁵)</h2>
<h2>
that's all</h2><h2>
your answer</h2>
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches