Given:
Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel
The lines which could be perpendicular to RS are EA and FG.
The <em><u>correct answer</u></em> is:
AAS
Explanation:
AAS stands for "angle-angle-side." This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.
In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with. Throughout the proof, we find that ∠ABC ≅ ∠DCB. We also have that CB is congruent to itself. This is two angles and a side not included, so this is AAS.
Answer:
a) ∅ ∈ {∅} TRUE
b) ∅ ∈ {∅,{∅}} TRUE
c) {∅} ∈ {∅} FALSE
d) {∅} ∈ {{∅}} TRUE
e) {∅} ⊂ {∅,{∅}} TRUE
f ) {{∅}} ⊂ {∅,{∅}} TRUE
g) {{∅}} ⊂ {{∅},{∅}}FALSE
Step-by-step explanation:
To assess whether these statements are true or false, first observe the symbol:
"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"
On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.
So:
c) is false because "{∅}" is not included in the set
g) is false because " {{∅}}" is not included in the set
First, make it an improper fraction, 7x4 is 28. 28+1 is 29. So the improper fraction is 29/7. Then, divide 29 by 7. The answer is 4.14 rounded to the tenths place.
I think the answer is 24 hope this helps XD