Answer:
x = 55
Step-by-step explanation:
2x - 20 = 90
2x = 110
x = 55
If you're wanting to translate what Emma said it would be..
6/x = -2(x-4.5)
Answer:
See explanation
Step-by-step explanation:
Consider triangles PTS and QTR. In these triangles,
- given;
- given;
- as vertical angles when lines PR and SQ intersect.
Thus, 
by AAS postulate.
Congruent triangles have congruent corresponding sides, so
Consider segments PR and QS:
![PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]](https://tex.z-dn.net/?f=PR%3DPT%2BTR%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CQS%3DQT%2BTS%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CPT%3DQT%5C%20%5B%5Ctext%7BProven%7D%5D%5C%5C%20%5C%5CST%3DRT%5C%20%5B%5Ctext%7BGiven%7D%5D)
So,
![PR=SQ\ [\text{Substitution property}]](https://tex.z-dn.net/?f=PR%3DSQ%5C%20%5B%5Ctext%7BSubstitution%20property%7D%5D)
Answer:
60,140
Step-by-step explanation:
alternate interior angles are congruent. and then 1 and 4 are supplementary angles which create 180
Answer:
The length in centimeters is (24-x) centimeters
Step-by-step explanation:
Mathematically, we are told that the equation linking the length, width and perimeter is as follows;
2(length) + 2(width) = 48
But in this case, we are told that the width is x centimeters
2(length) + 2(x) = 48
2(length) = 48-2x
length = (48-2x)/2
length = 24 - x
