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)
The height is the measurement from the base to the top straight up.
The Slanted height is the height from base to top on one face of the pyramid.
Step-by-step explanation:
Percentage decrease = 30% × 25
New value = 25 - Percentage decreaseNew value =
25 - Percentage decrease =
25 - (30% × 25) =
25 - 30% × 25 =
(1 - 30%) × 25 =
(100% - 30%) × 25 =
70% × 25 =
70 ÷ 100 × 25 =
70 × 25 ÷ 100 =
1,750 ÷ 100 =
17.5
Absolute change (actual difference) =
New value - 25 =
17.5 - 25 =
- 7.5
Answer:
she spent $1782
Step-by-step explanation:
first we have to find out her total money then minus 990
to get that 990 /5 then multipliedby 6 is 1188
1188 over 3 then times by 7 is 2772
2772 is the total amount of money she had. minus what she had left which is 990 she has spent 1782 dollars