Yes please merry Christmas
Answer:
The scale factor is 4.5
Step-by-step explanation:
Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST
Thus:
XY corresponds to RS
XY = 45
RS = 10
Therefore:
Scale factor = 45/10 = 4.5
Scale factor from ∆RST to ∆XYZ = 4.5
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
We’re told that QR and RS are equal, so this is an isosceles triangle.
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000