9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
The sequence seems to be that you add 1 and then multiply by 2, and then add 1 and multiply by 3, so I would assume you do 9 + 1 = 10, and then multiply by 4 to get 40 as your next number. I hope this helps!
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
A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).
