Answer:
3/10
Step-by-step explanation:
2/5 + x = 7/10
x = 7/10 - 2/5
x = 7/10 - 4/10
x = 3/10
<u>Answer:</u>
The correct answer option is B. Construct a line perpendicular to XP through point A.
<u>Step-by-step explanation:</u>
We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.
From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.
So the next step must be to construct a line perpendicular to XP through point A to complete the construction.
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
All angles add to 180 (interior angles)
22+53+?=180
75+?=180
minus 75 both sides
?=105
third angle is 105 degrees
