Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
Answer:
The graph with solution is shown below.
Step-by-step explanation:
We need to find the 
and 
for given equation.
For , substitute 
Considering inequality sign as equality and simplifying,
, point is 
Similarly,
For , substitute 
We get,
, point is 
We locate this two points on the graph now and join them.
The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.
Answer:
x=17
The angles are Vertical.
Step-by-step explanation:
6x17 equals 102. Then subtract 12 from 102 to get 90 degrees.
6(17)-12=90 degrees
Sum of 2 angles = 80°
Difference = 20°
If we take away 20° from the sum, both angles are equal
⇒80 - 20 = 60°
Divide by 2 to find the smaller angle:
60 ÷ 2 = 30
Add 20° to find the bigger angle:
20 + 30 = 50°
<u>One of the angle is 30° and the other angle is 50°</u>
Given that the sum of the two angles is 80°
⇒ Third angle = 180 - 80 = 100°
Answer: The 3 angles are 30° , 50° and 100°
Answer:
13 or B
Step-by-step explanation:
1 pound=16 oz
4 1/4=4.25, 4.25*16=68
68+10=78
78/6=13
