Answer: y = -2x + 1 1/6
Steps:
2x + 6y = 7
2x + y = 7/6
y = 7/6
y = -2x + 7/6
y = -2x + 1 1/6
Answer:
A
Step-by-step explanation:
Answer:
<h2>A) 67</h2>
Step-by-step explanation:
The sum of the angles measures at one side of the parallelogram is 180°.
Therefore we have the equation:
x + 113 = 180 <em>subtract 113 from both sides</em>
x + 113 - 113 = 180 - 113
x = 67
How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.
In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:
i. △ABC ~ △DEC
ii. ∠B ≅ ∠E
iii. 3DE = 2AB
