Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is 
.
11 is the bigger side in this case, so our formula would go like this: 
.
We now calculate to see if this is true.
25 + 36 
121
Therefore, the answer is wrong.
Answer:
C = 5
Step-by-step explanation:
Distribute the 3
3c - 18 + 6c = 27
Adding like terms
9c - 18 = 27
Add 18 to both sides
9c = 45
Dividing both sides by 5
C = 5
Answer:
Step-by-step explanation:
A kite is a quadrilateral that has only one line of symmetry, and bisecting diagonals.
From the graph,
AB = 6 units
BC = 8 units
CD = 8 units
AD = 6 units
i. Has exactly one pair of congruent sides. Examples are; AB = AD and BC = CD.
ii. The diagonals are perpendicular. AC is at right angle to DB.
iii. The diagonals bisect each other. AC bisects DB, or vice versa.
Therefore, quadrilateral ABCD is a kite.
Answer:
8.75!
Step-by-step explanation:
the answer is x-2.5=6.25
6.25+2.50=8.75
