Answer:
Step-by-step explanation:
In trapezoid FPST, FP=ST, then this trapezoid is isosceles, so
Draw the height PH. Triangle FPH is right triangle with two angles of measure 45°. This means that FH=HP. By the Pythagorean theorem,
Since trapezoid FPST is isosceles, the base FT hasthe length
Then the length of the midline is
Answer:
x = y = - 1
Step-by-step explanation:
y = - 2x - 3
y = 7x + 6 -----> equation 1.
So,
7x + 6 = - 2x - 3
7x + 2x = - 3 - 6
9x = - 9
Divide 9 on both sides,
9x / 9 = - 9 / 9
x = - 1
Substitute x = - 1 in equation 1,
y = 7x + 6
= 7 ( - 1 ) + 6
= - 7 + 6
= 6 - 7
y = - 1
Therefore,
x = y = - 1
Multiply numerator with numerator and denominator with denominator. And also convert any mixed numbers to fractions before multiplication.
From the given figure, we can note that segment XW and ZW are congruent. Similarly, XY and YZ are congruent. Additionally, both triangles share side YW. By means of the Side-side-side theorem, all corresponding sides and angles are congruent. Therefore, the answer is option C,
