Step-by-step explanation:
I'll do the first problem as an example.
∠P and ∠H both have one mark. That means they're congruent.
∠T and ∠G both have two marks. So they're congruent.
∠W and ∠D both have three marks. So they're congruent.
So we can write a congruence statement:
ΔPTW ≅ ΔHGD
We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.). For example:
ΔWPT ≅ ΔDHG
ΔTWP ≅ ΔGDH
Answer:
SAS postulate
Step-by-step explanation:
AD (common)
AC = BD (both are diameters)
Angle COD = Ange AOD (vertically opposite angles)
Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)
Therefore, ABD and DCA are congruent by SAS postulate
Here we don't know the length of the hypo, but do have measures of both legs of this right triangle: x and 40 yd.
Use the tangent function to determine the value of x:
x
--------- = tan 62 degrees. Solving for x: x = (40 yd)(tan 62 deg).
40 yd can you evaluate this yourself?
(x - xc)² + (y - yc)² = r²
Where xc and yc are center coordinates
(x - (-4))² + (y - 3)² = 2²
x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4
x² + 8x + 16 + y² - 6y + 9 = 4
x² + y² + 8x - 6y + 25 - 4 = 0
x² + y² + 8x - 6y + 21 = 0
