AC and AB are tangents to circle O, meaning that the angles C and B are right angles of 90 degrees. Since a quadrilateral's internal angles must sum up to 360 degrees, this means that A + B + C + O = 360
70 + 90 + 90 + O = 360
O = 110 degrees.
Answer:
x=y+9
Step-by-step explanation:
so what we do here is take x-9 and add 9 to both sides giving us y+9=x all we do is put x first and y+9 last and we have the inverse
Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >>
and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)
Answer:
5" by 6"
Step-by-step explanation:
Just multiply each of the dimensions 15" and 18" by 1/3:
5" and 6"
The poster, 1/3 of the original size, will have dimensions 5" by 6".
9514 1404 393
Answer:
SSS
Step-by-step explanation:
Two sides are marked congruent and the third side is shared. It is congruent to itself.
Hence, all three sides are congruent, and you can invoke the SSS congruence postulate to say the triangles are congruent.