You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:


But since we're given
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Step-by-step explanation:
inside diameter = 11/2 - 3/16 = 85/16 or 5.3125 inches
Topic: fractions
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Answer:
Shown below
Step-by-step explanation:
I believe that the number machine would look like this:
number of hours x (£15) + (£25)
Answer:
Step-by-step explanation:
sin36=h/75
h=75sin36
h=44.08ft
Answer:
Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.
Step-by-step explanation:
Use the vertical, and corresponding angles theorem to find congruent angles.
Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.
Something is supplementary if it adds to 180 degrees.
The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.
The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.