Answer:
see below
Step-by-step explanation:
1. < 4 is the exterior angle of a triangle given
2. <1 + <2 + <3 =180 basic property of triangles
3. <3 + <4 are a linear pair <3 and <4 are adjacent and form a straight line
4. <3 and <4 are supplementary angles supplementary angles are linear pairs
5. <3 + <4 = 180 The definition of supplementary angles are that they add to 180 degrees
6. <1 + <2 + <3 = <3+ <4 Substitute <3 + <4 for 180 in equation from step 2
7 <1 + <2 = <4 Subtract <3 from each side using the subtraction property of equality
Answer:
9/40
Step-by-step explanation:
Captain Jessica shoots first. This means her ship has not already been hit, which means she has a 2/5 chance of hitting the pirate ship. This also means she has a 1-2/5 = 3/5 chance of missing the pirate ship.
Since Captain Jessica misses, dread pirate Ishaan has a 3/8 chance of hitting the captain's ship. This means he has a
3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
To find the probability of landing on a triangle, you will want find the combined areas of the triangles and the total area of the square target.
Divide the area of the combined areas and the total area to find the probability of landing on a triangle.
A = 1/2bh
1/2 x 8 x 8
A = 32 square inches
32 x 4
128 square inches (areas of triangles)
A = bh
26 x 26
A = 676 square inches
128/676 = 0.189
There is an approximate probability of 0.19 of hitting a triangle.
Answer:
77bb
Step-by-step explanation:
