Answer:
D₁ = 68°
Step-by-step explanation:
If AB = BE then ΔABE is an isosceles triangle, therefore A₁ = E₁.
If A₁ = 28° then E₁ = 28°.
<u>Opposite sides</u> of a parallelogram are <u>parallel</u>.
Using the Alternate Interior Angles Theorem:
A₂ = E₁ = 28°
Therefore, A = A₁ + A₂ = 28° + 28° = 56°
<u>Opposite angles</u> in a parallelogram are <u>equal</u>.
Therefore, C = A = 56°.
<u>Opposite sides</u> of a parallelogram are <u>equal in length</u>, so AB = CD.
If AB = DE = CD then ΔCDE is an isosceles triangle.
Therefore, C = E₃ = 56°.
Interior angles of a triangle sum to 180°.
⇒ D₁ + C + E₃ = 180°
⇒ D₁ + 56° + 56° = 180°
⇒ D₁ + 112° = 180°
⇒ D₁ = 180° - 112°
⇒ D₁ = 68°
Answer: 8/145
Step-by-step explanation: Rewriting the table
Positive and Negative stand for the result of the test
Yes and No stand for having the disease
Positive | Negative | Total
<u>Yes </u><u> | 137 | 8 | 145</u>
<u>No </u><u> | 16 | 139 | 155</u>
<u>Total</u><u> | 153 | 147 | 300</u>
<u />
probability of getting someone who tests negative, given that he or she had the disease.
P(Negative | Yes) = <u>P(Negative ∩ Yes)</u> = <u> 8 </u>
P(Yes) 145
<u />
2x - 8 = 5x +3
First you will subtract the 2x and you will end up with -8 = 3x + 3. Then you will need to move the 3 over by subtraction. You will end up with -11 = 3x. Now you will divide each side by 3 to get the x by itself. You end up with -11/3 = x as your final answer.
First we need to know how many meters that there are in a yard which is 1meter=1.09361 yards so now we need to find out how many meters that there are in 15 yards which is 13.716 now we take that times 2 because she can make 2 out of 1 meter which is 27.432 so the seamstress here can make roughly 27 aprons from 15 yards of fabric.
Enjoy!=)
