Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
Answer:
The triangles are similar by AAA
Step-by-step explanation:
Here, we want to show that the two triangles are equal
for each of the two, we can see that we have two angles
mathematically, the sum of the angles in a triangle is 180
For the bigger one,
The last angle will be;
180-85 -50 = 45
For the smaller one;
the last angle will be;
180 - 85 - 45 = 50
The angles in the bigger are 45,50 and 85
The angles in the smaller are 45,50 and 85
This shows that both triangles are completely congruent by AAA (angle-angle-angle)
The probability in all given conditions is 1/4.
According to the statement
Number of coin tossed = 3
Total outcomes = 8
Now, we have to find the probabilities on different conditions.
- Probability of a head on each of the last two tosses
Probability = A head on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of alternating tale and head
Probability = alternating tale and head / total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of a no tails on each of the last two tosses
Probability = A No tails on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
So, The probability in all given conditions is 1/4.
Learn more about PROBABILITY here brainly.com/question/25870256
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Answer:
d. 2√34 cm
Step-by-step explanation:
Secant BD is the hypotenuse of right triangle ABD with legs given as AB = 6 cm and AD = 10 cm. Hence the Pythagorean theorem can be used to find BD:
BD = √(AB² +AD²) = √((6 cm)² +(10 cm)² = √136 cm = 2√34 cm
Use the ratio of cosine.
cos x = adj/hyp
cos 60 = x/14
14 (cos 60) = x
7 = x
length of DF is 7.
Hope this helps :)