Answer:
m<1 = 87
m<2 = 45
m<3 = 45
m<4 = 52
Step-by-step explanation:
if BC intersects <ACD then that means angle 2 and 3 = 90
so that being angle 2 and 3 are the same
now you do 180-(45+48) = 87
now same thing but 180-(45+83) = 52
Answer:
m = 1
Step-by-step explanation:
We can suppose that the number we are looking for is for example 5.
(we can do so because the probability is the same for each number - it'sna fair dice)
For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).
For the second toss the probability we have 5 is again 1/6.
For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)
Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.
We can see that m = 1.
Given:

Prove:

Solution:

Putting the value of equation (ii) into the equation (i):

putting the value x into the equation (i):

Therefore, the value of x= 4
Learn more:
brainly.com/question/6219408
Answer:
B) a = 6.7, B = 36°, C = 49°
Step-by-step explanation:
Fill in the numbers in the Law of Cosines formula to find the value of "a".
a² = b² + c² -2bc·cos(A)
a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862
a ≈ √44.4862 ≈ 6.66980
Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°
The third angle is ...
B = 180° -A -C = 180° -95° -48.31° = 36.69°
The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.