Explanation:
Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.
Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.
Then the triangles ADB and ADC are congruent by the HL congruence theorem.
Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.
m∠3 = 180 - m∠8 = 180 - 123 = 57
m∠1 = m∠3 = 57°
So walked 4/5 mile in a 4/9 h so just use the rule of 3 simple
60 minutes ------ 1 hour
x min. ----------- 4/9 h
--------------------------------
x = 4/9 *60/1 = 240/9 = 26,6 min.
4/5 mile -------in 26,6 min.
1 mile -------- x min.
-----------------------------
x = 1*26,6/(4/5) = 26,6 /(0,8) = 33,25 min.
1 mile ..... 33,25 min.
x miles ----- 60 min.
---------------------------
x = 60/33,25 = 1,8 miles
so their unit rate in miles per hour will be 1,8 miles / hour
hope this will help you.
Answer:
1/12
Step-by-step explanation:
first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%
The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:
Split the fraction as follows:
Take the LCM
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
Hence, the partial fraction decomposition is
Read more about partial fraction at:
brainly.com/question/12783868
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