Can y’all help me I don’t understand this
1 answer:
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Answer:
The measure of middles angle is 113.5° .
Step-by-step explanation:
Given as :
The measure of the largest angle is 10 less than 5 time the smallest angle.
The measure of the middle angle is 6 more than twice the measure of the largest angle
Let The largest angle = L
Let The middle angle = M
Let The smallest angle = S
As per statement
Largest angle = 5 times smallest angle - 10
i.e L = 5 × S - 10 .....1
Again
Middle angle = twice largest angle + 6
i.e M = 2 × L + 6 ......2
Since for any Triangle sum of three angles = 180°
i.e ∠L + ∠M + ∠S = 180°
Or, ( 5 × S - 10 ) + ( 2 × L + 6 ) + S = 180°
Or, ( 5 × S - 10 ) + [ 2 × (5 × S - 10 ) + 6 ] + S = 180°
Or, 5 S - 10 + (10 S - 20 + 6) + S = 180°
Or, 5 S - 10 + 10 S - 20 + 6 + S = 180°
Or, (5 + 10 + 1) S - 24 = 180°
Or, 16 S = 180° + 24
Or, 16 S = 204
∴ S =
i.e S = 12.75
So, The measure of smallest angle = S = 12.75°
And
L = 5 × 12.75 - 10
i.e L = 53.75
So, The measure of Largest angle = L = 53.75°
And
M = 2 × L + 6
Or, M = 2 × 53.75 + 6
i.e M = 107.5 + 6 = 113.5
So, The measure of middles angle = M = 113.5°
Hence, The measure of middles angle is 113.5° . Answer
Answer:
Assume the pair of dice are fair; if not, all bets are off!
Color one die green (G) and the other one red (R). There are 36 possibilities in throwing one green and one red die, eg (G1, R1), (G1, R2), etc; (G2, R1), (G2, R2), etc; etc; (G6, R1), (G6, R2), etc.
In the set of possible numbers from throwing a die, there are only 3 possibilities that sum to to 4: (G1, R3), (G2, R2), (G3, R1).
So the answer is 3/36, or one-twelfth.
