31 degrees, 31 degrees, 118 degrees
Step-by-step explanation:
Step 1 :
Let x be the measure of 2 angles of the given isosceles triangle with same measure
Let y be the measure of 3rd angle
So we have x + x + y = 180
Step 2 :
Given that the measure of 3rd angle of triangle is 25° more than three times the measure of either of the other two angles
So we have , y = 3 x + 25
Step 3:
Substituting for y in the first equation we have,
x + x + 3 x + 25 = 180
=> 5 x + 25 = 180
=> 5 x = 180-25 = 155
=> x = 155/5 = 31
Hence the 2 angles of the triangle are 31 degrees.
Step 4:
we have y = 3 x + 25
=> y = 3 * 31 + 25 = 118
Hence the 3rd angle of given triangle is 118 degrees
Answer:
-2.1
Step-by-step explanation:
First lets figure out what -5+5 equals. so -5+5=0. so then -4-0 equals -4. so therefor your answer is -4
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

Therefore, the inequalities in the system of linear inequalities are
and
.
Answer:
22
Step-by-step explanation:
Mean basically just means average. To find the mean, add the numbers together and divide them by the number of numbers.
17 + 20 + 17 + 33 + 22 + 23 = 132
After that, divide by 6 since there are 6 numbers
132 ÷ 6 = 22
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Have a good day :)