Answer:
m∠X = 29°
m∠V = 61°
m∠W == 90°⇒given
Step-by-step explanation:
∵ ΔXWV is right angle at W
∴ m∠W = 90°
∴ m∠X + m∠V = 180° - 90° = 90°
∵ m∠X = 2x + 5 and m∠V = 4x +13
∴ 2x + 5 +4x + 13 = 90
∴ 6x + 18 = 90
∴ 6x = 90 - 18 =72
∴ x = 72/6 = 12
∴ m∠X = 2(12) + 5 = 29°
∴ m∠V = 4(12) + 13 = 61°
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First you would find the area of the square: 230*230= 52,900Next you would find the area of one on the triangles: 230*187=43,010 * 1/2= 21,505Then you would multiply the area of the one triangle by four: 21,505*4= 86,020Finally, you would add the area of the square to the combined area of the triangles: 86,020+ 52,900=138,920
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
Answer: The budget of Alexa is increased by $100.
Explanation:
It is given that the current income of Alexa is 3 times of her previous income.
Her previous salary was $800 and current salary was $2400.
Expenses = Rent + Utilities + Groceries + Savings + Bus
The sum of previous expenses is,
Previous expenses = $300 + $60 + $200 + $100 + $30 = $690
The sum of current expenses is,
Current expenses = $300 + $60 + $250 + $150+ $30 = $790
Effect of income on expenses is the difference of current expenses and previous expenses.
Effect of income on expenses = $790 - $690 = $100
Therefore, the budget of Alexa is increased by $100.