Answer:
Option 1 - X = 9
Step-by-step explanation:
The solution to this equation, x - 15 = - 6
Solving the following,
Step 1: x - 15 = -6
Replace all the numerical values in one side and x digits on the other side
Step 2: x = -6+15
Step 3: x = 9
Therefore, the value of x is 9.
Answer:
x = 23/16
Step-by-step explanation:
x + 1/16 = 3/2
Get a common denominator
x + 1/16 = 3/2 *8/8
x + 1/16 = 24/16
Subtract 1/16 from each side
x+1/16 -1/16 = 24/16 -1/16
x = 23/16
New price = <u>90 dollars</u>
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25% of 120 = 30
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
Answer:
65°
Step-by-step explanation:
The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).
Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:
m∠1 + m∠2 = 180°
m∠1 + 115 = 180
m∠1 = 180 - 115
m∠1 = 65°
Answer:
150
Step-by-step explanation:
The perimeter of a triangle is defined or given as the summation of all its 3 sides.
Mathematically,
The perimeter of a Triangle = Side A + Side B + Side C
In the above question, we are to find the perimeter of Triangle AGN.
In the diagram , we have an inscribed circle of RTE
Therefore these values are given in the question.
Side AR = 35
Side RG = 21
Side EN = 19
We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,
Side EG = Side RG = 21
Side TN = Side EN = 19
Side AT = Side AR = 35.
Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG
= 35 + 35 + 19 + 19 + 21 + 21
= 150
The perimeter of Triangle AGN is 150
