The value of x in the diagram is 15° and the value of y is 6°
Please find attached the diagram used in answering this question
The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees
The first step is to determine the value of x.
The value of x can be determined using the exterior angle.
The sum of the two interior opposite angles in a triangle is equal to the external angle
(4x - 7)° + 86° = (9x + 4)°
Combine similar terms
9x - 4x = 86 - 7 - 4
5x = 75
x = 15°
To determine the value of y, first substitute for the value of x in the angle (4x - 7)°
(4x - 7)° = (4x15) - 7 = 53°
The sum of angles in a triangle add up to 180°
53° + 86 + (7y - 1) = 180°
add like terms
138 + 7y = 180
7y = 42
y = 6°
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Linda Frankell Pays $50.00 a month towards group health insurance, so for a year, that is for 12 months, her premiums would be
Linda's premiums for 12 months = $50 × 12 = $600
Deductible is the amount Linda Frankell will have to pay each year as a policy holder towards her medical expenses before the insurance company pays its share.
Amount Linda pays towards deductible = $300
Linda's medical bills = $2,600.00
The insurance company will pay 80% of the bills less the deductible, which means, the insurance company will pay 80% of the ($2,600.00 - $300 deductible = $2,300.00)
∴ Amount the insurance company pays = 80% of $2,300.00 = $1,840.00
Amount Linda has to pay towards the $2,300.00 = $2,300.00 - $1,840.00 = $460.00
Linda's total cost = Linda's 12 months premiums + $300 deductible + $460 = $600 + $300 + $460 = $1,360.00
Insurance company's payment = $1840.00
Linda's total cost = $1,360.00
Answer:
Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (4, 6) and (6, 10). Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>
Q4:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<h3><u>Question:</u></h3>
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
<h3><u>Answer:</u></h3>
y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.
<h3><u>Solution:</u></h3>
Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars
Let "y" be the value in dollars
Let "x" be the number of euros
We have to write a equation in form of y = kx
<em><u>8 euros were worth 9 dollars</u></em>
"k" is found as follows:
Therefore, equation of y = kx is given as:
To check the equation, use the another given value
24 euros were worth $27
Hence the equation y = 1.125x is correct
Mejor respuesta
equivale a doce unidades, por ejemplo:
tengo 12 huevos = tengo una docena de huevos, pero tambien se pueden acumular, por ejemplo:
tengo 24 canicas = tengo 2 docenas
y para sacar las docenas solo divides el numero o las unidades entre 12
UnDeR · hace 7 años
