Answer:this is gonna help you sm
Step-by-step explanation:
There’s an all called photo math, download it on ur phone and ur set
Answers:
x = 7
The measure of angle D is 14 degrees
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Angle C and angle D are complementary, which means they add to 90 degrees.
(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7
So you have the correct x value. Nice work.
Now use this x value to find the measure of angle D
angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees
Answer:
The distance between the two points is approximately 11 units
Step-by-step explanation:
Here, we are to give the distance between the given two points to the nearest whole number;
To calculate the distance, we shall be using the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (5,6)
(x2,y2) = (1,-4)
D = √(1-5)^2 + (-4-6)^2
D = √((-4)^2 + (-10)^2
D = √(16+100)
D = √(116)
D = 10.77 units which is approximately 11 units
We are given the statement that the strength, S, of a beam of width w andheight h is proportional to wh2. hence using k as the proportionality constant, the equation is S = k wh2. the exact width and height can be determined by applying optimization to the problem. optimization is taking the first derivative of an equation and equating then to zero
