Answer:
Option a:
a=79
b=1.002
r=0.2%
Step-by-step explanation:
Q = 79 (1.002)^t
Q = a b^t = a (1+r)^t
Comparing with the formulas:
a=79
b=1.002
1+r=1.002
Solving for r: Subtrating 1 both sides of the equation:
1+r-1 = 1.002 - 1
r = 0.002
Writting r as percent:
r = (0.002) 100%
r = 0.2%
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
The value of x would be 30 degrees.
<h3>What is the angle sum property?</h3>
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
Learn more about the triangles;
brainly.com/question/2773823
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Answer:
x2 - 6x + 5y = -34
x2 - 6x = -5y + (-34)
x2 - 6x + 9 = -5y + (-34) + 9
x2 - 6x + 9 = -5y - 25
x2 - 6x + 9 = -5 (y + 5)
(x-3)^2 = -5 (y + 5)
From the standard equation: (x-h)^2 = -4c(y-k)
The vertex is (h.k) ----->> (3, -5)
-4c = -5
-4c/4 = -5/4
The focus is (h, k-c) ---->> [(3, -5 - (-5/4)]
Focus : (3, -15/4)
If not the answer that I got is 26/57 = [849 x(x= 372.25)]/5
