Answer:
61
Step-by-step explanation:
straight line = 180 degree
to find the measure of angle QPR,
subtract 119 from 180
=> 180-119
=> 61
angle QPR = 61 degree
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer:
pi
Step-by-step explanation:
First find the circumference of a circle with radius 4
C = 2 * pi *r
C = 2*pi*4
C = 8pi
A circle has 360 degrees
Find the fraction of a circle that 45 degrees is
45/360 = 1/8
Multiply the fraction by the circumference
1/8 *8pi = pi
Each week, there are 24+12x more new instances recorded than there was the previous week which is increasing exponentially.
There were 24 cases of flu reported in a city's hospital on January 4.
In the next 5 weeks, the number of new cases reported each week had grown exponentially.
Let "A" represent the number of flu cases at time "t." Any population "A" grows exponentially over time at a rate of "t." The beginning population directly affects the rate of population change.
dA/dt = k( T - 24 )
T- 24 = c × 
[Differentiate with 't']
T = 24 + c ×
After 1 week T = 36 and t = 1
36 - 24 = c × 1
c = 12
T = 24 + 12x.
Therefore, 24 + 12x new instances have been reported each week, increasing exponentially.
Learn more about the exponential rate of change here:
brainly.com/question/11845213
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