Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
Answer:
The initial temperature of the object was 37.6
Step-by-step explanation:
we have

where
f(t) represent the temperature of the object in degree Celsius
t is the time in minutes
Find the value of the constant C
we have the ordered pair (4,35)
substitute in the equation and solve for C

Find the initial value of the object
we know that
The initial temperature is the value of f(t) when the value of t is equal to zero
so
For t=0

therefore
The initial temperature of the object was 37.6 (I not include units)
Answer:
2/3 or 0.67
Step-by-step explanation:
Slope = y2 - y1 /x2 - x1
Given
x1 = 1
y1 = 8
x2 = 9
y2 = 12
Slope = 12 - 8 /9 - 1
= 4/6
Reduce is by 2
2/3
Or
0.67
Answer:
f = -4
Explanation:
Subtract The Numbers: -2 - 2 = 4
f = -| -4|
Apply Absolute Rule (|-a| = a): |-4| = 4
f = -4
Answer:
Every fifth rose in each row of roses
Step-by-step explanation: