Answer:
m<C = 113°
Step-by-step explanation:
m<A = 67° (given)
Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.
This implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
Answer:
Step-by-step explanation:
Given that,
The base of the parallelogram, b = 2.5 cm
Height of the parallelogram, h = 1.25 cm
We need to find the area of the logo. The formula for the area of the parallelogram is given by :
So, the area of the logo is 
.
Let x be the unknown distance from his scout camp to another camp. The time it takes for him to travel upstream is x / (5 + 3) and downstream x / (5 - 3)
The total time for him to travel forth and back is 10 hr. This may be mathematically expressed as,
x/8 + x/2 = 10
Solving for x in this equation gives 16. Thus, the distance to the camp is 16 miles.
Answer:
(2 , 0)
(1 , 0)
(4 , 0)
(0, -8)
Step-by-step explanation:
f(x) = x³ -7x² + 14x - 8
The y intercept occurs when x = 0.
This means the first three terms all go to zero an the result is y = -8
As we are given one factor, (x - 4), we know that one zero will occur when this factor is zero
x - 4 = 0
x = 4
taking out the x - 4 term from the quadratic
x³ -7x² + 14x - 8 = (x² ± Cx + 2)(x - 4)
we can see that
2x ± 4Cx = 14x
±4C = 12
C = 12/±4 = ±3
also
±Cx² - 4x² = -7x²
±C - 4 = -7
so C = -3
(x² - 3x + 2)
(x - 2)(x - 1)
x = 2
x = 1
<span> x • (11x4 - 14x3 + 12)</span>
