Answer:
57 °
Step-by-step explanation:
Complementary angles = 90 °
Since, Your angle don't have ∠ [ ] Then Let let "C" and "y"
Thurs, C = 12x- 3 and y = 7x - 2
It is given that angles r and s are complementary angles. Two angles are complementary if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,
c + y = 90
12x - 3 + 7x - 2 = 90
19x - 5 = 90
19x = 95
x = 95/19
x = 5
Using the value of x in expression or r, we get:
c = 12x - 3 = 12(5) - 3 = 60 -3 = 57 degrees.
So measure of angle c is 57 degrees.
Hence, the ∠ is 57 °
[RevyBreeze]
Answer:
p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
d(x) = (x - 2)
r = 0
f(x) = x⁵ - 10x³ + 9
Step-by-step explanation:
From the synthetic division given in the question,
Polynomial p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
Divisor d(x) = (x - 2)
After synthetic division of this polynomial by 2 we get the remainder,
r = 0
And the new polynomial f(x) that can be used further to find the other factors will be,
f(x) = x⁵ + (0).x⁴ + (-10)x³ + (0).x² + 9
f(x) = x⁵ - 10x³ + 9
(a) : y = 8 because 2x4 = 8
(b) : x = 9 because 9x4= 36
Answer:
The model swing should be <u>2.75 cm</u> high.
Step-by-step explanation:
Given:
A 168-cm tall person is 2 cm in Ming’s model.
If the actual swing is 231 cm high.
Now, to find how high should his model swing be.
Let the model swing be 
So, 168 cm tall person is equivalent to 2 cm.
Thus, 231 cm actual swing is equivalent to 
model swing.
Now, we get the height of the swing in the model by using cross multiplication method:
<em>By cross multiplication:</em>
⇒ 
<em>Dividing both sides by 168 we get:</em>
⇒ 
Therefore, the model swing should be 2.75 cm high.
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