43-2(11)=43-22=21
The answer is 21
Answer:
39°
Step-by-step explanation:
For a straight line, the sum of angle is 180°
At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°
68° is alternate angle to the inner angle in the triangle
Since the sum of angles in a triangle are 180°, then angle x will be
X=180-73-68=39°
Therefore, missing angle is 39°
Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
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Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
Answer:
Step-by-step explanation:
<u>Let the number is x, then we have:</u>
- 6x - 19 = 4x + 11
- 6x - 4x = 11 + 19
- 2x = 30
- x = 15
