Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.
Divide both sides by 18
Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
Answer: Option 'A' is correct.
Step-by-step explanation:
In the binomial probability formula, we have
Here, n = number of events
x = number of trials
p = probability of success
q = probability of failure
x is the number of trials among which we decide the number of successes and number of failures.
So, Option 'A' is correct.
we have
x ----> number of hats the sold
y ----> number of scarves they sold
so
12x+15y=690 ------> equation A
y=x+10 -----> equation B
Solve the system of equations
Using substitution Method
substitute equation B in equation A
12x+15(x+10)=690
solve for x
12x+15x+150=690
27x=690-150
27x=540
x=20
Find out the value of y
y=x+10
y=20+10
y=30
therefore
The answer is
<h2>20 hats and 30 scarves</h2>
Complex numbers multiplication is commutative.
so
given
= (2+i)(1+2i) * (3-i)(3+i) * (1-i)
|(2+i)(1+2i)| has 5 as its absolute value and geometrically thinking its argument is pi/2. so
(2+i)(i+2i) = 5i
and obviously
(3+i)(3-i) = 10
so the answer is
50i * (1-i) = 50 + 50i
maybe, I think...
Answer:
13
Step-by-step explanation:
