Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D = 
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Answer:
0.938
Step-by-step explanation:
From the question :
p = 0.14
Number of children, n = 7
P(x ≤ 2) = P(2) + P(1) + P(0)
Using binomial probability :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
We could also use the binomial probability calculator :
P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936
P(x ≤ 2) = 0.938
Answer:
4
Step-by-step explanation:
5.728 rounds up to 6 because it is greater than 5.50 and 2.317 rounds down to 2 since it is less than 2.5. 6 - 2 = 4.
We have that
y = 3x²<span>+ 2x + 1
step 1</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3
Complete the square. Remember to balance the equation by adding the same constants to each side
y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))
y-2/3=3*(x+2/6)²
the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
Answer:
d = 5e
Step-by-step explanation:
Number of wagons = 5
Number of miles per wagon = e
Total number of mules = d
Hence, relationship between total mules d needed will be ;
Total mules = number of wagons * Numbe rof mules per wagon
d = 5e
