Answer:
x=4
Step-by-step explanation:
since triangles are proportional by 2:1, then:
16/2=3x-4
8=3x-4
3x=12
x=4
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:
V=75pi ft^3 or 235.619 ft^3
Step-by-step explanation:
area of base times length
area of circle = pi * r^2 where r = 1/2 * diameter
A = pi * 2.5^2
A= 6.25pi ft^2
multiply by length
V= 6.25pi*12
V=75 pi
Answer:
Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do
Step-by-step explanation: what app and ok
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet