Answer:
YES
Step-by-step explanation:
The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side
So, we will test it for all 3 sides
7.4 + 12.5 ≥ 19.9
TRUE
12.5 + 19.9 ≥ 7.4
TRUE
7.4 + 19.9 ≥ 12.5
TRUE
Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle
Answer:
The actual length of the wall is 10.5 m
Step-by-step explanation:
Write and solve an equation of ratios to answer this question:
2 cm 3 m
--------- = ---------
7 cm L
Solve this for L by inverting both sides:
7cm L
---------- = --------
2 cm 3 m
and then multiplying both sides by 3m:
21
----- = L
2
The actual length of the wall is 10.5 m
Answer: 169.2cm
Step-by-step explanation:
From the question, we are informed that three equal-sized cardboard boxes are stacked on top of each other and that each box is 56.4 cm in height.
To get the combined height of the 3 stacked boxes, we multiply 56.4cm by 3. This will be:
= 56.4cm × 3
= 169.2cm
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
Using integers, the answer would be:
-4, -5, -6, -7, -8...
Step-by-step explanation:
