9.5000032 is one such number
Answer:
x+18
Step-by-step explanation:
The main formula is arc RT = r x measure <span>RST
so </span>∠RST=<span>minor arc RT / r
</span>minor arc RT = 23<span>π
r= 3 cm
</span>∠RST= 23<span>π/3</span>
Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Answer:
60 feet
Step-by-step explanation:
We know that a triangle has 3 sides, in this case we will call them a, b and c.
It tells us that everything is material, it measures 20, that is:
a + b + c = 20
They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:
border material need = 3 * a + 3 * b + 3 * c
common factor 3:
border material need = 3 * (a + b + c)
border material need = 3 * 20
border material need = 60
Which means that she needs a total of 60 feet of material.
