Gabe is planning on riding the roller coaster 25 times. If he has already ridden 36% of his 25 times, how many times has Gabe al
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As given,
The diameter of one glass bead = 0.4 cm
As the beads are stringed/attached end to end that means a straight line of beads (diameter) can be imagined and adding up all the diameters or multiplying the diameter with total number of beads, we can get the total length of the necklace.
Hence, the length can be found as =
cm
or converting this in meters we get meter
Hence, the necklace will me 40 meters long.
Tile 1:
In any triangle (regardless its type), the sum of measures of the internal angles is 180°.
This means that:
∠ABC + ∠BAC + ∠ACB = 180°
Tile 2:
The sum of measures of internal angles of a triangle is 180°.
We are given that:
ΔABC is isosceles where AB = AC
This means that:
∠ABC = ∠ACB
We are also given that measure angle BAC is 70 degrees
180 = ∠ABC + ∠ACB + 70
∠ABC + ∠ACB = 110°
We know that both angles are equal, therefore:
∠ABC = ∠ACB = 110/2 = 55°
Tile 3:
We are given that ΔQPR is an isosceles triangle where PQ = QR
This means that:∠QPR = ∠QRP
We are given that ∠QRP = 30°
This means that:∠QPR = 30°
Tile 4:
A diagram representing the given scenario is attached.
Now we have:
point D is midpoint to AB and point E is midpoint to BC
There is a theorem stating that: "In a triangle, a line joining the midpoints of two sides is parallel to the third side and equals half its length"
Applying this to the givens, we would conclude that:ED is parallel to AC
Now, since these two lines are parallel, then angles BAC and BDE are corresponding angles which means that they are equal.
This means that:∠BAC = ∠BDE = 45°
Hope this helps :)
In any triangle (regardless its type), the sum of measures of the internal angles is 180°.
This means that:
∠ABC + ∠BAC + ∠ACB = 180°
Tile 2:
The sum of measures of internal angles of a triangle is 180°.
We are given that:
ΔABC is isosceles where AB = AC
This means that:
∠ABC = ∠ACB
We are also given that measure angle BAC is 70 degrees
180 = ∠ABC + ∠ACB + 70
∠ABC + ∠ACB = 110°
We know that both angles are equal, therefore:
∠ABC = ∠ACB = 110/2 = 55°
Tile 3:
We are given that ΔQPR is an isosceles triangle where PQ = QR
This means that:∠QPR = ∠QRP
We are given that ∠QRP = 30°
This means that:∠QPR = 30°
Tile 4:
A diagram representing the given scenario is attached.
Now we have:
point D is midpoint to AB and point E is midpoint to BC
There is a theorem stating that: "In a triangle, a line joining the midpoints of two sides is parallel to the third side and equals half its length"
Applying this to the givens, we would conclude that:ED is parallel to AC
Now, since these two lines are parallel, then angles BAC and BDE are corresponding angles which means that they are equal.
This means that:∠BAC = ∠BDE = 45°
Hope this helps :)