The measure of arc XZ is 28° what is the measure of XYZ
1 answer:
Arc XZ is marked in red (see the image attachment)
Angle XYZ is marked in blue
It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.
measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degrees
Answer: D) 14 degrees
Angle XYZ is marked in blue
It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.
measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degrees
Answer: D) 14 degrees
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Answer:
10, 12, 14, 16
Step-by-step explanation:
Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.
Lets assume the first number be "x".
As it is even integers
∴ Second consecutive number will be
Third consecutive number will be
Fourth consecutive number will be
Now, as given seven times the first exceeds their sum by 18.
∴
solving the equation to find the number.
⇒
Opening parenthesis
⇒
subtracting both side by 4x
⇒
Dividing both side by 3
∴ x= 10.
Hence, subtituting the value x to find four consecutive even integers.
First number is 10
Second consecutive number will be = 12
Third consecutive number will be = 14
Fourth consecutive number will be = 16
∴ Four consecutive even integers are 10,12,14,16.