Answer:
See explanation
Step-by-step explanation:
The given circle has center O.
A, B,C, and D are points on the circumference of the circle.
We want to prove that: 
We need to join to B and C as shown in the attachment.
Recall that angle subtended by arc BC at the center is twice the angle subtended at the circumference by the same arc.
This implies that:


The LHS of equation (1) and (2) are equal. Therefore the RHS are also equal.
This implies that:


Answer:4 3/8
Step-by-step explanation: you add the full numbers together then you have to change the denominator of 3/4 to be /8 and what you do to the bottom you have to do to the top then you get 3 11/8 you then see how many 8 go into 11 to se if you need to add another full number and the numbers left over go back to the 8 making the awnser 4 and 3/8.
Answer:
y - x = 69
Step-by-step explanation:
From the figure attached,
Number in each block is the sum of the numbers in the block beneath it.
Therefore, A + 21 = 32 ⇒ A = 11
A + 5 = B ⇒ B = 16
C = 5 + x
D = 32 + B ⇒ D = 32 + 16 = 48
E = B + C ⇒ E = 16 + (5 + x)
⇒ E = 21 + x
y = D + E ⇒ y = 48 + (21 + x)
y = 48 + 21 + x
y = 69 + x
y - x = 69
Therefore, y - x = 69 will be the answer.
Answer:
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. [beep] A single lap should be completed each time you hear this sound. [ding] Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over.ep explanation:
Answer:
Step-by-step explanation:
The have the same slope, -1, but different y-intercepts. The lines are parallel.