There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
The coordinate of the reflectedpoint is (7, -4).
There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
The point (-7,4) is reflected across the y-axis and then across the x-axis.
This means,
(-7, 4) when reflected across the y-axis we get,
(-7, 4) = (7, 4)
Now,
(7, 4) is reflected across the x-axis.
(7, 4) = (7, -4)
Thus,
The coordinate of the reflectedpoint is (7, -4).
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Answer:
(B)
Step-by-step explanation:
Given: It is given that arc AD=130° and arc AB=arc CD=80°.
To find: The measure of ∠APD.
Solution: It is given that arc AD=130°⇒m∠AOD=130° (The measure of the central angel is equal to the intercepted arc)
Also, arc AB=arc CD=80°⇒m∠AOB=m∠DOC=80° (The measure of the central angel is equal to the intercepted arc)
We know that the sum of the central angles is equal to 360°, thus
m∠AOD+m∠AOB+m∠BOC+m∠COD=360°
⇒130°+80°+m∠BOC+80°=360°
⇒290°+m∠BOC=360°
⇒m∠BOC=360°-290°
⇒m∠BOC=70°
Now, since (The measure of the central angel is equal to the intercepted arc), therefore arcBC=70°.
Also, we know that Angle Formed by Two Secants is half of the DIFFERENCE of Intercepted Arcs, therefore
Substituting the values, we get
⇒
⇒
Thus, the measure of ∠APD is 30°.
Hence, option B is correct.
Answer:
the answer is 25
Step-by-step explanation:
1/2(130-80)
A farmer collected 12 dozen eggs from her chickens. She sold 5/6 of the eggs at the farmers' market, and gave the rest to friends and neighbors. Then 2 dozens did the farmer give away
A division is a process of splitting a specific amount into equal parts.
Given that a farmer collected 12 dozen eggs from her chickens
We know that 1 dozen = 12 eggs.
12 dozens = 12×12=144 eggs.
And out of 144 eggs, she sold 5/6 of the eggs at the farmer market, that is
5/6×144
120 eggs.
And she gave away the rest to friends and neighbours .
It means, she gave 144-120=24 eggs.
to friends and neighbours, which is equal to 2 dozens .
Hence, 2 dozens of eggs she gave away.
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