Define p and q as follows. Let p be "Muhundan spoke at the teachers' conference."
Let q be "Muhundan received the outstanding teacher award."
Suppose p is false and q is true. Find the truth value for the compound statement below.
Muhundan spoke at the teachers' conference if and only if Muhundan received the outstanding teacher award.
Is the compound statement true or false?
O A. False because the simple statements have the same truth value.
OB. False because the simple statements have different truth values.
O C. True because the simple statements have the same truth value.
OD. True because the simple statements have different truth values.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

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step-by-step explanation:

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