Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
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Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
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Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
Short answer: 375 grams
Remark
You only need to set up a direct proportion
Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30
Proportion
amount flour for 12 cakes / 12 cakes = x / 30
Sub and solve
150 grams / 12 cakes = x / 30 cakes Cross multiply
150 * 30 = 12 *x Multiply the left side.
4500 = 12 x Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
Answer:
A. 
, because probability values cannot be greater than 1.
C. -1.5, because probability values cannot be less than 0.
Step-by-step explanation:
Probability is the extent to which an event is likely to happen. It ranges from 0(impossible) to 1(certain). Probability values can be written in decimal form or in fractional form.
The following numbers could not be used to represent the probability of an event.
A. , because probability values cannot be greater than 1.
C. -1.5, because probability values cannot be less than 0.
