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)
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
Answer:
5ft
Step-by-step explanation:
perimeter=l+l+w+w
l=12
p=24+2w
34-24=10
10/2=5
Answer:
<h2>7.4inches</h2>
Step-by-step explanation:
Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.
According to the rule;
Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;
The length of u is 7.4inches to nearest 10th of an inch
9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
