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muminat
2 years ago
8

There is something wrong with this definition for a pair of vertical angles: “If AB and

Mathematics
1 answer:
Oduvanchick [21]2 years ago
8 0

Answer:

If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.

Step-by-step explanation:

The diagram is a sketch of a counterexample. Notice that ∠APC and ∠BPD are actually the same angles and are not vertical angles.

If P is between A and B and is also between C and D, then ∠APC and ∠BPD are vertical angles. Then the statement can be completed as:

If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.

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A delivery truck can transport packages weighing at most 3,800 pounds(lbs) and with a volume of no more than 400 cubic feet (ft^
Makovka662 [10]
Let's approach this problem by slowly eliminating choices.

First consider the keyword "at most" and "no more than". This means that the inequality should be less than or equal to the constant value stated. This will automatically eliminate two choices with the greater than symbol favoring the variables - choices A and D.

Next we associate the right constants to the right coefficients of variables. The two kinds of weight the truck transports are 30 and 65 lbs, and we know that this should not exceed 3,800 lbs. This is therefore our first inequality. The other inequality is for the volume. The combinations of the two volumes 4 and 9 cubic feet should not exceed 400 cubic feet when transported.

If you try to construct the inequality and miss it among the choices, don't worry! Let's try doing some simplifications first and see if it matches either B or C.

After simplification you can get 6x+13y \leq 760 from dividing the equation by 5 and 4x+9y \leq 400 for leaving it as it is.

Looking carefully, we can see that this is equivalent to option B.

ANSWER: B.
7 0
3 years ago
QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.
Nikolay [14]

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

<h3>Compound interest</h3>

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

A = 10000(1+0.04/4)^4(6)

A = 10000(1+0.01)^24

A = 10000(1.01)^24

A = 1.2697(10,000)

A = $12,697

Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

7 0
2 years ago
WILL GIVE BRANLIEST HELP PLEASE!
allochka39001 [22]

I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.

So 120 + 25 = 145

So I guess 145 would be your answer.

I remembered this type of problem from Geometry.

3 0
2 years ago
The coordinate of A is -3, and the coordinate of B is 0.5  Find AB ..please explain answer 
vesna_86 [32]
A = (-3)
B = (0.5)

|AB| = |0.5 - (-3)| = |0.5 + 3| = |3.5| = 3.5
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2 years ago
How many deciliter are equivalent to 5 cups
notsponge [240]

Answer:

11.8294Step-by-step explanation:

8 0
3 years ago
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