Which postulate or theorem can be used to prove that angle abc is congruent to angle def?

Mathematics

1 answer:

White raven [17]4 years ago

4 0

ASA Postulate (Angle-Side-Angle)

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

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120 students are interviewed.

Dmitrij [34]

Answer:

The probability of selecting a students that drinks sugar free red bull is 0.1

Step-by-step explanation:

In this question, we are concerned with calculating probability that out of the 120 students interviewed, a student chosen at random drinks sugar free red bull.

Mathematically, the probability is = number of students that drinks sugar free red bull/Total number of students interviewed

We know the total number of students interviewed, but we do not know the number of students that drink sugar free red bull.

Now looking at the question, we can see that all the students interviewed has the choice of having only to drinks, monster or red bull.

Since 72 students drink monster, the number of students that take red bull = 120 - 72 = 48

Now from this 48, we have a ratio. The ratio of regular type to sugar free is 3:1. The number taking sugar free is thus 1/4 × 48 = 12 students

The probability of choosing a student that drinks sugar free red bull is thus 12/120 = 1/10 = 0.1

3 0

4 years ago

An investor purchased a house 8 years ago for $48,000 This year it was appraised at $73,500 Complete parts (a) through (d) b

raketka [301]

Answer:

b = $48000, m = $3187.5 / year

Step-by-step explanation:

The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.

Given that V = mt + b:

b = initial price of the house at 0 years = $48000

V = mt + 48000, At 8 years the house is appraised at $73,500

73500 = 8m + 48000

8m = 73500 - 48000

8m = 25500

m = 3187.5

6 0

4 years ago

What is the area of trapezoid ABCD? A(-2,2) B(2,5) C(11,-7) D(1,-2)

Ksenya-84 [330]

Answer:

50 sq. units

Step-by-step explanation:

Join one diagonal of the trapezoid ABCD.

Assume that AC is the diagonal.

So, Area of the trapezoid = Area of Δ ABC + Area of Δ CAD.

Now, coordinates of A(-2,2), B(2,5), C(11,-7) and D(1,-2) are given.

We know, that three vertices of a triangle are $(x_{1},y_{1} )$ , $(x_{2},y_{2} )$ and $(x_{3},y_{3} )$ respectively, then the area of the triangle will be given by