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Iteru [2.4K]
3 years ago
10

3 points

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

a) The measure of the base angle is  30°.

Step-by-step explanation:

The angle formed by the vertex of two equal sides in an isosceles triangle is called a VERTEX ANGLE.

Also, the other two base angles are equals they are opposite to equal sides.

Now, let us assume that the base angle = a

So, by ANGLE SUM PROPERTY:

Sum of all angles of  triangle = 180°

⇒ 120° + a  +  a = 180°

or, 2 a = 180 -120  = 60°

or, a   = 60/2  = 30°

or, a  = 30°

Hence, the measure of the base angle is  30°.

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If P(A)=0.6, P(B)=0.3, and P(A and B)=0.18, find P(A or B).
Marianna [84]

Answer:

The value of P(AUB) = 0.72

Step-by-step explanation:

As

  • P(A) = 0.6
  • P(B) = 0.3
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We can determine the value of P(A∩B) Using the formula

P(AUB) = P(A) + P(B) - P(A∩B)

            = 0.6 + 0.3 - 0.18

             = 0.72

Therefore, the value of P(AUB) = 0.72

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3 years ago
The scale on a map is 1 inch per 150 miles. The map shows the town of Bluebell is 3.5 inches away
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Answer:

525

Step-by-step explanation:

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3 years ago
Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5
galina1969 [7]

Answer:

(5,2) and (5,10)

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

points\ (2,6),(5,y)\\d=5

substitute in the formula

5=\sqrt{(y-6)^{2}+(5-2)^{2}}

solve for y

5=\sqrt{(y-6)^{2}+(3)^{2}}

5=\sqrt{(y-6)^{2}+9}

square both sides

25=(y-6)^{2}+9

(y-6)^{2}=25-9

(y-6)^{2}=16

square root both sides

y-6=\pm4

y=6\pm4

y=6+4=10

y=6-4=2

therefore

The points are

(5,2) and (5,10)

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Point C is on the graph of the function y = x2 – 3. Its x-coordinate is 4. Which ordered pair gives the location of point C? A.(
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Answer:

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Step-by-step explanation:

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You then solve to y = 8 - 3

then 8 - 3 is 5.

Making the coordinates (4, 5) and in this case with the answers (4, 2+3)

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