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lisov135 [29]
3 years ago
5

What is the first consecutive even integer that follows -12?

Mathematics
1 answer:
artcher [175]3 years ago
6 0
The first consecutive even integer that follows-12 it's either B or A
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Find the base of a parallelogram with a slant height of 7cm and an perimeter of 63 cm2
vlada-n [284]

Base of parallelogram b = 24.5 cm

Step-by-step explanation:

We are given:

Perimeter =P= 63 cm^2

Slant Height =a= 7 cm

Base of Parallelogram =b= ?

The formula used is:

Perimeter = 2(a+b)

where a is height and b is base

Putting values:

Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5

So, Base of parallelogram b = 24.5 cm

Keywords: Perimeter of Parallelogram

Learn more about Perimeter of Parallelogram at:

  • brainly.com/question/6594923
  • brainly.com/question/1822996
  • brainly.com/question/6594923

#learnwithBrainly

5 0
4 years ago
Drag each value or expression to the correct location on the equations and sentences. Each value and expression can be used more
Nadusha1986 [10]

That is the answer to your question.

7 0
3 years ago
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borishaifa [10]

Answer:

were born

Step-by-step explanation:

not every person was born with a silver spoon in his or her mouth.

5 0
3 years ago
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
cestrela7 [59]

Answer:

P(E_1 or E_2) = \frac{7}{12}

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let C_r represent the Red cube

C_b represent the Blue cube

S represent the sample space

C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)S is gotten by getting the sum of C_r and C_b

n(S) = 36

<em>Calculating the Probability</em>

Let E_1 represent the event that an outcome is an odd sum

E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)

n(E_1) = 18

P(E_1) = \frac{n(E_1)}{n(S)}

P(E_1) = \frac{18}{36}

Let E_2 represent the event that an outcome is a multiple of 5

E_2 = (5,5,5,5,10,10,10)

n(E_2) = 7

P(E_2) = \frac{n(E_2)}{n(S)}

P(E_2) = \frac{7}{36}

Let E_3 represent the event that an outcome is an odd sum and a multiple of 5

E_3 = E_1 and E_2

E_3 = (5,5,5,5)

n(E_3) = 4

P(E_3) = \frac{n(E_3)}{n(S)}

P(E_3) = \frac{4}{36}

Calculating P(E_1 or E_2)

P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)

P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)

P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}

P(E_1 or E_2) = \frac{18 + 7 - 4}{36}

P(E_1 or E_2) = \frac{21}{36}

P(E_1 or E_2) = \frac{7}{12}

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is \frac{7}{12}

6 0
3 years ago
Find the measure of two supplementary angles, C and D, if C=6x-4 and D=4x+9
Anastaziya [24]

Answer:

x = 17.5 mm

Step-by-step explanation:

Supplementary means that two angles adds up to 180 degrees.

If C and D are supplementary, that means that they equal to 180 degrees.

Combine like terms:  6x - 4 + 4 + 4x + 9 - 9 = 180 + 4 - 9

10x / 10 = 175 / 10

x = 17.5

So, x = 17.5 mm

4 0
3 years ago
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