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sergij07 [2.7K]
3 years ago
11

Solve (x 2 < 5) ∩ (x - 7 > -6).

Mathematics
1 answer:
Blababa [14]3 years ago
5 0
X + 2 < 5 and x - 7 > -6
x < 5 - 2 and x > -6 + 7
x < 3 and x > 1

Therefore, solutin is {x | 1 < x < 3}
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I need help... ASAP please
qwelly [4]

Answer:

B

Step-by-step explanation:

because it explains what the graph shows

7 0
3 years ago
What is 18.390 centimeters converted to millimeters
bogdanovich [222]
183.9 millimeters is the answer
7 0
3 years ago
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Number 11 please , someone? Thank you .
KIM [24]
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

9x - 7 + 7x - 9 + 28 - 2x = 180

Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

14x + 12 = 180

Subtract 12 from both sides.

14x = 168

x = 12

Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4

(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC
8 0
3 years ago
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 pe
marishachu [46]

Answer:

Option B is right

Step-by-step explanation:

Given that in the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older.

                      Males              Females

                        48%                    52%

25 or more

age                  40%                     20%

One student in the class is randomly selected,

to find the probability that he or she will be less than 25 years old

= Prob (male and less than 25 years old)+Prob (female and less than 25 years old)

(since mutually exclusive and exhaustive)

= 0.48(1-0.4) + 0.52(1-0.20)\\= 0.288+ 0.416\\= 0.704\\

After rounding off to 1 one decimal

we get 0.7

Option B is right

8 0
4 years ago
Which is the smallest ratio? 3 to 4, 2/3, 10:12, 2 to 1
valentinak56 [21]
10:12 is the smallest ratio
5 0
3 years ago
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