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nadezda [96]
3 years ago
9

1

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

9514 1404 393

Answer:

  x > -5

Step-by-step explanation:

  (2/5)(x -1) < (3/5)(x +1) . . . . . given

  2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5

  2x -2 < 3x +3 . . . . . . . . . . .  eliminate parentheses

  -5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides

This matches the second answer choice: x > -5.

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Find the distance between the two points rounding to the nearest tenth (if
zimovet [89]

Answer:

13

Step-by-step explanation:

=(−3−2)2+(−4−8)2

=(−5)2+(−12)2

=25+144

d=25+144

=√169

=13

6 0
3 years ago
Use the diagram at the right to find the trigonometric ratio​
bulgar [2K]

Answer:

sin C=20/25=4/5

cos C=15/25=3/5

tan C=20/15=4/3

Step-by-step explanation:

sine is opposite/hypotenuse

cosine is adjacent/hypotenuse

tangent is opposite/adjacent

7 0
3 years ago
The manager is checking the results of the customer satisfaction surveys. The ones he has looked at have scores of 79%, 92%, 71%
Vladimir79 [104]

Answer:

97%

Step-by-step explanation:

for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.

so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.

therefore we need to find x

(79 + 92 + 71 + 86 + x) / 5 = 85

as the sum of all numbers divided by the number of measurements is the mean value.

and so,

79 + 92 + 71 + 86 + x = 425

328 + x = 425

x = 97

so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%

7 0
3 years ago
The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.
allsm [11]

Answer:

B = 68°  and  C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

<u>The m∠B is two more than three times the measure of ∠C:</u>

we can write:

B = 3C + 2

<u>If ∠B and ∠C are complementary angles:</u>

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

7 0
3 years ago
Rip van Winkle has fallen asleep for a very long time.
vodka [1.7K]

Answ 2

Step-by-step explanation:

8 0
4 years ago
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