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Ivahew [28]
3 years ago
7

Solve the inequality and graph the solution |7x-7|+2<23

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

|7x-7|+2 < 23\ \ \ \ \ |-2\\\\|7x-7| < 21\iff7x-7 < 21\ \wedge\ 7x+7 > -21\ \ \ \ \ \ |+7\\\\7x < 28\ \wedge\ 7x > -14\ \ \ \ \ \ \ |:7\\\\x < 4\ \wedge\ x > -2\\\\-2 < x < 4

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What is the value of x?
Reika [66]
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides
VT/TK = VY/YK
95.2/168 = 34/YK
YK = (168·34)/95.2 = 60 cm
x = VY + YK = 34 + 60 = 94 cm

7 0
3 years ago
What is the product of − 3/11 and − 2/15? please explain.
emmainna [20.7K]

ANSWER

The product is

\frac{2}{55}

EXPLANATION

To find the product of

-  \frac{3}{11}

and

\frac{ - 2}{15}

means we should multiply the two fractions.

We multiply to obtain,

-  \frac{3}{11}  \times  -  \frac{2}{15}

=  -  \frac{3}{11}  \times  -  \frac{2}{3 \times 5}

Cancel the common factors:

=  -  \frac{1}{11}  \times  -  \frac{2}{5}

Now, multiply the numerators separately and the denominators too separately.

=  \frac{ - 1 \times  - 2}{11 \times 5}

This simplifies to,

= \frac{2}{55}

4 0
3 years ago
If line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b
amm1812

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of -7 our slope because 7 in this step.  In our case our slope is 7 so in this step it becomes -7.

Moving onto the second part which is to get the reciprocal of the number which means that if we have \frac{1}{2} then we would switch it to 2.  In our case our number is -7 so we would make that into a fraction like this -\frac{1}{7}.

In conclusion, our final slope of the perpendicular line is -\frac{1}{7}.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

8 0
2 years ago
Read 2 more answers
In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find the
meriva

Answer:

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Step-by-step explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22

4 0
2 years ago
How many tenths would you need to make the number 17
tatyana61 [14]
You would need one because you arent yet to 20 so it takes one tenth for example;

1.7 or 7/10

Thats my guess tho man if it is more complicated than that, SORRRYYYY
6 0
3 years ago
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