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Sergio [31]
2 years ago
5

Solve for inequality -6<4x-2≤10

Mathematics
1 answer:
emmasim [6.3K]2 years ago
8 0

Answer:

-1 < x ≤ 3

Step-by-step explanation:

group:

-6 < 4x - 2

4x - 2 ≤ 10

group:

-6 + 2 < (4x-2) + 2

(4x-2) + 2 ≤ 10 + 2

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a. What is the area and circumference of circle P? Explain how you calculated this answer. b. If the arc measure of arc COD is 1
Vikki [24]

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

5 0
3 years ago
What is the value of x in the equation 1/2x - 3/4 = 3/8 - 5/8
Kitty [74]

The answer

x = 1

step by step

\frac{1}{2} x -  \frac{3}{4}  = \frac{3}{8}  -  \frac{5}{8} \\  \frac{1}{2} x = \frac{3}{8}  -  \frac{5}{8} +  \frac{3}{4}  \\  \frac{1}{2} x = \frac{3}{8}  -  \frac{5}{8} +  \frac{6}{8}  \\  \frac{1}{2}x =   \frac{4}{8}  \\  \frac{1}{2} x =  \frac{1}{2}  \\ x = 1

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I'm not going to say the answer because i want you to figure it out.
But here.

For Part A: There are 665 pounds of apples, 35 go in each box. You have to find out how many boxes there will be. How will you break apart 665 by 35? (Division) After that, you got your answer!

Part B: Just write down your answer from Part A.
4 0
2 years ago
Solve the system by substitution.<br> -8x – 7y = -5<br> -x = y
Lapatulllka [165]

Substitute y = -x into the first equation:

-8x - 7(-x) = -5

-8x + 7x = -5

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x = 5

Substitute x = 5 into y = -x

y = -(5)

y = -5

Answer: x = 5, y = -5

6 0
3 years ago
Read 2 more answers
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