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alexandr402 [8]
3 years ago
7

Solve for x in this circle.

Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

Step-by-step explanation:

7*(7 + x+1) = 6*(x + 5 + 6)       {Intersecting secant theorem}

7 *(x + 8) = 6*(x + 11)

Distributive property,

7x + 56   = 6x + 66

Subtract 56 from both sides

7x = 6x + 66 - 56

7x = 6x + 10

Subtract 6x from both sides

7x - 6x = 10

x = 10

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aleksandr82 [10.1K]

Answer:

$3.70/5 is .74 per can

$6.30/10 is .63 per can

So sams club is a better buy by 11 cents per can.

Step-by-step explanation:

4 0
4 years ago
Find the area of the shaded sector of the circle
sweet-ann [11.9K]

Answer:

119.78 square m.

Step-by-step explanation:

d = 28 \: m \implies \: r = 14 \: m \\ central \:  \angle \:( \theta)  \\ = 180 \:degree - 110 \degree \\  = 70 \degree \\  \\ area \: of \: sector  \\ =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\ \\   =  \frac{70 \degree}{360 \degree}  \times  \frac{22}{7}   \times {14}^{2}  \\  \\  = \frac{7}{36}  \times  \frac{22}{7}   \times 196 \\  \\  = \frac{7}{36}  \times  \frac{22}{1}   \times 28 \\ \\  = \frac{7}{9}  \times  22   \times 7 \\  \\  =  \frac{1078}{9}  \\  \\  = 119.777778 \\  \\  = 119.78 \:  {m}^{2}  \\

3 0
4 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent
jeyben [28]

Answer:

SAS

Step-by-step explanation:

GIVEN: BD=AC

angle BAD= angle ADC because they are both 90 degrees.

AB=DC because both are right triangles

4 0
3 years ago
Which two numbers have a mean of 10 and a range of 4?
Gemiola [76]

the answer would be 12 and 8

5 0
3 years ago
Can somebody help with number 4 asap please
Mars2501 [29]

Answer:

x ≈ 41

Step-by-step explanation:

All the angles in a quadrilateral add together to equal 360°

So set up the equation:

a + b + c + d = 360°

Now fill in the values we know:

x + _ + 4x + 2x - 10 + 85 = 360

7x + 75 = 360

Now subtract both sides by 75:

7x + 75 - 75 = 360 - 75

7x = 285

Divide both sides by 7:

7x / 7 = 285 / 7

x = 40.714

Round:

x = 41

Now to check our answer, substitute 41 for x in the equation:

(41) + _ + 4(41) + 2(41) - 10 + 85

(41) + 164 + 82 - 10 + 85 = 362

The answer is close to 360, so we know it is correct

6 0
3 years ago
Read 2 more answers
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