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DaniilM [7]
3 years ago
10

How many solutions does the system 2y=10x-14 and 5x-y=7 have? need worked out step by step please!

Mathematics
2 answers:
solniwko [45]3 years ago
5 0
These 2 equations are actually the same, 
hope u can understand.

VLD [36.1K]3 years ago
3 0
2y=10x-14
5x-y=7

Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation 
5x-5x+7=7
0=0

Therefore there is no solution or it is inconsistent 
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The area of a circle is 49 cm2. Find the circumference of the circle.
Nataly_w [17]

~Hello There!~

The formula to find the area of a circle is:

\pi r^{2}

We already know this answer, so we write it as:

\pi r^{2} =49

We need to calculate the radius (r) from this so divide both sides by \pi

r^{2} = 15.59718442

Square root this to get r

r = 3.949327085

The formula for circumference is \pi *d

(d is the diameter )

Double the radius to get the diameter:

d = 7.89865417

Multiply this value by \pi to get the answer

The circumference is 24.81435391

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

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Use trigonometry and triangle congruency rules to find X
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What is the measure of SQ?<br><br> 1. 95<br> 2. 190<br> 3. 265<br> 4. 360
Vesnalui [34]

Answer:

The measure of arc SQ is 95° ⇒ (1)

Step-by-step explanation:

  • The measure of any circle is 360°
  • The measure of the subtended arc to an inscribed angle is twice the measure of this angle

In the given circle

∵ S lies on the circumference of the circle

∴ ∠QSR is an inscribed angle

∵ ∠QSR is subtended by arc QR

→ By using the 2nd rule above

∴ m arc QR = 2 × m∠QSR

∵ m∠QSR = 95°

∴ m arc QR = 2 × 95

∴ m arc QR = 190°

→ By using the 1st rule above

∵ m of the circle = m arc QR + m arc SQ + m arc SR

∵ m arc SR = 75° and m arc QR = 190°

→ Substitute them in the equation above

∴ 360 = 190 + m arc SQ + 75

→ Add the like term in the right side

∴ 360 = 265 + m arc QS

→ Subtract 265 from both sides

∵ 360 - 265 = 265 - 265 + m arc SQ

∴ 95° = m arc SQ

∴ The measure of arc SQ is 95°

7 0
3 years ago
Which ratio is equivalent to 9 : 180?
muminat

Answer:

1: 20

Step-by-step explanation:

9/180 set the problem as a fraction then simplify it.

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What is the rule when finding the sum of numbers from 1-100?
Sphinxa [80]

Answer:

Step-by-step explanation:

Sum of 1 through 100 = 100×(1+100)/2

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