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GrogVix [38]
3 years ago
15

Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

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-1/3 -(-5/12) which shows an equivalent addition expression
dem82 [27]

Answer:

-1/3 - (-5/12) = 1/12.

Step-by-step explanation:

Simpler equation:

6/12 + (-5/12) = 1/12

Or This:

6/12 - 5/12 = 1/12.

hope this helped.

5 0
2 years ago
tank contains 20002000 liters​ (L) of a solution consisting of 112112 kg of salt dissolved in water. Pure water is pumped into t
Ganezh [65]

Answer:

Answer:

t ≅ 5.09 min

Step-by-step explanation:

we have that if in 4000 L/sol there is 132 kg salt and the pumping speed is 12L/s, we must find how much of salt is pumping per second and then find the amount of salt remaining

12L/s*132kg salt/4000L = 0.396 Kg salt/s,  this means that 0.396 kg per second comes out , It should be found that the amount of salt must be drained so that only 11 kg of salt remain

132kg salt - 11 kg salt = 121 kg salt, so

121Kg salt*s/0.396Kg salt ≅ 305.55 s ⇒ 305.55s*min/60s ≅ 5.09 min

Step-by-step explanation:

6 0
3 years ago
What does X equal 9.6x − 15.4 = −4.4x − 11.2 A.) x = 0.3 B.)x=−0.3 C.) x = −3 D.) x = 3
sweet [91]

The answer is A) x=0.3

Step-by-step explanation:

Move all terms containing xx to the left side of the equation.

14x−15.4=−11.2

Move all terms not containing x to the right side of the equation.

14x=4.214x=4.2

Divide each term by 14 and simplify

x=0.3

3 0
3 years ago
What to numbers can go into 72 and 45
ratelena [41]

Answer:

3 and 9

Step-by-step explanation:

3 * 24 = 72

9 * 8 = 72

3 * 15 = 45

9 * 5 = 45

8 0
3 years ago
Read 2 more answers
Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6
ELEN [110]

Answer:

\boxed{ \mathrm{y = \ negative \  3 x + 3}}

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

<u><em>Finding slope of the line</em></u>

Slope = \frac{rise}{run} = \frac{y2-y1}{x2-x1}

Slope = \frac{6-0}{-8+6}

Slope =\frac{6}{-2}

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

7 0
3 years ago
Read 2 more answers
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