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Korvikt [17]
3 years ago
13

If ∠C ≅ ∠​M, ∠E ≅ ∠​Q, ≅ , ≅ , and ≅ , then _____ ≅ ∆MQN

Mathematics
1 answer:
sashaice [31]3 years ago
6 0
Then angle MQN is <span>≅  angle MQN</span> 
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Undersea explorers discover a second sentient race living on Earth. This species is scientifically much more advanced but cannot
Pavel [41]

Answer:

  46 cm

Step-by-step explanation:

Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...

  12p +2k = 100

  10p +10k = 100

Subtracting the second equation from 5 times the first, we get ...

  5(12p +2k) -(10p +10k) = 5(100) -(100)

  50p = 400

  p = 8 . . . . cm

Then the second equation tells us ...

  10(8) +10k = 100

  10k = 20

  k = 2 . . . . cm

Then 5p+3k = 5(8) +3(2) = 46 cm.

The distance 5 bap'ai and 3 bok'ai is 46 cm.

8 0
3 years ago
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0
3 years ago
Determine the volume of a sphere with a radius of 0.84 inch.
ELEN [110]

Answer:

D. 2.48 in³.

Step-by-step explanation:

6 0
2 years ago
Plz help me thank you
murzikaleks [220]
Slope intercept form is y = mx + b where m is slope and b is y intercept.

The line crosses the y axis at y = 4

The slope is 4/3

So the answer is y = (4x/3) + 4


5 0
3 years ago
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