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irina1246 [14]
2 years ago
14

What is the measure of ∠NMP?

Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

∠NMP = 360 - 95 - 112 - 90 = 63°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

∠NOP = 90°

Therefore, ∠NMP = 360 - (95 + 112 + 90) = 63°

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The 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find
Viktor [21]

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

Learn more about geometric progression here:

brainly.com/question/24643676

#SPJ4

Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

6 0
1 year ago
Read 2 more answers
Can you help me out please
Reptile [31]

Answer:

i belive it is the 3rd on

Step-by-step explanation:

sorry if wrong

7 0
3 years ago
PLEASE HELP!! find the value of x. attached image.
slamgirl [31]

Answer:

x     =   4.712145

Step-by-step explanation:

Given a=20 and b=28,

c = 4√74 = 34.409301068171

∠α = 35.538° = 35°32'16" = 0.62025 rad

∠β = 54.462° = 54°27'44" = 0.95055 rad

Area = 280

Perimeter = 82.409301068171

<h2><u>_____________________________________</u></h2>

Let's solve your equation step-by-step.

9x−8=34.409301

Step 1: Add 8 to both sides.

9x−8+8=34.409301+8

9x=42.409301

Step 2: Divide both sides by 9.

\frac{9x}{9} =\frac{42.409301}{9}

x=4.712145

<h2>Answer:</h2><h2>x=4.712145</h2>

4 0
2 years ago
If f(x) = -x2 + 6x, what is f(-3)?
Sever21 [200]

Answer:

-12

Step-by-step explanation:

f(-3)= -(-3)2 + 6(-3)

= -(-6) -18

= 6 - 18

= - 12

8 0
3 years ago
Square root of 32 x square root of 1 over 18
lisov135 [29]
<h3>Solution:</h3>

\sqrt{32}  \times  \sqrt{ \frac{1}{18} }  \\  =  \sqrt{32}  \times  \frac{ \sqrt{1} }{ \sqrt{18} }  \\  =  \sqrt{32}  \times  \frac{1}{ \sqrt{18} }  \\  =  \frac{\sqrt{2 \times 2 \times 2 \times 2 \times 2}}{ \sqrt{2 \times 3 \times 3} }   \\  =  \frac{ \sqrt{ {2}^{2}  \times  {2}^{2}  \times 2} }{ \sqrt{2 \times  {3}^{2} } }  \\  =  \frac{2 \times 2 \times  \sqrt{2} }{3 \times  \sqrt{2} }  \\  =  \frac{4 \times  \sqrt{2} }{3 \times  \sqrt{2} }  \\  =  \frac{4}{3}

<h3>Answer:</h3>

\frac{4}{3}

<h3>Hope it helps...</h3>

ray4918 here to help

7 0
2 years ago
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