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baherus [9]
3 years ago
9

Please help and also what is the measure of m

Mathematics
2 answers:
Fofino [41]3 years ago
5 0
See attached picture for the answers:

Kobotan [32]3 years ago
5 0
∠MNL=43°
ONP is vertical to MNL 
so ONP =43°
MNL+LNO=180 as linear pair
43+LNO=180
LNO=180-43=137
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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha
xz_007 [3.2K]

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
(r: radius, h: height, πr^2 is the area of the base of the cone, πr\sqrt{h^{2}+r^(2) } is the lateral area of the cone). So:

A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

AL=15\pi \sqrt{30^{2} +15^{2} } ≈ 1580.58 ft^2.

5 0
2 years ago
What is the solution to the system of equations
Arada [10]

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0
2 years ago
Read 2 more answers
A person died leaving property worth rs.4000.40. His widow get 0.125 of the property and his son got 0.4 of the remainder. What
belka [17]

Answer:

Widow's Share = Rs 500.05

Son's share = Rs 1400.14

Step-by-step explanation:

Property = 4000.40

Widow get share = 0.125

So, Share of Widow = 0.125 * 4000.40

Widow's Share = Rs 500.05

Remaining Property = 4000.40 - 500.05

Remaining Property = 3500.35

Son's share = 0.4 * 3500.35

Son's share = Rs 1400.14

6 0
3 years ago
How to add these mixed numbers
krek1111 [17]
Make them into improper fractions
(5*5)+3
(2*3)+2

Final fractions
28/5+8/3
Find a common denominator
Multiply 28/5 by 3
84/15
Multiply 8/3 by 5
40/15

Add - 84+40=124
8 0
3 years ago
Read 2 more answers
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