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s344n2d4d5 [400]
3 years ago
13

In the diagram below QRS=NMP what is length in inches of MP

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
Mp is congruent to rs
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Troyanec [42]

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Step-by-step explanation:

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In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
What number would you add to both sides of x2 + 7x = 4 to complete the square?
Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0
4 years ago
The sum of two numbers is 53 and the difference is 27. What are the numbers?
ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

----------------

2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

8 0
3 years ago
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