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Elina [12.6K]
3 years ago
7

Angle TUW measure (10x – 7)° and angle VUW measures (5x + 13)°. Find the measure of angle TUV

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:66

Step-by-step explanation:

The first thing we should know is that a kite has two pairs of adjacent congruent sides, so to find the value of x we are going to set the equations equal to each other.                  The value of x is 4. After, plugging the value of x into the equations the measure of both angles is 33. Angle TUV is made up of angles TUW, and VUW because of the measure of angle TUV is 66.

10x-7=5x+13

5x=20

x=4    

10(4)-7=33

5(4)+13=33

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Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of
fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>

Step-by-step explanation:

Given :  the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Since, given the difference of the squares of the numbers is 5 that is (x^2-y^2)^2=5

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Using identity, we have,

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(x^2+y^2)^2=25+144

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