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Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

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Step-by-step explanation:

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What is the measure of the smallest angle in the diagram?

Hunter-Best [27]

Answer:

The measure of the smallest angle is $m\angle FLI=29^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

$m\angle FLI=m\angle\ FLG+m\angle GLH+m\angle HLI$ ---> by Angle Addition Postulate

substitute the given values

$106^o=(2x-1)^o+(x+17)^o+(4x-15)^o$

solve for x

$106^o=(7x+1)^o$

$7x=106-1\\7x=105\\x=15$

Find the measure of each angle

substitute the value of x

$m\angle FLI=(2(15)-1)=29^o\\m\angle GLH=(15+17)=32^o\\m\angle HLI=(4(15)-15)=45^o$

therefore

The measure of the smallest angle is $m\angle FLI$

7 0

4 years ago

Read 2 more answers

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and

timurjin [86]

15x+13y> 3,000
Step-by-step explanation:
We know that the floor ticket cost 15$ and the balcony cost 12$ so we put that in an inequality with their given variables. We also know they want to make more than 3,000 so it is a greater than symbol.

5 0

3 years ago

The area of a square is given by the expression square inches. Find an expression that represents the length of one side of the

Verizon [17]

Answer:

A. x-6

Step-by-step explanation:

The area of a square is given by the expression $x^2-12x+36$ square inches. Now we need to find an expression that represents the length of one side of the square, in inches. To do that we need to factor $x^2-12x+36$ .