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Korolek [52]
2 years ago
8

In need help Relationships in Triangles

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

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The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche
serg [7]

Answer:

The measure of the fourth side is \frac{7}{3} .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store =  ( 10 + \frac{5}{6} )  inches

The measure of three sides of rectangle =  ( 8 + \frac{1}{2} )  inches

So, The measure of three sides = length + breadth + length

I,.e   2 L + B =  ( 8 + \frac{1}{2} )  inches      .....1

∵ perimeter =  ( 10 + \frac{5}{6} )  inches

So ,  2 L + 2 B = ( 10 + \frac{5}{6} )  inches

Or,  2 L + B + B = ( 10 + \frac{5}{6} )  inches

Or, ( 8 + \frac{1}{2} ) + B =  ( 10 + \frac{5}{6} )

or, B =  ( 10 + \frac{5}{6} ) -  ( 8 + \frac{1}{2} )

Or, B = 10 - 8 +  (\frac{5}{6} ) -  \frac{1}{2}

or, B = 2 +  \frac{5-3}{6}

or, B = 2 +  \frac{1}{3}

∴   B =  \frac{6 + 1}{3}  =  \frac{7}{3}

Hence The measure of the fourth side is \frac{7}{3} . Answer

7 0
3 years ago
What is the solution of the equation 17 = 3x − 4?
pogonyaev

Answer:

<em>x = 7</em>

Step-by-step explanation:

Simplifying

17 = 3X + -4

Reorder the terms:

17 = -4 + 3X

Solving

17 = -4 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

17 + -3X = -4 + 3X + -3X

Combine like terms: 3X + -3X = 0

17 + -3X = -4 + 0

17 + -3X = -4

Add '-17' to each side of the equation.

17 + -17 + -3X = -4 + -17

Combine like terms: 17 + -17 = 0

0 + -3X = -4 + -17

-3X = -4 + -17

Combine like terms: -4 + -17 = -21

-3X = -21

Divide each side by '-3'.

X = 7

Simplifying

X = 7

3 0
3 years ago
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