1250+27.50x=1400+20x

Mathematics

1 answer:

never [62]2 years ago

5 0

Answer:

x = 20

Step-by-step explanation:

Simplifying

1250 + 27.50x = 1400 + 20x

Solving

1250 + 27.50x = 1400 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.

1250 + 27.50x + -20x = 1400 + 20x + -20x

Combine like terms: 27.50x + -20x = 7.5x

1250 + 7.5x = 1400 + 20x + -20x

Combine like terms: 20x + -20x = 0

1250 + 7.5x = 1400 + 0

1250 + 7.5x = 1400

Add '-1250' to each side of the equation.

1250 + -1250 + 7.5x = 1400 + -1250

Combine like terms: 1250 + -1250 = 0

0 + 7.5x = 1400 + -1250

7.5x = 1400 + -1250

Combine like terms: 1400 + -1250 = 150

7.5x = 150

Divide each side by '7.5'.

x = 20

Simplifying

x = 20

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<u>Complete Question</u>

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

|ST|=|UT| =6 Units

|RS|=|RQ|=5 Units

(b)From the above, TU ≅ TS

(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units