How do I solve this

Mathematics

2 answers:

S_A_V [24]3 years ago

5 0

Answer:

30 hours

Step-by-step explanation:

h- hours worked t-total amount you get

your equation: 5h+130=t

your friend's: 6h+100=t

you worked the same number of hours, so

5h+130=6h+100

-h=-30

h=30

bagirrra123 [75]3 years ago

4 0

Answer:30

5x+130=6x+100

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+130=6x+100

Step 1: Subtract 6x from both sides.

5x+130−6x=6x+100−6x

−x+130=100

Step 2: Subtract 130 from both sides.

−x+130−130=100−130

−x=−30

Step 3: Divide both sides by -1.

−x

−1

−30

−1

x=30

Answer:

x=30

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△ABC is a right triangle with right angle C. Side AC is 6 units longer than side BC . If the hypotenuse has length 52–√ units,

Evgesh-ka [11]

Answer:

AC = 7.12 units

Step-by-step explanation:

A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.

a² + b² = c²

x² + (x+6)² = √52²

x² + x² + 12x + 36 = 52

2x² + 12x - 16 = 0

You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.

The quadratic formula is $x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ .