What two numbers multiply to equal 50 and add up to equal -15

The two numbers are 5,10. Which is multiply to equal 50 and add up to equal 15.

Step-by-step explanation:

Step:1

      Let, X,Y.

      Where X, Y are two numbers.

Step:2

      Form the Multiplication equation from given,

     X×Y=50         (∵ Multiply to equal 50)

Step:3

      Form Addition equation from given,

      X+Y= 15        (∵ Add equal to 15)

Step:4

      Check for alternatives to satisfy both equations

     Assume, X=1, Y=14

     1+14=15 (Satisfy addition equation)

     1×14=14 (Not satisfy multiplication equation)

     Assume, X=2, Y=13

     2+13=15  (Satisfy addition equation)

     2×13=26 (Not satisfy multiplication equation)

similarly.,

    assume X=5, Y=10

    5+10=15   (Satisfy addition equation)    

    5×10=50  (Satisfy multiplication equation)

So, the two numbers are 5,10.

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step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°