Can someone please help me!?!

-25 and -4

Step-by-step explanation:

to solve this, you need to use the sum product pattern. this means you're going to take the x factor, 29x and separate it into it's squares.

(x^2+25x)+(4x+100)

then you take out the common factor in each separated equation

x(x+25)+4(x+25)

you see that the items in the parentheses are the same, this means that this is one of the equations you will use when factoring. the rest of the equation that is left out (the common factors) is the other equation

(x+25)(x+4)

to get the zeroes, you set each equation equal to zero and solve

x+25=0           x+4=0

x= -25             x= -4

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°