20=5z-13
z=???

-9+2x=-4
x=

z = 33/5 or 6.6

x = 5/2 or 2.5

Step-by-step explanation:

20 = 5z - 13

Add 13 to both sides.

5z = 33

Divide both sides by 5.

z = 33/5 or 6.6

-9 + 2x = -4

Add 9 to both sides.

2x = 5

Divide both sides by 2.

x = 5/2 or 2.5

a)20+13=5z

33=5z

33/5=z

6.6=z

b)2x=-4+9

2x=5

x=5/2

x=2.5

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

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°