Decide whether each statement in Exercises 1-5 is true or false. If the statement is false, tell why.
1. The point (-1,3) lies in quadrant III of the rectangular coordinate system.
2. The distance from (x1, yı) to (X2, y2) is given by the expression
V(x - y)2 + (x2 - y2).
3. The distance from the origin to the point (a, b) is Va? + b2.
4. The midpoint of the segment joining (a, b) and (3a, – 3b) has coordinates (2a, - b).
5. The graph of y = 2x + 4 has x-intercept – 2 and y-intercept 4.

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate

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°

the answer is a and d