Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. 
⊥ 
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and m∠SWT = 90°, therefore, the lines and are perpendicular to each other.
Answer:
Microscopes cost $44 and Dissection Kits cost $11
Step-by-step explanation:
Using the information given, we can make the system of equations:
30x+48y=1848
x represents the price of microscopes and y represents the price of dissection kits.
We also know that microscopes will be 4x the price of dissection kits. Therefor:
x=4y
We can plug these two equations together to find the answer.
30(4y)+48y=1848
120y+48y=1848
168y=1848
y=11
Using the y-value, can find the x-value.
x=4(11)
x=44
Answer:
The answer to this question is 1.5 cups per containers.
Step-by-step explanation:
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Step-by-step explanation:
The congruence statement is correct as KL = KR, LM = RQ and MK = QK. Also all the congruent angles correspond to the respective letters.
