Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be 
and 3 more than would be 
, the equation would be 
. If the perimeter is 56, then the new equation, 
can be formed. This simplifies to 
, then to 
, then to 
, and finally, 
. So the width is 5, and now plug it into the first equation.
, becomes 
, becomes 
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, 
which is correct.
Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:
Statement Reason
1. K is the midpoint of segment JL Given
2. segment JK ≅ segment KL <em>Definition of midpoint</em>
3. <em>L is the midpoint of segment KM</em> Given
4. <em>segment KL ≅ segment LM</em> Definition of midpoint
5. segment JK ≅ segment LM Transitive Property of
Congruence
Explanation:
1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL, the statement follows from the very <em>Definition of midpoint</em>.
2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .
3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .
4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that segment JK ≅ segment LM.
Answer:
1. B
2. B
Step-by-step explanation:
1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:
- points B, C and D;
- points A, C and E.
Thus, option B is true.
2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Answer:
theres nothing there though
Step-by-step explanation:
