Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements
Reason
1.
║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK
2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL
3. Vertically opposite angles
4.
≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ
5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines
and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines
and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK
in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
Answer:
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
Step-by-step explanation:
Let
x ----> represent the number of home runs Lu hit
y ---> represent the number of home runs Karrine hit
we know that
Together they hit 10 home runs
so
----> equation A
Karrine hit 4 more home runs than half the number of home runs Lu hit
so
---> equation B
substitute equation B in equation A

solve for x


Find the value of y

therefore
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
Answer:
Complementary
Step-by-step explanation:
Complementary Angles add up to 90°
Supplementary Angles add up to 180°
60 + 30 = 90
Answer:
60ft/s
Step-by-step explanation:
To find the rate
rate = f(3) - f(0)
-------------
3-0
rate = 200-380
---------------
3-0
rate = -180/3 = -60 ft/s
The negative tells us it is falling
The fall falls 60ft/s
Answer:
Therefore,

Step-by-step explanation:
Given:
In ΔABC, BC=4 cm,
angle b=angle c, and
angle a=20°
To Find:;
AC = ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.

We know in a Triangle Sine Rule Says that,
In Δ ABC,

substituting the given values we get


Therefore,
