Answer:
Given statement is TRUE.
Step-by-step explanation:
Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.
We know that corresponding angles formed by transversal line are congruent.
Hence ∠JKL = ∠ MLK ...(i)
Now consider triangles JKL and MLK
JK = LM {Given}
∠JKL = ∠ MLK { Using (i) }
KL = KL {common sides}
Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.
Hence given statement is TRUE.
Answer:
The volume of the similar prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so
In this problem we have
-----> the scale factor
substitute and solve for x
Answer:
y + 5 = (3/2)(x - 4)
Step-by-step explanation:
The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:
y + 5 = (3/2)(x - 4)
Answer:
A is spanned by vector.
Step-by-step explanation:
The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.
Answer:
5
Step-by-step explanation:
