Answer:
Option A.
Step-by-step explanation:
step 1
Find the value of x
we know that
If AB is a mid-segment, then AB is parallel to YZ
so
Triangles AXB and YXZ are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
we have that
----> by Midpoint Theorem
substitute the given values in the expression above
solve for x
Multiply by (2x+2) both sides
Group terms
step 2
Find the length of AB
substitute the value of x
Answer:
12
Step-by-step explanation:
all the rest of the numbers are odd numbers while 12 is an even number.
Answer:
24, 204
Step-by-step explanation:
to find the height
we would use the heron formula when all the sides are given
S which is equal to half of the perimeter of the triangle which is (a+b+c)/2.
S = (17+ 25+ 26)/2 = 68/2 = 34
Area = √S(S-A)(S-B)(S-C)
Area= (1/2)bh
we equate it back to the formula Area = √S(S-A)(S-B)(S-C)
it becomes
(1/2)bh = √S(S-A)(S-B)(S-C)
A = IABI= 25
B= IBCIM = 26
C= IACI = 17
b = base = IACI = 17
S = 34
(1/2)bh = √S(S-A)(S-B)(S-C)
(1/2)17h = √34(34-25)(34-26)(34-17)
(17/2)h = √34(9)(8)(17) = √34 x 9 x 8 x 17
(17/2)h = √41616 = 204
17h/2 = 204
17h = 204 x 2 = 408
h = 408/17 = 24 inch
height = h = IBDI = 24 in
Area = (1/2)bh
= (1/2) x 17 x 24
= 12 x 17 = 204 or we use the heron formula just like the above which we get 204 before multiplication by 2.
Answer:
Step-by-step explanation:
<h2>1</h2>
<h2>2</h2>
<h2>3</h2>
<h2>4</h2>
Answer:
(8,-1)
Step-by-step explanation:
(3,-4) +(5,3)
(8,-1)