Answer:
4.2mm
Step-by-step explanation:
This are two similar triangles.
Comparing the two:
8/3 = (7+x)/x
Cross multiplying
8x = 3 (7+x)
8x = 21 + 3x
8x - 3x = 21
5x = 21
Dividing by 5
X = 21/5
X = 4.2mm
Step-by-step explanation:
-7x + 2y = 18
6x + 6y = 0
21x - 6y = - 54
6x + 6y = 0
27x = -54
x = -2
6(-2) + 6y = 0
-12 + 6y = 0
6y = 12
y = 2
(-2,2)
Answer:
Segment A B and Segment Z W
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Sides C D and Y X are congruent,
sides C B and Y Z are congruent,
sides Z W and A B are congruent,
sides A D and X W are congruent
so
ABCD≅WZYX
The corresponding sides are
AB and WZ
BC and ZY
CD and YX
AD and WX
That means
AB ≅ WZ
BC ≅ ZY
CD≅ YX
AD ≅ WX
The corresponding angles are
∠A and ∠W
∠B and ∠Z
∠C and ∠Y
∠D and ∠X
That means
∠A ≅ ∠W
∠B ≅ ∠Z
∠C ≅ ∠Y
∠D ≅ ∠X
therefore
The answer is
Segment A B and Segment Z W
Answer:
3:2:25
Step-by-step explanation:
ratio=
12:8:100
6:4:50
3:2:25
Alright
for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2
so LM=x√2 is right
NM=x
also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1
so that would be tan(45)=1
so you want to check the 1st one, 3rd one and 5th one
NM=x
LM=x√2
tan(45°)=1 are the answers