Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
The total amount will be
total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
total = 256.54 L
31.62
You use pythagorean theorem so 30 is legA and 10 is legB so 20^2+10^2= square root legC which is 31.62
Answer:
Step-by-step explanation:
From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points
and
is given by,
d = 
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD = 
CD = 
= 
Length of GH having ends G(0, -4) and H(4, -5) will be,
GH = 
= 
= 
Therefore, m(CD) = m(GH)
Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.
Answer:
2500000000
Step-by-step explanation:
→ Multiply 1 by 25000
1 × 25000 = 25000
→ Convert into metres
2500000
→ Convert into centimetres
2500000000