Answer:
∠1=54°
∠2=54°
∠3 = 126°
Step-by-step explanation:
We need to find ∠1, 2 and 3
Since a traversal cut parallel lines we would use supplementary angles , congruent angles rules to solve the problem.
Angle 1 and 126 are supplementary angles.
They add up to make 180
So, ∠1 + 126 = 180
∠1 = 180-126
∠1 =54
We get ∠1=54°
Now, ∠1 ≅ ∠2, because they are corresponding angles and if traversal cut parallel lines, corresponding angles are congruent.
So ∠1 ≅ ∠2 therefore, ∠2=54°
Now, for finding measure for ∠3, we know that 126 and ∠4 are corresponding angles and corresponding angles are congruent.
So, ∠4 = 126°
We know that ∠3 and ∠4 are vertical angles.
And if traversal cut parallel lines, vertical angles angles are congruent.
So, ∠3 = 126°
To find the percentage, divide 29 by 45 (29÷45). You should get 0.64444444(so on). Round that to 0.64 and your answer is 64%
Can you please tell us the equations or expressions?
Answer:
The dimensions of the rectangle:
length: 12cm
width: 15 cm
Step-by-step explanation:
The perimeter of a rectangle is:
perimeter = 2(length+width)
54 = 2(a+b)
a = b - 3
a = legth
b = width
then:
54 = 2((b-3)+b)
54/2 = b-3 + b
27 = 2b - 3
27 + 3 = 2b
30 = 2b
b = 30/2
b = 15
a = b-3
a = 15 - 3
a = 12
Check:
54 = 2(15+12)
54 = 2*27
