Area of the entire rectangle 
Solution:
Area of the blue box = length × width
Area of the blue box 
Area of the pink box = length × width
Area of the pink box 
Area of the green box = length × width
Area of the green box 
Area of the orange box = length × width
Area of the orange box = 24
Total area of the rectangle 
Area of the entire rectangle
Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
brainly.com/question/27033529
#SPJ1
Answer:
9,765 cm
Step-by-step explanation:
We'll solve out the measurements for triangle ABC then it will be easy to figure out x
For triangle ABC, we have
Angle B = 90 degrees.
Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).
Angle C = 180 - 90 - 38 = 52 degrees.
To find the measurement of the BC line, which we label a, we know that
So, we can isolate the a to get:
Now we know the segment BC is 19.53 cm.
And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.
So, CD is half of BC.... so 19.53 / 2 = 9.765 cm
Answer:
54
Step-by-step explanation:
The two angles add to 90 degrees since they are complementary
the ratio is 3:2
Multiply by x
3x:2x
Add them together and set equal to 90
3x+2x=90
5x=90
Divide each side by 5
5x/5 = 90/5
x = 18
The first angle is 3*18 = 54
The second angle is 2*18 = 36
Answer:
d = 10.8167
Step-by-step explanation:
The distance between two points can be easily found by using the following expression
d = √((x1-x2)^2 + (y1-y2)^2)
where
(x1,y1) = (6,-4)
(x2,y2) = (0,5)
d = √((6-0)^2 + (-4-5)^2)
d = √(36 + 81)
d = √(117)
d = 10.8167
