Answer:
<h3>18°</h3>
Step-by-step explanation:
See the diagram attached:
In a triangle, the sum of interior angles is equal to the exterior angle.
According the diagram, the sum of interior angles is given as:
Sum of interior = <FDE+<DEF
Given
<FDE = 2x+4
<DEF = 3x+5
Sum of interior = 2x+4+3x+5
Sum of interior = 5x+9
Exterior angle = <EFG = 7x-5
Equate the interior to the exterior and calculate the value of x:
5x+9 = 7x-5
Collect like terms
5x-7x = -5-9
-2x = -14
x = -14/-2
x = 7
Next is to get <FDE:
<FDE = 2x+4
<FDE = 2(7)+4
<FDE = 14+4
<FDE = 18°
Hence the measure of <FDE is 18°
From the given figure,
the length of segment SP is 5 - 1 = 4,
the length of segment SR is 8 - 1 = 7,
the length of segment QR is 5 - 1 = 4,
the length of segment PQ is 8 - 1 = 7.
The length of segment MJ is 4 - 1 = 3,
the length of segment ML is 8 - 4 = 4
the length of segment KL is 4 - 1 = 3
the length of segment JK is 8 - 4 = 4
<span>segment SP to segment SR is 4 : 7
</span><span>segment MJ to segment ML is 3 : 4
</span>
<span>segment PQ to segment QR is 7 : 4
</span>segment JK to segment KL is 4 : 3
Because the ratio of any corresponding segments of the two rectangles to another segment is not equal, the two rectangles are not similar.
Therefore, the correct statement is "<span>The two tiles are not similar because segment PQ is to segment QR is 7:4 and segment JK is to segment KL is 4:3"</span>
Answer:
69,286,455 cu inches
Step-by-step explanation:
<u>Step 1: Convert yards to inches</u>
1 cu yard = 46656 cu inches
11 cu yard = y cu inches
<em>Cross multiply</em>
y = 11 x 46656
y = 513216 cu inches
<u>Step 2: Find total inches</u>
513216 + 17 = 513233 cu inches
<u>Step 3: Multiply total inches by 135</u>
513233 x 135 = 69,286,455 cu inches
!!
Answer:
19, 21, and 23.
Step-by-step explanation:
13................Answer:
Step-by-step explanation:
