Answer:
5
Step-by-step explanation:
First, notice that these two triangles are similar using AA.
Because sides BC and EC are corresponding, you can divide 24 by 8, to determine that the ratio of similitude is 3.
That means that because sides AC and DC are corresponding, 25 - 2x divided by x is 3.
25 - 2x / x = 3
25 - 2x = 3x
25 = 5x
x = 5
x is the same as side CD, so CD = 5.
Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
Answer:
$402
Step-by-step explanation:
Interest = principal x rate x time
I = 1500 x .268
I = $402
Angles along a straight line equal 180. This means that the unmarked angle of the triangle is equal to (180-153)=27.
Angles in a triangle add to 180. This means:
(x-4)+(2x+10)+27=180
3x+33=180
3x=147
x=49
Step-by-step explanation:
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