3 years ago

What is the measure of angle CED?

Mathematics

2 answers:

kirill115 [55]3 years ago

7 0

Answer:

y, because ΔABC is similar to ΔEDC

Step-by-step explanation:

∠B= ∠D = 65 {Given}

∠ACB = ∠ECD {Vetically opposite angles}

Therefore, ∠E = ∠A

∠E = y

jolli1 [7]3 years ago

3 0

Answer:

y, because ΔABC is similar to ΔEDC

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3 years ago

Calculate the distance between (4,9) and (-2,6) using the distance formula.

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Answer:

$\large\boxed{d=3\sqrt5}$

Step-by-step explanation:

$\text{the formula of a distance between two points}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2):\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=========================\\\\\text{We have}\ (4,\ 9)\ \text{and}\ (-2,\ 6).\ \text{Substitute:}\\\\d=\sqrt{(-2-4)^2+(6-9)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}\\\\\sqrt{45}=\sqrt{9\cdot5}=\sqrt9\cdot\sqrt5=3\sqrt5$