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il63 [147K]
3 years ago
7

Given: <B and <D are right angles;C is the midpoint of BD.Prove:ΔABC =ΔEDC​

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Step-by-step explanation:

Statements Reasons

In \triangle ^{s} ABC and EDC

1.\angle \: ABC =  \angle \: CDF [ A ] Both are 90° [ Given }

2. BC = CD [ S ] C is the midpoint of BD [ Given ]

3. \angle \: BAC =  \angle \: CED [ A ] Alternate angles

4. \triangle ABC \cong \triangle \: EDC \: By AAS axiom

Hence Proved !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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3 years ago
1) 3 (x - y)² - 10 (x-y) + 8​
katovenus [111]

Answer:

(3x-3y-4)(x-y-2)

Step-by-step explanation:

Given expression:

3(x-y)^2-10(x-y)+8

Let u = (x - y):

\implies 3u^2-10u+8

To factor a quadratic in the form  ax^2+bx+c  find two numbers that multiply to ac and sum to b:

\implies ac=3 \cdot 8=24

\implies b=-10

Therefore, the numbers are: -6 and -4.

Rewrite b as the sum of these two numbers:

\implies 3u^2-6u-4u+8

Factor the first two terms and the last two terms separately:

\implies 3u(u-2)-4(u-2)

Factor out the common term (u - 2):

\implies (3u-4)(u-2)

Substitute back in u = (x - y):

\implies (3(x-y)-4)((x-y)-2)

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3 0
2 years ago
Given f(x) = x3 + 8, find the value of x when f(x) = 0.
77julia77 [94]

The value of x is -2 when f(x) = 0

Step-by-step explanation:

In any function f(x) = y

  • x is the input
  • y is the output
  • If f(x) = 2 x + 3, then f(a) = b means when you substitute x by a the value of y = b

∵ f(x) = x³ + 8

To find value of x when f(x) = 0, substitute f(x) in the equation by

0 and solve the equation to find the value of x

∵ f(x) = 0

∴ 0 = x³ + 8

- Subtract 8 from both sides

∴ -8 = x³

- Take ∛ for both sides

∵ \sqrt[3]{x}=x

∵ \sqrt[3]{-8}=-2

∴ x = -2

The value of x is -2 when f(x) = 0

Learn more:

You can learn more about the functions in brainly.com/question/10879401

#LearnwithBrainly

7 0
3 years ago
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