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Bond [772]
3 years ago
15

Write a paragraph proof.

Mathematics
2 answers:
lara31 [8.8K]3 years ago
4 0

Answer:

Definition Of midpoint,

Angle BCA is congruent to Angle DCA

Step-by-step explanation:

Just did it on edg 2020

taurus [48]3 years ago
3 0

Step-by-step explanation:

Mid Point :  A point which lies on the line segment and is equidistant from both the ends of the segment is called a mid point.

A line segment can have ONLY ONE mid point and it divides the line segment into two equal parts.

Now, Given : C is the midpoint of AB.

                      and  B is the midpoint of CD.

⇒ AC = BC    and     BC = BD

Now by Euclid's Lemma

- "Things which are equal to the same thing are equal to each other."

Here, AC = BC , and BC = BD

⇒ AC = BD

Hence the result.

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The polynomial h(x) = (x+3)(x + 1)(x - 2)(.– 4) has the following zeros/roots:
Artyom0805 [142]

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Step-by-step explanation:

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3 0
3 years ago
Use (x+a)(x+b)=x2+(a+b)x+ab find 101*102​
dangina [55]

Answer:

101 * 102 = 10302

Step-by-step explanation:

Given

(x + a)(x + b) = x^2 + (a + b)x + ab

Required

Find 101 * 102

101 * 102 =

Express as a sum of 100

(100 + 1) * (100 + 2)

Compare this to (x + a)(x + b)

We have that:

x = 100

a = 1

b = 2

Recall that:

(x + a)(x + b) = x^2 + (a + b)x + ab

Substitute 100 for x, 1 for a and 2 for b

(100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2

(100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2

(100 + 1) * (100 + 2) = 10000 + 300 + 2

(100 + 1) * (100 + 2) = 10302

Hence:

101 * 102 = 10302

6 0
3 years ago
Uss the distributive property to write an equivalent expression for 21p + 35q
Mama L [17]
Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!
7 0
3 years ago
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