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3 years ago

Maggie drew triangle and then triangle . Triangle is congruent to triangle only if ∠ is equal to what value?

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

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1) Use the Euclidean Algorithm to nd the greatest common divisor of 71407 and 2020. (Write down all of the steps, so that you ar

Olenka [21]

Answer:

Step-by-step explanation:

We have

$71407 = 2000(35)+1407\\2000 = 1407+1(593)\\1407= 2(593) + 221\\593 = 2(221) = 151\\221=151+70\\151=2(70)+11\\70 = 6(11)+4\\11=2(4)+3\\4 = 3+1\\3 = 3(1)+0\\$

So we find GCD = 1

2) By back substitution we get

71407 (543) - 19387(2000) =1

So x = 543 and y = -19387

Because we got 71407 (543) - 19387(2000) =1

y cannot be positive

y can only be negative

8 0

3 years ago

stacy buys 3 cds in a set for $29.98. She save $6.44 by buying the set instead of buying the individual cds. if each cd costs th

Natalka [10]

29.98+ 6.44 = 36.42 (cost with out the discount)
36.42/3 = 12.14

Answer-
12.14

4 0

4 years ago

Read 2 more answers

-10 |h+5| -3= -83<br> what is the answer to this the topic is absolute value.

Andru [333]

Answer:

the absolute value is 3,-13

6 0

3 years ago

Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coeff

pishuonlain [190]

9514 1404 393

Answer:

(a) -29,884,416

(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

(b) The p-th term of the expansion of (x +1/x)^n is ...

C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

k = n -2p

p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

5 0

3 years ago

The area of a rectangle is 128 ft.² if the link is twice the width what is the measure of the width of the rectangle

andrew-mc [135]

Let, the width = x
Then,Length = 2x

Now, Area = l * w
A = (2x)(x)
128 = 2x²
x² = 128/2
x = √64
x = 8

In short, Your Answer would be 8 Feet

Hope this helps!

3 0

3 years ago