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Debora [2.8K]
3 years ago
5

Use the diagram to determine which statement is true

Mathematics
2 answers:
hichkok12 [17]3 years ago
5 0
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9

B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6

C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16

D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25

The answer is D.
irina1246 [14]3 years ago
4 0

Answer:

<h2>D)</h2>

Step-by-step explanation:

The DGA triangle is the right triangle.

We have three squares built on the sides of a given triangle.

Based on Pythagoras' theorem we have:

A_{ABCD}=A_{DEFG}+A_{GHIA}

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Pls answer fast!!<br> order these numbers from least to greatest ^^
zubka84 [21]

Answer:

Least to Greatest: -\frac{31}{6}, -\sqrt{26}, -5, -\frac{5}{6}

3 0
2 years ago
HELP!!!
vladimir1956 [14]
Create a conversion factor from "<span>There are 6.02 × 10^23 atoms in 1 gram of hydrogen:"

6.02*10^23 atoms
-------------------------
          1 gram

Then mult. 800 grams by this conversion factor:

</span>6.02*10^23 atoms      800 grams
------------------------- * ----------------
          1 gram                     1

This comes out to 4816*10^23 atoms, which, in scientific notation, is 

4.816*10^26 atoms.
3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
What is the 4(4x)+(x) equal!?
e-lub [12.9K]

4(4x)+(x)

= 16x+x

Combine like terms

16x+x

(16x+x)

= 17x

x=17


I hope that's help ! Good night .

5 0
3 years ago
what is the lenght and width if the perimeter is 38 cm and the area is 88 sq cm. ? please show solution
Misha Larkins [42]
Ok

Perimeter=38cm

Area=88cm

2 numbers that multiply to 88  

4 numbers that add up to 38

Length=11
Width= 8
7 0
3 years ago
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