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Sunny_sXe [5.5K]
3 years ago
10

Which congruency theorem can be used to prove

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,  

We have, AD=AD (normal)  

∠A=∠A (Given)  

BA=CD (Sides inverse to rise to points are consistently equivalent)  

With the SAS rule of congruency,  

ΔABD≅ΔDCA

Brainliest?

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Can someone help me plz
viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and \frac{1}{3}.

The volume of a square pyramid, V = a^{2} \frac{h}{3}.

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = \frac{x}{2} inches .

The volume of a square pyramid, V = 972.

Substituting the known values, we get

972 = (x)^{2} (\frac{x}{2})  (\frac{1}{3} ) = \frac{x^{3} }{6} .

x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.

So x is 18 inches long.

The side length = x = 18 inches.

The height of the pyramid = \frac{x}{2} = \frac{18}{2} = 9 inches.

4 0
4 years ago
Simplify completely*****​
san4es73 [151]

Answer:

\displaystyle \frac{2(x + 4)}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{4x + 16}{6}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                           \displaystyle \frac{4(x + 4)}{6}
  2. [Fraction] Reduce:                                                                                          \displaystyle \frac{2(x + 4)}{3}
5 0
3 years ago
The store owner purchased 26 shirts for $810.68. How much did each shirt cost?​
alekssr [168]

Answer:

$31.18

Step-by-step explanation:

810.68/26=31.18

3 0
3 years ago
Read 2 more answers
No rush. I need help on this question. I need an explanation pleaseeeeee. Thank you in advance!
Alina [70]

Answer:

1) 275

2)60

Step-by-step explanation:

1) 55 x 5 =275

2) 12 x 5 = 60

<em><u>Hope it helps!</u></em>

6 0
3 years ago
Read 2 more answers
Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
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