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BartSMP [9]
3 years ago
13

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?

Mathematics
2 answers:
kondaur [170]3 years ago
7 0
I hope this helps you

VLD [36.1K]3 years ago
3 0

Answer:

(D)

Step-by-step explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

(C) ∠BAD=∠BCD

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.

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LOTS OF POINTS IM DESPERATE! can someone please refresh my memory on a couple of log equations? Thank you!
n200080 [17]

Answer:

78.  t=8.66yrs

79.  r=23.10%

80. r=11.0975%

Step-by-step explanation:

78. Given the initial deposit is $1,000 and the 8% compounded continuously. The doubling time can be calculated using the formula;

A=Pe^{it}

Given that A=2P, we substitute in the equation to solve for t:

A=Pe^{rt}\\\\2P=Pe^{rt}\\\\2=e^{0.08t}\\\\0.08t=\ In 2\\\\t=8.66\ years

Hence, it takes 8.66 years  for $1,000 to double in value.

79.

Given the initial deposit is $1,000 and the r% compounded continuously.

-The doubling rate can be calculated using the formula;

A=Pe^{rt}

#We substitute our values in the equation to solve for r:

A=Pe^{rt}\\\\A=2P, t=3\\\\\therefore\\\\2P=Pe^{3r}\\\\2=e^{3r}\\\\r=\frac{In \ 2}{3}\\\\=0.23105\approx 23.10\%

Hence, the deposit will double in 3 years at a rate of 23.10%

80.

Given the initial deposit is $30,000 and the future value is $2,540,689.

-Also, given t=40yrs, the rate of growth for continuous compounding is calculated as:

A=Pe^{rt}, \ \ \ r=r, t=40yrs\\\\2540689=30000e^{40r}\\\\\frac{2540689}{30000}=e^{40r}\\\\r=\frac{In \ (2540689/30000)}{40}\\\\\\=0.110975=11.0975\%

Hence, the deposit will grow at a rate of approximately 11.0975%

3 0
4 years ago
Evaluate 2d + 3 when d = 8.
Maslowich

Answer:

19

Step-by-step explanation:

2d+3

2 (8) +3= 16+3= 19

4 0
4 years ago
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What is 3/8 multiplied by 6/12
puteri [66]

Answe r .1875

Step-by-step explanation:

7 0
3 years ago
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A person has eaten 2/5 of a cake. When his family comes he wants to split it even with 10 people. How much of the cake will each
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Each person will get 3/5 of the cake
6 0
3 years ago
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What is the slope of the line whose equation has the following solutions? (-1.25,-18,5)(0.25,-30)
labwork [276]

Answer:

m=\frac{-23}{3}

m=-7.6666666667

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>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-1.25, -18.5)

Point (0.25, -30)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-30+18.5}{0.25+1.25}
  2. Add:                              m=\frac{-11.5}{1.5}
  3. Divide:                          m=\frac{-23}{3}
4 0
3 years ago
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