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BARSIC [14]
3 years ago
8

Find the value of x for which abcd must be a parallelogram 3x 4x-5

Mathematics
1 answer:
Aliun [14]3 years ago
3 0
Let's first denote the intersection point of diagonals with O. In this parallelogram, we can observe that ΔAOB is congruent to ΔCOD because of AB=CD and the angles ∠BAO and ∠OCD are equal (They are alternate angles). According to the rule of congruency, 3x=4x-5 and x=5
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John wants to buy a DVD player. The price is $100, and the sales tax is 5 percent. Store A is offering a 10 percent discount and
exis [7]

Answer:

Price of DVD at Store A = $ 94.5

Price of DVD at Store B = $ 95

Step-by-step explanation:

Given that

Price of DVD player = $ 100

Sales Tax = 5%

Now, lets calculate price of of DVD player at store A

The price of DVD player at store A after 10% discount = 100 - 10% of 100

The price of DVD player at store A after 10% discount= 100 - 0.1x100

The price of DVD player at store A after 10% discount= 100 - 10 = $90

Price of DVD player at store A after sales tax = 90 + 5% of 90

Price of DVD player at store A after sales tax = 90 + 0.05x90

Price of DVD player at store A after sales tax = 90 + 4.5

Price of DVD player at store A after sales tax = $94.5

Now, lets calculate price of of DVD player at store B.

The price of DVD player at store B= 100

Price of DVD player at store B after sales tax = 100 + 5% of 100

Price of DVD player at store B after sales tax = 100 + 0.05x100

Price of DVD player at store B after sales tax = 100 + 5

Price of DVD player at store B after sales tax = $ 105

Price of DVD player at store B $10 rebate = 105 - 10

Price of DVD player at store B $10 rebate = $95

4 0
3 years ago
Read 2 more answers
Solve the system of equations by substitution <br><br> y = 2x + 1 and 3x + y = 16
Luden [163]

Answer:  y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

6 0
3 years ago
A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?
IrinaK [193]

Answer: C. |-4 - 3|

<u>Step-by-step explanation:</u>

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

4 0
3 years ago
12 m/min equals how many cm/s?
victus00 [196]
Equals meter minute  20 cm/s 
7 0
3 years ago
REALLY NEED HELP:  The Venn Diagram shows a universe with 26 elements and two different outcomes: B and Y
Goshia [24]

Answer:

P(B|Y)=0.4

Step-by-step explanation:

We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y

And we are asked to find P(B|Y)

The formula for P(B|Y)= \frac{P(B\cap Y)}{P(Y)}

From Venn diagram, P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}

And P(Y)=\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}

Hence P(B|Y)=\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4

6 0
3 years ago
Read 2 more answers
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