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3 years ago

Figure ABCD is a parallelogram. If ABCD is also a rhombus, what must be the value of x? 13 15 18 23

Mathematics

2 answers:

Dafna1 [17]3 years ago

8 0

Answer:

x = 13

Step-by-step explanation:

To solve for x in a parallelogram ABCD, which is also a rhombus, one must recall the common properties of parallelogram and rhombus.

One of the properties say that diagonals are perpendicular bisectors of each other, It means that the triangles formed in the figure are right-angles triangle.

Therefore, to calculate the value of x we can write:

(5x - 35) = 90 because it is the right angled triangle.

5x = 90 - 35

5x = 65

x = 65/5

x = 13

nevsk [136]3 years ago

6 0

Answer: First option 13

Solution

If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):

(5x+25)°=90°

5x+25=90

Solving for x: Subtracting 25 both sides of the equation:

5x+25-25=90-25

Subtracting:

5x=65

Dividing both sides of the equation by 5:

5x/5=65/5

Dividing:

x=13

Answer: The value of x must be 13

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gavmur [86]

Answer:

Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

p = s -c

500 = (1.0625c) -c = 0.0625c

Then the cost is ...

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and the sale price is ...

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3 years ago

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LUCKY_DIMON [66]

Answer:

Algebrically the result can be written as -

$9 {x}^{2} + 24x + 16$

Step-by-step explanation:

Let the number be 'x'.

When multiplied by 3 , algebrically it is written as "3x".
When 4 is added to 3x , algebrically it is written as "3x + 4".
When (3x + 4) is squared completely , algebrically it is written as - ${(3x + 4)}^{2} = 9 {x}^{2} + 24x + 16$

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3 years ago

Please help me I’m confused

Vesnalui [34]

I think it’s b I hope I’m sosososososos sorry if it ain’t

8 0

3 years ago

A rock show is being televised the lead singer who is 75 inches tall is 15 inches tall on a TV monitor the image of the bass pla

VladimirAG [237]

75 : 15 = x : 13
15 x = 75 · 13
15 x = 975
x = 975 : 15
x = 65
Answer:
The bass player is 65 inches tall.

6 0

3 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

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3 years ago