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2 years ago

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18. Madison stayed 3 nights at a hotel that charged x dollars per night. The sales tax was 12.5%. Which expression represents th

e total cost Madison paid to stay 3 nights at the hotel?
A.3x+ 12.5 . C.3x+ 1.125
B.3x(12.5) . D.3x(1.125)

1 answer:

sdas [7]2 years ago

6 0

Answer:

D. 3x(1.125)

Step-by-step explanation:

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What is the rule for this sequence 6, 18, 54, 162, 486

ahrayia [7]

Multiply the number by 3

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The sum of three consecutive odd numbers in 177. What is the largest of the three numbers?

Vikentia [17]

Answer:

1st odd = 57

2nd odd = 59

3rd odd = 61

Step-by-step explanation:

Suppose the numbers to be:

1st odd = x -2

2nd odd = x

3rd odd = x +2

Now according to given conditions:

1st odd + 2nd odd + 3rd odd = 177

x - 2 + x +x + 2 = 177

By add -2 and + 2 will be cancelled

Adding all x

3x = 177

Dividing both sides by 3 we get

x = 177 / 3

x = 59

Now putting x = 59 to get three consecutive odds:

1st odd = x -2 = 59 - 2 = 57

2nd odd = x = 59

3rd odd = x +2 = 59 + 2 = 61

Proof:

1st odd + 2nd odd + 3rd odd = 177

57 + 59 + 61 = 177

177 = 177

hence proved

I hope it will help you!

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Determine the unknown side of the similar triangle.<br> A) 2 <br> B) 3 <br> C) 4 <br> D) 5

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4 is correct. Set up a ratio relationship between similar triangles. $\frac{x}{6} = \frac{8}{12} ; x = \frac{48}{12} ; x = 4$

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Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me

DiKsa [7]

Answer:

Option D is correct.

The measure of $\angleWYX = 150^{\circ}$

Step-by-step explanation:

$\triangle WXY$ is isosceles and $\angle YWX$ and $\angle YXW$ are base angles.

Isosceles Triangle:

A triangle with two equal sides, and two congruent base angles that means the angles are equal

By the definition, the base angles are equal i.e, $m\angle YWX=m\angle YXW$

Since, YZ bisects $m\angle WYX$

Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles

then, $\angle WYX =2\angle XYZ$ or

Substitute the value of $\angle XYZ=(15x)^{\circ}$ ;

$\angle WYX =2(15x)^{\circ} = (30x)^{\circ}$

The sum of measures of these three angles of triangle WXY is equal to the 180 degree.

In triangle WXY we have;

$\angle YXW+\angle WYX+\angle YWX=180^{\circ}$

Substitute the value of $m\angle YWX=m\angle YXW=(2x+5)^{\circ}$ and $\angle WYX=(30x)^{\circ}$ in above formula:

$2\angle YXW+30x=180^{\circ}$ or

$2\cdot(2x+5)+30x=180^{\circ}$

Simplify:

$4x+10+30x=180^{\circ}$

Combine like terms ;

$34x+10^{\circ}=180^{\circ}$ or

$34x=170^{\circ}$

Simplify;

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$\angleWYX = (30x)^{\circ} = 30 \cdot 5 = 150^{\circ}$

Therefore, the measure of $\angleWYX = 150^{\circ}$

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Need help please and thank you

vekshin1

We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.

10/12, 7/12, 5/12 -- Check decreasing

3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases

6 5/7, 6 3/7, 5 2/7 - Check, decreasing

11 7/10, 11 6/10, 10 3/10 -- Check, decreasing

Answer: A,C,D

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