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3 years ago

10

Which is correct regarding the angles of the triangle?

1 answer:

Valentin [98]3 years ago

4 0

Answer:

One of the properties of triangle is the opposite of the largest angle is the longest leg and the smallest angle is opposite the shortest leg.

Given the three sides of the triangle with its corresponding angle, we have:

(2m+3) = m∠X

(m-3) = m∠Y

(m+8) = m∠Z

assign value for m; let m = 6

2(6)+3 = 15 = m∠X

6 - 3 = 3 = m∠Y

6 + 8 = 14 = m∠Z

As the sides correspond to its angle, therefore, the largest angle is m∠X and the smallest is m∠Y

The correct one is m∠Y < m∠Z < m∠X

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Victor is going to send some flowers to his wife. Dayton Florist charges $3 per rose, plus $12 for the vase. Tammy's Flowers, in

s344n2d4d5 [400]

Answer: the costs would be the same if he orders 29 rose flowers.

Step-by-step explanation:

Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.

Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is

3x + 12

Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41

For the costs to be the same, the number of rose flowers that he orders would be

3x + 12 = 2x + 41

3x - 2x = 41 - 12

x = 29

4 0

3 years ago

How do you write twelve and fourteen thousandths in decimal form?

GarryVolchara [31]

12.0014 teacher helped me to make sure it was right

3 0

3 years ago

Hey can you please help me posted picture of question

Basile [38]

The answer is true. :)

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3 years ago

Read 2 more answers

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

If the line segment AB is on a number line, and point A is at 6 and Point B is at 13, then the length of AB is ____.

Katarina [22]

Answer:

7

Step-by-step explanation:

The length of AB is the distance between A and B which is B-A -> 13-6= 7

3 0

2 years ago