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sweet [91]
3 years ago
11

Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each. What equations can be used to find the number of each type

of balloon in a bunch of 18 balloons that costs $19?
A)1.25m+0.751=18
B)m+1=18; 1.25m= 0.751
C)1.25m-m=18;0.751-1=19
D)m+1=18;1.25m+0.751=19
Mathematics
2 answers:
sasho [114]3 years ago
6 0

Answer: D) m+l=18\\\\1.25 m+0.75 l=19

Step-by-step explanation:

Let 'm' represents the number of Mylar balloons  and 'l' represents the number of latex balloons.

Given : Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each.

i.e. cost of m Mylar balloons in dollars = 1.25 m

i.e. cost of l Latex balloons in dollars = 0.75 l

Then, the equations can be used to find the number of each type of balloon in a bunch of 18 balloons that costs $19 will be :-

m+l=18\\\\1.25 m+0.75 l=19

Hence, the correct answer is Option D.m+l=18\\\\1.25 m+0.75 l=19

Anuta_ua [19.1K]3 years ago
4 0
Its a because you will add 1.25 and 0.75 because it says each and of course 18 would be what it equals
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Answer:

1.5

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2 years ago
We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use
Naddik [55]

Question has missing figure, the figure is in the attachment.

Answer:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

Step-by-step explanation:

Given,

We have an isosceles triangle which we can named it as ΔABC.

In which Length of AB is equal to length of BC.

And also m∠B is equal to m∠C.

ext.m∠C= 115°(Here ext. stands for exterior)

We have to find the measure of angles angles 1 through 5.

Solution,

For ∠1.

∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle1+ext.\angle C=180\°

On putting the values, we get;

\angle 1+115\°=180\°\\\\\angle1=180\[tex]\therefore m\angle2=65\°-115\°=65\°[/tex]

Thus the measure of ∠1 is 65°.

For ∠2.

Since the given triangle is an isosceles triangle.

So, m\angle1=m\angle2

Thus the measure of ∠2 is 65°.

For ∠3.

Here ∠1, ∠2 and ∠3 are the three angles of the triangle.

So we use the angle sum property of triangle, which states that;

"The sum of all the angles of a triangle is equal to 180°".

\therefore \angle1+\angle2+\angle3=180\°

Now we put the values and get;

65\°+65\°+\angle3=180\°\\\\130\°+\angle3=180\°\\\\\angle3=180\°-130\°=50\°

Thus the measure of ∠3 is 50°.

For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle2 +\angle 4 =180\°

Substituting the values of of angle 2 to find angle 4 we get;

65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°

Thus the measure of ∠4 is 115°.

For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle4 +\angle 5 =180\°

Substituting the values of of angle 4 to find angle 5 we get;

115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

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