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Naya [18.7K]
3 years ago
5

Theo drove 236 miles in 4 hours. Lex drove 195 miles in 3 hours. At those rates, could either man drive 116 miles in 2 hours? Sh

ow your work, please!
^﹏^
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

No.

Step-by-step explanation:

236÷4=59

     &

195÷3=65

<em>To check if either of them drove 116 miles in 2 hours, I would multiply the sum of the division problems by 2(for 2 hours).</em>

59 x 2 = 118

      &

65 x 2 = 130

None of them equals 116, meaning neither of them drove 116 miles in 2 hours.

<u><em>Hope I helped you! Have a great day! :)</em></u>

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A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk
S_A_V [24]

Answer:

Patrick walk approximately <u>112 yards</u>.

Step-by-step explanation:

Given:

A rectangular field is 50 yards wide and 100 yards long.

Patrick walks diagonally across the field.

Now, to find the distance he walk.

Length of the field = 100 yards.

Width of the field = 50 yards.

Now, to get the diagonal distance we put formula:

Diagonal = \sqrt{length^2+width^2}

Diagonal = \sqrt{100^2+50^2}

Diagonal = \sqrt{10000+2500}

Diagonal = \sqrt{12500}

Diagonal = 111.80

Therefore, Patrick walk approximately 112 yards.

6 0
3 years ago
3
Natali [406]

Answer:

468.75

Step-by-step explanation:

Multiply the sales by the commision as a decimal to get the commission, in this case, 1875 * 1/4 = 468.75.

8 0
3 years ago
Read 2 more answers
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°.

6 0
2 years ago
3. What is the slope of the graph shown below?
konstantin123 [22]

Answer:

The slope is -2 and initial value is -1

5 0
3 years ago
HELPP PLEASE!!!!!!<br> (Will give 15 points for right Answer)!!!!
VMariaS [17]

Answer:

12

Step-by-step explanation:

The parallel sides must be the same length.

2x-6 = x+3

2x-x-6-3 = 0

x - 9 = 0

x = 9

x + 3 and 2x - 6 are both 12



8 0
3 years ago
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