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anzhelika [568]
3 years ago
9

Two SUVs head toward each other from opposite ends of a freeway 460 kilometers long. If the speed of the first SUV is 49 kilomet

ers per hour and the speed of the second SUV is 43 kilometers per hour, how long will it take before the SUVs pass each other?
Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0
The distance covered by a moving object is calculated through multiplying the speed and the time it takes to cover the distance. In this item, we let x be the time. The distances covered by the two vehicles are as follows,

       SUV A = 49x
        SUV B = 43x

These distances should add up to 460 km. Thus,
              
           49x + 43x = 460 

The value of x from the equation is 5 hours.

Answer: 5 hours
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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
3 years ago
Olga tried to solve an equation step by step
LuckyWell [14K]

Answer:

made a mistake in step 3

Step-by-step explanation:

from step2; 1/3k=15 then making k the subject ,k=15*3 so the value of k will be 45

3 0
3 years ago
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Ali, Ben and Clare each played a game. Clare's score was seven times Ali's score. Ben's score was half of Clare's score. Write d
Lerok [7]

Answer:

The answer is 2 : 7 : 14

8 0
3 years ago
What is sin(A)?<br> 13<br> 12<br> A<br> 5<br> sin(A) =
eimsori [14]

Answer:

sin A = 12/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

 sin theta = opposite side/ hypotenuse

sin A = 12/13

6 0
3 years ago
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-inte
wariber [46]

Step-by-step explanation:

Given x intercept is 1, So (x,y) is (1,0)

When x intercept is 1 then y  value is 0

Another point on the line is (-2,3)

Two points are (1,0) and (-2,3)

Find out slope using the two given points

slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1

Use point slope formula

m=-1 and point(1,0)

y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1

Point slope equation is

y-0=-1(x-1)

Equation of the line in slope intercept form is

y=-1x+1

7 0
3 years ago
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