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Airida [17]
3 years ago
14

The length of one leg of a right triangle is 3 times the length of the other, and the length of the hypotenuse is 10. What is th

e length of the longest leg?
Mathematics
2 answers:
iVinArrow [24]3 years ago
5 0

3 times 3 times 3 equals 9

Elis [28]3 years ago
5 0

Answer:

10

Step-by-step explanation:

A triangle as three sides. There are two legs and a hypotenuse. The hypotenuse if always the longest side. Here it is 10.

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60 divided by .12 is 500
4 0
3 years ago
7. In a regular polygon, adjacent interior and exterior angles are congruent
Aleks [24]

Answer:

This would be true for a rectangle and a square.

Step-by-step explanation:

Rectangles and square have 90 angles.  The exterior angles would also equal 90 because 90 + 90 is 180.  An interior angle and the exterior angle are supplements (add together to 180).

7 0
2 years ago
MULTIPLE CHOICE : Which expression is equal to f(x) + g(x)
Alexxandr [17]

Answer:

Option C.

Step-by-step explanation:

7 0
2 years ago
Find the value of x.
omeli [17]

Answer:

x=45.5

Step-by-step explanation:

sum of angles of a quadrilateral is 360°

so 3x - 11+x+8+x-8+2x+7+x=360°

or 8x-4=360

or, x=364÷8

hence

x=45.5

8 0
2 years ago
A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
2 years ago
Read 2 more answers
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