The answer is: " x = 2 " .
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The Business bought a total of 2048 pens.
Easiest way to solve this is to add the amount of bags the business bought.
7 + 9 = 16
After you find to total amount of bags bought you multiply the amount of pens in each bag by the total amount of bags the business bought.
16 * 128 = 2048
Answer:
5 feet.
Step-by-step explanation:
Please find the attachment.
Let x be the length of ramp.
We have been given that a ramp extends from the back of a truck bed to the ground. The back of the truck bed is 4 feet above the ground. The horizontal distance from the spot below the back of the truck bed to the bottom of the ramp is 3 feet.
We can see from our attachment that ramp and the height of truck bed form a right triangle, so the length of ramp will be equal to hypotenuse of right triangle with two legs of 4 feet and 3 feet.
We will use Pythagorean theorem to solve for the length of ramp.
Upon taking square root of both sides of our equation we will get,
Since length of ramp can not be negative, therefore, length of ramp will be 5 feet.
X= 70 degrees
Y= 70 degrees
Understand that every triangle has three angles and they add up to 180 degrees.
If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).
Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.
Now if our 40 degreed angle is now 20 degrees, we have an unknown angle and the triangle in total now adds up to 90 degrees we can set up an equation.
20 + y = 90
Y = 70
Since X and Y are equal, X will also be 70.
If we return to to the isosceles triangle before it was split (use your photo for reference) and we add 40 +70 + 70 we will get 180 degrees. Which is the standard total of degrees for any triangle that is not a 90 degreed triangle.
I hope this helps. Feel free to ask questions.
Below I uploaded my work.
Answer:
120
Step-by-step explanation:
It us 120 because 100 us close to 120 the other numbers dont have anymore than more than 20