Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Hello !
Answer:
Step-by-step explanation:
Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²
Here, we have a = 4 and c = 6 so :
b² = 6² - 4²
⇔ b² = 36 - 16
⇔b² = 20
⇔ b = √20 (and not b= -√20 because b ≥ 0)
The distributive property is basically expanding brackets.
So if you take 3(x + 4) = 36 and remove the brackets (so multiplying out the 3), you get:
3x + 12 = 36
And from there you simplify :)
3x + 12 = 36
3x = 24
x = 8
The distributive property was used to multiply the 3 through the brackets, thus making the equation easier to solve I guess
Step-by-step explanation:
The decimal moves forward as many places as there are zeros when you divide a number by 10, or a multiple of 10.
7 divided by 10= .7
7 divided by 100= .07
7 divided by 1000= .007