It is true, they are congruent by doing a proof. You have to divide the trapezoid into 2 equal triangles. Then you can prove it. They are congruent since corresponding parts of congruent triangles are congruent.
Perimeter = Side + Side + Side
Side 1 = x
Side 2 = x + 7
Side 3 = 2x-7
Plug into the equation:
84 = x + (x + 7) + (2x-7)
84 = x + x + 7 + 2x - 7
Combine like terms:
84 = 4x
Divide by 4 and solve for x:
21 = x
Side 1 = 21
Side 2 = 28
21+7=28
Side 3 = 35
21(2) - 7 = 42 - 7 = 35
Answer:
Robert Recorde.
Step-by-step explanation:
Robert Recorde was a Welsh known for vast knowledge and experience in the field of mathematics and physics. He was born in Tenby, Pembrokeshire, Wales during the Medieval period (c. 1512).
Robert Recorde was famously known for his work in the field of mathematics and most especially, the invention of the equal to (=) sign. He introduced it in his book titled "The Whetstone of Witte."
<em>Hence, Robert Recorde was the first english mathematician who first used the modern symbol of equality in 1557. </em>
9x + 3 = 7x +19
2x + 3 = 19
2x = 16
x = 8
So, x (8) is the number of chairs in each row with these setups.
Plug 8 into one of the equations and you will find how many chairs total there are.
9(8) + 3 = 75
There are 75 chairs total
Answer:
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Step-by-step explanation:
Given expressions are;
4(5x-8) and 2(4-x)
For 4 more than the second expression, we will add 4 with second expression.
4(5x-8) = 2(4-x) + 4
20x - 32 = 8 -2x +4
20x + 2x = 12 + 32
22x = 44
Dividing both sides by 22
Hence,
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
