Answer:
9
Step-by-step explanation:
Answer:
angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees
Option B is correct. The required expression on expansion of 20х-[2х -(х+2)-(6-x 2 )-(28 +x+x2] is 20x + 36
Expressions are function that does not include "equal" sign
Given the expression
20х-[2х -(х+2)-(6-x² )-(28 +x+x2]
Expand and collect the like terms
= 20х-[2х -х-2-6+x² -28 - x - x²]
= 20x - [x - 8 + x² - 28 - x - x² ]
x and x² cancels out from the expression to have
= 20x - [- 8 - 28]
= 20x -(-36)
= 20x + 36
Hence the required expression on expansion is 20x + 36
Learn more here: brainly.com/question/12293021
Answer:
Theresa is 60 inches tall
Step-by-step explanation:
Let Theresa's height be t.
Let Paul's height be p.
Let Steve's height be s.
Paul says he is 16 inches shorter than 1 and a half times Theresa’s height. This means that:
p = 3/2 t - 16 = 3t/2 - 16 ________(1)
Steve says he is 6 inches shorter than 1 and one third times Theresa’s height. This means that:
s = 4/3 t - 6 = 4t/3 - 6 __________(2)
Since they are both right and they have the same height, we can equate (1) and (2):
3t/2 - 16 = 4t/3 - 6
Collect like terms:
3t/2 - 4t/3 = 16 - 6 = 10
t/6 = 10
=> t = 6 * 10 = 60 inches
Theresa is 60 inches tall.
