Tutor profile: Scott B.
Can an isosceles triangle also be a right triangle?
A right triangle is defined as having one interior angle of 90 degrees. An isosceles triangle is defined as having two sides the same length, resulting in the opposite interior angles also having the same measurement. Therefore, for a right triangle to also be an isosceles triangle, it would have an angle of 90 degrees as well as two other angles of the same measurement. Because the angles in a triangle always add up to 180 degrees, we can model the angles of this triangle using the equation 90 + A + A = 180. Solving this equation: 90 + 2A = 180 (Add like terms) 2A = 90 (Subtract 90 from both sides) A = 45 Therefore, since A = 45, there exists a triangle that has angles of 90, 45, and 45, which satisfies the definitions of a right triangle as well as an isosceles triangle. Yes.
Subject: Library and Information Science
I need current information for a project on Abraham Lincoln.
Here are some resources that may help. This scholarly article titled "Lincoln Leads the Way" is provided by the EBSCOhost database: http://search.ebscohost.com/login.aspx?direct=true&AuthType=ip,cpid&custid=cjrlc155&db=f5h&AN=138630218&site=ehost-live Also, this information is provided by the official government website of the White House: https://www.whitehouse.gov/about-the-white-house/presidents/abraham-lincoln/
John and Sally picked a total of 55 apples. John picked 12 more than Sally. How many apples did John pick?
The scenario can be represented by the equation J + S = 56, where J represents the number of apples John picked and S represents the number of apples Sally picked. Since Sally picked 12 less apples than John, we can substitute (J - 12) for S to create an equation with one variable. The resulting equation is J + (J - 12) = 56. Solving the equation in steps: ---> 2J -12 = 56 (Added like terms) ---> 2J = 68 (Added 12 to both sides) ---> J = 34 (Divided both sides by 2) Therefore, John picked 34 apples.
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