A. 27.
we can prove that the two triangles within the triangle are congruent (the triangle is an isosceles) with SAS. then we do 180- (63 x 2). then we get the top angle. and then we divide 54 by 2 to make the individual angles and then we get 27.
Answer: m∡7 = 57° .
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Explanation:
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m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.
m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.
Given: m∡2 = 123 ;
m∡1 + 123 = 180 ;
Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
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m∡7 + 123 = 180 ; solve for "m∡7" ;
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Subtract "123" from EACH SIDE of the equation:
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m∡7 + 123 - 123 = 180 - 123 ;
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m∡7 = 57° .
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ANSWER: 3 walls
EXPLANATION: Since we know that with 1/4 can he can paint 3/4 of a wall, and 4/4 is equal to one can of paint, all you would have to do is multiply 3/4 by 4 since 1/4 + 1/4 + 1/4 + 1/4 = 4/4 (Also can be written 4(1/4)=4/4)
Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
x = [-5 ± √(25 - (104) ) ] / ( -4 )
x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.
If the cookies had been divided equally between the h grandchildren then each grandchild would receive 96/h cookies.
So Cindy received (96/h) - 5 cookies
