Answer:
50
Step-by-step explanation:
24x2=48
48+2=50
Y=2(-1)^2-6(-1)+3
y=2+6+3
y=8+3
y=11
Multiplying or dividing two related quantities by the same number is called scaling
The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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Answer:
85 degrees
Step-by-step explanation:
the sum of supplementary angles=180
155+ angle in the triangle=180
angle=180-155
angle=25 degrees
the sum of angles of triangle=180
25+60+x=180
85+x(inside triangle)=180
x=180-85
x=95
angle with (?):
the sum of supplementary angles=180
95+(?)=180
(?)=180-95
(?)=85 (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
