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=13 feet long
This information describes a right triangle, with sides 5ft and 12ft.
a²+b²=c²
5²+12²=c²
25+144=c²
169=c²
√169=√c²
13=c
The ladder needs to be 13ft long
Answer:
Step-by-step explanation:
Part A
xf = xo + vo* t + 1/2 a*t^2 Subtract xo
xf - xo = 0*t + 1/2 a*t^2 multiply by 2
2(xf - xo) = at^2 divide by t^2
2(xf - xo ) / t^2 = a
Part B
Givens
xo =0
vo = 0
a = 10 m/s^2
xf = 120 m
Solution
xf = xo + vo* t + 1/2 a*t^2 Substitute the givens
120 = 0 + 0 + 1/2 * 10 * t^2 Multiply by 2
120*2 = 10* t^2
240 = 10*t^2 Divide by 10
240/10 = t^2
24 = t^2 take the square root of both sides.
√24 = √t^2
t = √24
t = √(2 * 2 * 2 * 3)
t = 2√6
-3/4x+6 < A < 4x
hope this helps
Answer:A= 1,2 B=1,2 C=-9,10
Step-by-step explanation:
For A=
To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)
For B=
translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)
For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)
