Answer: " m∠ACD = 40° " .
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Explanation:
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We are asked to find: "m∠ACD" ;
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Note: m∠ACD = m∠ABD ;
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So, given:
m∠ACD = (4x + 4)° ;
m∠ABD = <span>(6x - 14)° ;
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4x + 4 = 6x - 14 ;
Solve for "x" ; then solve for: "m</span>∠ACD" ;
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Add "14" to each side of the equation; and subtract "4x" from each side of the equation ;
4x + 4 + 14 - 4x = 6x - 14 + 14 - 4x ;
to get:
18 = 2x ;
↔ 2x = 18 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" ;
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2x / 2 = 18/2 ;
x = 9 .
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Now, to solve for: " m<span>∠ACD " :
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m∠ACD = <span>(4x + 4)° ;
Substitute "9" for "x" ;
</span>
m∠ACD = (4*9) + 4 = 36 + 4 = 40° .
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Answer: " m∠ACD = 40° " .
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Let us check our answer:
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m∠ACD = 40 ; and m<span>∠ABD = (6x - 14) ;
</span>m∠ACD = ∠ABD ;
<span>
Since </span>m∠ABD = (6x - 14) ;
If x = 9; if we plug in "9" into the expression for "m∠ABD" ; will the value obtained be "40" ??
m∠ABD = (6x - 14) ; Let us plug in "9" for "x" ; to see if the value obtained is "40"
6x - 14 = ? (6*9) - 14 ??
6x - 14 = ? 54 - 14 ??
6x - 14 = ? 40 ?? Yes!
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The answer is median
Mean is something else and the median is to find the middle number by crossing out the side numbers till you reach the middle numbers. And the answer would be 36
Step-by-step explanation:
The given equation is :
2x+7y=11
We need to tell the point (-5,3) lies on the graph of the above equation of not.
Put x = -5 and y = 3 in the LHS of the above equation.
LHS = 2x+7y
= 2(-5)+7(3)
= -10 +21
= 11
It means, when we put x = -5 and y = 3 in the above equation, we get 11. Hence, (-5,3) lies on the graph of the equation.
Answer:
6.4
Step-by-step explanation:
Answer:
the asymptote of the graph y = 1
Step-by-step explanation:
The asymptote of the graph y = 1 (Horizontal asymptote)
As you can see a line that a graph is approạching to as it heads towards infinity but it does not intersect.
Moreover, the value of y is decreasing over its domain. as you can see in the graph.
