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<em>Hi there!</em>
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<em>1:10000 would be the scale.</em>
<em>❀Hope this helped you!❀</em>
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m∡A = 70º
1) Considering that the Sum of the interior angles within a triangle is always 180º
2) We can write the following, and solve for x
x+80 + x +80 +40 = 180
2x +160 +40 = 180
2x + 200 = 180
2x =180-200
2x= -20
x=-10
3) So since angle A = x +80, we can plug it into that the value of x
m∡A = x +80º
m∡A=-10+80
m∡A = 70º
Answer:
49 inches
Step-by-step explanation:
To obtain the height, h of the ramp ;; we use trigonometry ;
h = opposite and the value of the hypotenus :
Sin θ = opposite / hypotenus
Sin 22 = h / 132
h = 132 * sin 22
h = 132 * 0.3746065
h = 49.44
Height of ramp = 49 inches
It would fall between 6 and 7.
To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
