For lines to be perpendicular their slopes have to be negative reciprocals of one another, mathematically...
m1*m2=-1...in this case:
y=5x/3=1/3 so the slope of the lines is 5/3 so any line that has a slope of:
5m/3=-1,
m=-3/5 is perpendicular to the original line...
<span>Since it is isosceles, we know that the other base angle is also 40°
</span><span>Three interior angles of every triangle totals 180°
</span><span>x° + 80° = 180°
</span><span>x° = 100°</span>
D. 22+(-3). Hope this helps.
Hey there!
To solve this expression, you must follow your orders of operations or PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction).
In the case of <span>5[3(14.5+7)-3]-7.4, you not only have parenthesis, but you also have brackets. To start, you would first simplify what is in the parenthesis:
</span><span>5[3(14.5+7)-3]-7.4
5[3(21.5)-3]-7.4
Now, simplify what is in the bracket, starting by multiplying 3(21.5) since multiplication comes before addition and subtraction:
</span><span>5[3(21.5)-3]-7.4
5[64.5-3]-7.4
5[61.5]-7.4
Now, multiply 5*61.5 since multiplication comes next:</span>
<span>5[61.5]-7.4
307.5-7.4
And finally, subtract what is left since it is your final operation remaining to get 300.1 as your final answer.
Hope this helps and have a marvelous day!
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