The measure of m∠KPN is 68°.
<u>Step-by-step explanation:</u>
From the given diagram, we are given with lines passing through a point P creating different angles.
Data given,
m∠KPN = 4x°.
m∠NPO = (x+5)°.
And m∠KPO= 90°.
The m∠KPO is spitted into m∠KPN and m∠NPO.
Thus the sum of m∠KPN and m∠NPO will be m∠KPO.
⇒m∠KPN + m∠NPO =m∠KPO.
Substitute the values to find x value.
4x°+(x+5)°= 90°.
(°5x+5)=90°.
5x°=90°-5°.
5x°=85°.
x=.
x= 17.
⇒m∠KPN = 4x°.
=4(17)°.
m∠KPN =68°.
Thus the measure of m∠KPN is 68°.
explanation:
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Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
Its A
because sin A is CB/AB
and cos A is AC/AB
Answer:
x = -5/2 , 5/2
Step-by-step explanation:
x^ -2 = 4/25
negative exponents means flip from numerator to denominator ( or vice versa)
(1/x) ^2 = 4/25
take the square root of each side (remember you get a positive and negative result)
sqrt(1/x) = sqrt(4/25)
1/x = + 2/5 1/x = -2/5
multiply each side by x
1 = + 2/5 x 1 = -2/5 x
multiply by 5/2 multiply by -5/2
5/2 = + 2/5 x * 5/2 -5/2 = -2/5 x *- 5/2
5/2 = + x -5/2 = x
x = 5/2 , -5/2