Answer: B, p=q
Step-by-step explanation:
In every triangle, the sum of the angles will equal 180 degrees.
If you add the angles given in each triangle, both with equal 100 degrees.
Because of this, you do 180 degrees - 100 degrees to find that each angle, p and q, are both 80 degrees.
Answer:
( 0 , 4 )
Step-by-step explanation:
Your estimate is correct
Answer: x= 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x−5(x−1)=2x−(2x−3)
x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)
x−5(x−1)=2x+−1(2x)+(−1)(−3)
x−5(x−1)=2x+−2x+3
x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)
x+−5x+5=2x+−2x+3
(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)
−4x+5=3
−4x+5=3
Step 2: Subtract 5 from both sides.
−4x+5−5=3−5
−4x=−2
Step 3: Divide both sides by -4.
−4x
/−4
=
−2
/−4
x = 1/2
Answer:
See explanation
Step-by-step explanation:
<u><em>1st photo:</em></u>
x = 
= 15
x =
<u><em>2nd photo:</em></u>
(a) GEH ~ FGH ~ FEG
<em>similar triangles, use similar corners in the right order</em>
(b) 
AND 
<em>similar triangles, use similar sides in proportion</em>
<em />
<u><em>3rd photo:</em></u>
x = 4.5 or 4 1/2
<em>2x = 9</em>
<em>x = 4.5 or 4 1/2</em>
<em />
<u><em>4th photo:</em></u>
Length of string = 118.2 ft
<em>sin(40) = 76/x</em>
<em>x = 76/sin(40) = 118.2</em>
