We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
Isn't that simply asking you to compute 30% of 20?
30 x
----- = ------
100 20
100x = 600
x = 6
So, out of those 20 numbers, you would expect that 6 of them would begin with the digit 1.
Answer:
B.
Step-by-step explanation:
Since two diameters are intersecting eachother, the angles inside them would be vertical angles so they'll be congruent.
So
m<LYM = m<JYM
Also their arcs would be equal to their angles measures so,
Arc JK = 52°
Answer:
The hight length : h
The base length : a
Apply the Pythagorean theorem in the right triangle :
h² = 13² - (10/2) = 144
h = √144 = 12 cm
S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²
Step-by-step explanation:
B.
This is because perpendicular lines have opposite and flipped slopes.