Answer:
see explanation
Step-by-step explanation:
(1)
x + 20 and 45 are vertically opposite angles and are congruent, so
x + 20 = 45 ( subtract 20 from both sides )
x = 25
Similarly 5y and 135 are vertically opposite angles and are congruent
5y = 135 ( divide both sides by 5 )
y = 27
(2)
x + 30 and 70 are vertically opposite angles and are congruent, then
x + 30 = 70 ( subtract 30 from both sides )
x = 40
Similarly y + 50 and 110 are vertically opposite and congruent , so
x + 50 = 110 ( subtract 50 from both sides )
x = 60
It's very easy... just do 36/4.
36/4= 9.
Answer:
The first one
Step-by-step explanation:
The number line is supposed to show the product of 2 and five, the arrow will start at 0 because 5 times 0 is 0 then it will go to 5 because 5 times 1 is 5, then another arrow will start at 5 and point at 10 because 5 times 2 is 10
The second option points backwards which would be if you were dividing 10 by 5
The third option starts at negative 10 so it shows -10 divided by -5
the last option starts at 0 and goes to -10 so it shows -5 multiplied by 2
Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x = 
= 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
