Answer:
XG segment is an angle bisector of ∠YXZ ⇒ C
Step-by-step explanation:
Let us revise the steps of constructing a bisector of an angle
- Place compass pin on the vertex of the angle (point X).
- Open the compass to a suitable length that and draw an arc to intersect the two sides of the angle at two points (points E and F)
- Place the compass pin on one of these new points on the sides of the angle(point E). Stretch the compass to a sufficient length and draw an arc in the interior of the angel
- Without changing the span on the compass, place the pin of the compass on the other intersection point on the side of the angle (point F) and make a similar arc. The two small arcs in the interior of the angle are intersecting. in a point (point P)
- Join the vertex of the angle (point X) to this intersection of the two small arcs (point P) XP is the bisector of angle X
By comparing these steps with The steps in the figure, you will find that they are the same steps
∵ XP ray intersect YZ segment at G
∴ G belong to XP ray
∵ XP ray is the bisector of ∠YXZ
∴ XG segment is the bisector of ∠YXZ
Then the statement must be true is:
XG segment is an angle bisector of ∠YXZ
We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is
Also, if James can do it in 5 hours, then his working rate is
Let
be the hours that both will use to complete the sales route,
Then rate at which both completes this task is
Meaning if we add their individual rates we should get
That is;
The LCM is
So let us multiply through with the LCM.
We simplify to get,
Dividing through by 9 gives;
Therefore the two will complete sales route in
hours.
A
rational number is a number which can be expressed as a fraction whose
numerator and denominator are both integers and whose denominator is not equal
to zero. Rational numbers include all integers, fractions, mixed numbers, and
some decimal numbers.
Note : All terminating and repeating decimal
numbers are rational numbers because those numbers can be expressed as a
fraction. On the other hand, a non repeating number and non terminating
decimal, like square root of 2, is an irrational number.
Answer:
B. $257.33
Step-by-step explanation:
Interest will be charged on the New Balance after the Month 7 payment, $257.33.
