Using asa you find that wx=xw and then angle rwx is equal to angle wxv bc of alternate interior angles and then angle xwv is equal to angle rxw also bc of alt int angles
The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
Answer:
(B , D) = (-2,5)
Step-by-step explanation:
The given quadratic expression is
compare the given expression with
so we have
now and
we need to find two numbers such that their product is -30 and sum is -1
-6 and 5 are such numbers
so we have
grouping first two terms and last two terms
factor out 3x from first two terms and 5 from last two terms
( factor out (x-2))
hence B =-2 and D= 5
(B,D)= (-2,5)
Formula
RST = (Large arc - Small arc)/2
Givens
Large arc = 107
Small arc = 25
RST = ???
Substitute and solve
RST = (107 - 25)/2
RST = (82) / 2
RST = 41 <<<<< Answer.