Answer:
20
Step-by-step explanation:
n(A) only =15-4=11
n(B) only=9-4=5
n(A n B)=4
n(A U B)=11+5+4=20
Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
- D= (-2, 2), E = (-1, -2), F = (-4, -1)
3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
<u>Find slopes of FD and CB and compare. </u>
- m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
- m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
- As we see the slopes are same
<u>Find the slopes of FE and AB and compare.</u>
- m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
- m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
- Slopes are same
<u>Find the slopes of DE and AC and compare.</u>
- m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
- m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
- Slopes are same
4.
As per definition, midsegment is half the parallel side.
<u>We'll show that FD = 1/2CB</u>
- FD = = =
- CB = = = 2
- As we see FD = 1/2CB
<u>FE = 1/2AB</u>
- FE = = =
- AB = = = 2
- As we see FE = 1/2AB
<u>DE = 1/2AC</u>
- DE = = =
- AC = = = 2
- As we see DE = 1/2AC
Answer:
a= -1
b= -9
c=9
d=3
e=3
f=2
Step-by-step explanation:
Rule of sign:
- (-)×(+)=(-), (-)÷(+)=(-)
- (+)×(-)=(-) , (+)÷(-)=(-)
- (+)×(+)=(+), (+)÷(+)=+
- (-)×(-)=(+), (-)÷(-)=(+)
Given that,
We can rewrite 6-2x as 2x-6, taking (-1) as common factor of (6-2x)
So, a= -1
So, b= -9
The L.C.M of (2x-6) and (2x-6) is (2x-6)
and (2x-6)÷(2x-6)=1
∴c= 9
(3x-9) has a common factor 3 and (2x-6) has a common factor 2.
(3x-9)=3(x-3)
(2x-6)=2(x-3)
∴d=3, e=3 and f=2
Since the denominator and numerator are the product of two polynomial. So, if there is any common element, then can cancel the common factor.
Here the common factor is (x-3). So cancel out (x-3).
Answer:
1.25
Step-by-step explanation: