Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB = HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
=
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
=
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
Answer:
$720
$360
Step-by-step explanation:
Let the cost of couch be A and that of coffee table be B
Given couch and coffee table cost $1080
That’s
A + B = $1080
Also, the cost of couch A is 2 times the cost of coffeee table B.
That’s
A = 2B
We now have two equations
A + B = 1080
A = 2B
Now ,substitute 2B for A in the first equation .
We have
A + B = 1080
2B + B = 1080
3B = 1080
Divide both sides by 3
3B/3 = 1080/3
B = 360
The coffee table cost $360
Remember A = 2B
Therefore
A = 2 x $360
A = $720
The couch cost $720 while the coffee table cost $360
Consider a trapezoid GJKF with:
GH=JH (hypothesis)
FL=KL (hypothesis)
so HL is the median of trapezoid GJKF
so: HL=1/2(2.5+1.2)=1.85