So,
Multiply both sides by 11.
Divide both sides by 7.
f = 1
Check.
This checks.
S = {1}
Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
length = area/width
l = 45/5 = 9
The length of the rectangle is 9.
<h3>Answer: 4 meters (choice C)</h3>
==========================================
Explanation:
h = height of trapezoid (in meters)
b1 and b2 are the parallel bases, which are b1 = 4.6 and b2 = 6.1
A = 21.4 is the area of the trapezoid
-------
Plug those values into the area formula of a trapezoid. Isolate h
A = h*(b1+b2)/2
21.4 = h*(4.6+6.1)/2
21.4 = h*(10.7/2)
21.4 = h*(5.35)
21.4 = 5.35h
5.35h = 21.4
h = 21.4/5.35 ...... divide both sides 5.35
h = 4
The height is 4 meters
Step 1:
Subtract 3y from both sides
Step 2:
Divide both sides by -5
Answer:
x=3/5y + -22/5
