When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
=
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
Answer:
Perpendicular
Step-by-step explanation:
A trapezoid is a quadrilateral which means the sum of the angles should be equal to 360 degrees. The other angles therefore should have the sum of 360 - 60 - 45 = 255 degrees. Since we do not have the figure it would be hard to specify the measure of each angle.
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
<h2><u /></h2><h2><u>Part 1</u></h2>
Four times a number added to 3 times a larger number is 31.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
<u>Correct answer choice for this equation:</u>
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
<h2><u>
Part 2 </u></h2>
Seven subtracted from the larger number is equal to twice the smaller number.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
<u>Correct answer choice for this equation:</u>
y = 2 x + 7
The answer is .I took the test so thats the answer