Answer:
8/3
Step-by-step explanation:
Because all 4 angles are congruent, the sides are proportional.
the scale factor is 5/30 = 1/6.
meaning x = 16(1/6)=8/3.
Answer:
what do you mean?
Step-by-step explanation:
A. turn all fractions into decimals or all decimals into fractions; I've decided to turn all fractions into decimals
525
------- = 0.525
1000
3
-- = 0.75 = 0.750 ~ (add a zero at the end to make the decimal places 4 equal with 0.525)
0.55 = 0.55 = 0.550 ~<span>(add a zero at the end to make the decimal places equal with 0.525 and 0.750)
</span>
<span> Answer to Problem 'a':</span>
Smallest = 0.525 = 525
-------
1000
Middle = 0.550 = 0.55
Largest = 0.750 = 3
--
4
b. <span>turn all fractions/mixed fractions into decimals or all decimals into fractions; I've decided to turn all fractions/mixed fractions into decimals
</span>
3.805 = 3.805
3.85 = 3.850 ~ ( <span>add a zero at the end to make the decimal places equal with 3.805)
</span>
3 4/5 = 80
----- = 0.80 =0.800 ~ (add a zero at the end to make the decimal
100 places equal with 3.805 and 3.850)
Answers to Problem 'b':
Smallest = 0.800 = 0.80 = 3 4/5
Middle = 3.805 = 3.805
Largest = 3.850 = 3.85
Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
<em />
<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<u></u>
<u></u>
Learn more here:
brainly.com/question/15234579
