The figure shows two triangles. To find the the area of the shaded region, you have to substract the area of the larger triangle by the area of the smaller:
1. Area of the larger triangle:
A1=bxh/2
b=5 mm
h=2mm+4mm+6mm=12 mm
Then:
A1=5 mmx12mm/2
A1=30 mm²
2. The area of the smaller triangle, is
A2=bxh/2
b=3 mm
h=4 mm
Then, you have:
A2=3 mmx4 mm/2
A2=6 mm²
3.<span> The area of the shaded region is:
A3=A1-A2
A3=30 mm</span>²-6mm²
A3=24 mm²
4. Therefore, the answer is: 24 mm²
The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
<h3>What is the Linear pair theorem?</h3>
The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.
In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.
Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
To know more about the Linear pair theorem follow
brainly.com/question/5598970
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Yummy Bagels sells bagels at a lower unit price than Bagel Stop
this is false
Your answer should be $45.50, you can also look up the answer on google if you need to
Answer:
$14,555.17
Step-by-step explanation:
initial investment, p = $8,000
rater, r = 6% = 0.06
Number of times compounded yearly = 12
Time, t = 10 years
Amount, A = p(1 + r/n)^tn
A = 8000(1 + 0.06/12)^10*12
A = $14,555.17
