Answer:
The answer is 55.54778 ft^2
Step-by-step explanation:
below in the picture.
Answer:
x = 5.75
Step-by-step explanation:
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The measure of each angles are m∠F = 46°, m∠D = 32°, m∠E = 102°.
<h3>What is angle?</h3>
An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.
The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.
We have given that Δ DEF has
m∠D = m∠F - 14
And
m∠E = 10 + 2(m∠F)
We know that that sum of all angels in a triangle is 180°, So
m∠D + m∠E + m∠F = 180°
Substituting the values we get
(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°
m∠F - 14 + 10 + 2m∠F +m∠F
4(m∠F) - 4 = 180
4(m∠F) = 180 + 4
4(m∠F) = 184
(m∠F) = 46°
m∠D = 46° - 14
m∠D = 32°
m∠E = 10 + 2(m∠F)
m∠E = 10 + 2( 46°)
m∠E = 10 + 92°
m∠E = 102°
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3.5 pound = 3 5/10 pounds = 3 1/2 pounds
Now, 1 pound = 16 ounces, so 1/2 pound = 16*1/2 = 8 oz
<span>So the answer is 3 pounds and 8 oz.</span>
The estimate of the given subtraction operation is 27,000
<h3>Estimating the value of numbers </h3>
From the question, we are to estimate the value of given operation. The operation is a subtraction operation.
The given subtraction operation is,
46,214 - 18,941
First, we are to round each number to the nearest thousand.
Round 46,214 to the nearest thousand
46,214 ≈ 46,000
Also,
Round 18,941 to the nearest thousand
18,941 ≈ 19,000
Now, subtract
46,000 - 19,000 = 27,000
Hence, the estimate of the given subtraction operation is 27,000
Learn more on Estimating Numbers here: brainly.com/question/17178459
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