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Crank
3 years ago
15

6. Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be comple

ted.
Given: A and B are complementary angles. B and C are complementary angles.
Prove: A  C

Statements Reasons
Given
Definition of complementary angles
Substitution property of equality
Subtraction property of equality
Angles that have equal measure are congruent.
Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

Step-by-step explanation:

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Can someone help me with this please?
irakobra [83]

Answer:

b. 28.1

Step-by-step explanation:

By the property of intersecting secant and tangent out side of the circle.

20 \times (20 + x) =  {31}^{2}  \\ 20(20 + x) = 961 \\ 20 + x =  \frac{961}{20}  \\ 20 + x = 48.05 \\ x = 48.05 - 20 \\ x = 28.05 \\ \huge \red{ \boxed{ x = 28.1}}

3 0
4 years ago
James buys a shirt and a pair of of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a
Eva8 [605]

Answer:

8 dollars

Step-by-step explanation:

Define the variable X as:

X = Original Price of the Socks, in units dollars

Then,

(X + 24)(100% - 25%) = 24

(X + 24)(0.75) = 24

X = (24/0.75) - 24 = 8 dollars.

7 0
3 years ago
Which expression is equivalent to 56? A) 5 × 5 × 5 × 5 × 5 × 5 B) 6 × 6 × 6 × 6 × 6 × 6 × 6 C) 6 × 5 D) 5 6
Sunny_sXe [5.5K]

\large\text{Hey there!}

\large\text{Which expression is equivalent to 56?}

\mathsf{5\times5\times5\times5\times5\times5}\\\mathsf{5\times5=25}\\\mathsf{25\times5\times5\times5\times5}\\\mathsf{25\times5=125}\\\mathsf{125\times5\times5\times5}\\\mathsf{125\times5=625}\\\mathsf{625\times5\times5}\\\mathsf{625\times5=3,125}\\\mathsf{3,125\times5=\bf{15,625}}\\\\\\\large\text{Option A. IS NOT your answer since it's too big!}

\mathsf{ 6\times6\times6\times6\times6\times6\times6}\\\mathsf{6\times6=36}\\\mathsf{36\times6\times6\times6\times6\times6}\\\mathsf{36\times6=216}\\\mathsf{216\times6\times6\times6\times6}\\\mathsf{216\times6=1,296}\\\mathsf{1,296\times6\times6\times6}\\\mathsf{1,296\times6=7,776}\\\mathsf{7,776\times6\times6}\\\mathsf{7,776\times6= 46,656}\\\mathsf{46,656\times6=\bf{279,936}}\\\\\\\large\text{Option B. IS NOT our answer because its too big!}

\mathsf{6\times5=30}\\\\\large\text{Option C. IS NOT your answer because it is a little bit too small!}

\mathsf{56=56}\\\\\\\large\text{Option D IS most likely your answer!}

\boxed{\boxed{\bf{Thus\ your\ answer\ is: \boxed{\large\text{D) 56}}}}}\checkmark

\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\dag\dfrac{\frak{LoveYourselfFirst}}{:)}

5 0
4 years ago
True or False? A direction angle will always be a value between -90° and 90°.
Artist 52 [7]

Answer:

  False

Step-by-step explanation:

The short reason the statement is false is, "it depends on what you mean by <em>direction angle</em>".

The long reason the statement is false is that "direction angle" sometimes refers to a navigation direction that is specified in terms of compass directions. For example, you might have N20°E, or S80°E. The angle measure in such directions is 0 to 90°. It does not take on a negative value when the direction is expressed in the standard form, an angle east or west from north or south.

An arbitrary vector is an expression that has a magnitude and direction. Such a quantity can have either or both values be positive or negative and of <em>any magnitude</em>. There is no reason for direction to be restricted to values in the range ±90°.

8 0
3 years ago
Solve: 2(1-x) = 3 (2x + 1)
Agata [3.3K]
The correct answer would be -1/8
6 0
3 years ago
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