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aev [14]
4 years ago
8

The picture shows the Alamillo bridge in Seville, Spain. In the picture m<1=58 and m<2=24. Find the measure of the supplem

ent of <1= and of <2. Someone please help!

Mathematics
1 answer:
Anna11 [10]4 years ago
6 0

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

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pychu [463]

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

4 0
2 years ago
A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e
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Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

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iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 \times 3 \times 3  \times 2 = 48.

7 0
3 years ago
An altitude of a right triangle to its hypotenuse divides this hypotenuse into two segments that measure 9cm, and 16cm. What are
ozzi

Answer:

Step-by-step explanation:

Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem,  we get

\frac{BD}{AD}=\frac{DC}{BD}

⇒(BD)^{2}=DC{\times}AD

⇒(BD)^2=9{\times}16

⇒BD=\sqrt{144}

⇒BD=12 cm

Thus, the length of altitude is: 12 cm.

Now, \frac{AB}{AD}=\frac{AC}{AB}

⇒(AB)^{2}=220

⇒AB= 14.83 cm

Also, \frac{BC}{DC}\frac{AC}{BC}

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Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.

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3 years ago
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5 0
3 years ago
Consider a home mortgage of ​$250,000 at a fixed APR of ​4.5% for 30 years. a. Calculate the monthly payment. b. Determine the t
lianna [129]

Answer:

  a. payment: $1266.71

  b. total paid: $456, 015.60

  c. fraction to principal: 54.8%; fraction to interest: 45.2%

Step-by-step explanation:

<h3>a.</h3>

The amortization formula tells you the monthly payment is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Payment on principal P at annual rate r for t years.

  A = $250,000(0.045/12)/(1 -(1 +0.045/12)^(-12·30)) ≈ $1266.71

The monthly payment is $1266.71.

__

<h3>b.</h3>

360 monthly payments of $1266.71 will have a total value of ...

  360 × $1266.71 = $456,015.60 . . . . total amount paid

__

<h3>c.</h3>

Of course, $250,000 is paid on the principal. That percentage is ...

  $250,000/$456,015.60 × 100% ≈ 54.8% . . . to principal

The remaining fraction is paid for interest:

  100% -54.8% = 45.2% . . . to interest

8 0
2 years ago
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