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Effectus [21]
3 years ago
5

I need help on this please

Mathematics
2 answers:
tatiyna3 years ago
8 0

Answer:

82

Step-by-step explanation:

The horizontal line BD is a straight line bisected by the vertical line.  Since it is a straight line, the two angles ACB and ACD must add up to 180.

So angle ACB is 180 - 98  = 82

iren [92.7K]3 years ago
6 0

Answer:

m∠ACB = 82°

Step-by-step explanation:

m∠ACB = 180° - m∠ACD

∠ACB and ∠ACD are supplementary, which add up to 180°

m∠ACB = 180° - 98°

m∠ACB = 82°

-Chetan K

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kobusy [5.1K]

Answer:

b = -8

Step-by-step explanation:

crossmultiply

6 0
3 years ago
Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act
melamori03 [73]

Answer:

<u>87,120 ft²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) =  880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

6 0
3 years ago
Which of the following is the best answer to 4/5 minus 2/3
ella [17]

Answer:

2/15

Step-by-step explanation:

4/5-2/3 = 12/15-10/15 = 2/15

So 2/15 is your answer

6 0
3 years ago
Read 2 more answers
In the table adam recorded the miles he travled each day while traveling from Florida to California. Calculate the average rate
blagie [28]

Hi!

<em>To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:</em>

<em />

Now, when we plug it in the equation, it looks like this:

\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5

Therefore, your answer is 346.5 or, rounded, 347.

<em><u>Meaning, your answer is C</u></em>

<em><u></u></em>

Hope this helps and have a great day! :D

5 0
3 years ago
Estimate the perimeter of the figure to the nearest whole number.
Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9.

4 0
3 years ago
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