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Anettt [7]
3 years ago
6

If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

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The blood mass of a mammal is proportional to its body mass. A rhinoceros with body mass 3000 kilograms has blood mass of 150 ki
coldgirl [10]

Answer:

The equation which equates the two is M  = \frac{B}{20}  = 0.05B

A human with a body mass of 80 kilograms will have a blood mass of 4 kilograms.

Step-by-step explanation:

It is said that the blood mass is proportional to the body mass.

We can say that the blood mass of a mammal is M, and that the body mass of a mammal is B.

Since the two are proportional we can write

M  ∝ B   , or M = kB    where k is the constant of proportionality.

Using the given values for a rhinoceros we can write

150 = k × 3000

Therefore k = \frac{150}{3000} = \frac{1}{20}  = 0.05

Therefore the equation which equates the two is M  = \frac{B}{20}  = 0.05B

A human with a body mass of 80 kilograms will have a blood mass of

= \frac{80}{20}  = 4 kilograms

8 0
4 years ago
The assistant manager of a surf shop estimates that 65% of customers will make a purchase. Part A: How many customers should a s
Ivan

Answer:

A) 2

B) 0.239

Step-by-step explanation:

Part A) Expected value of a binomial distribution is the number of trials times the probability of success.

X = np

Given X = 1 and p = 0.65:

1 = 0.65n

n = 1.54

Rounding up, a salesperson should expect 2 customers until he finds a customer that makes a purchase.

Part B) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given n = 3, r = 1, p = 0.65, q = 0.35.

P = ₃C₁ 0.65¹ 0.35³⁻¹

P ≈ 0.239

Or, using binompdf function in a calculator:

binompdf(n, p, r)

= binompdf(3, 0.65, 1)

≈ 0.239

3 0
3 years ago
Please help me thank you
Lina20 [59]
Find the hypotenuse.a square+ b square=c square. for both. and which ever is higher is harder to climb
4 0
4 years ago
.
marusya05 [52]

Answer:

i)

Find the attached

ii)

The mathematical model that best fits the data is;

The quadratic model

Step-by-step explanation:

i)

A scatter-plot can easily be constructed using applications such as Ms. Excel.

In Ms. Excel, enter the data into any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.

Excel returns a scatter-plot chart as shown in the attachment below.

ii)

After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.

Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.

Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.

Find the attached for the various trend-lines fitted.

The mathematical model that best fits the data is;

The quadratic model

Since it has the largest R-squared value of 1.00

4 0
3 years ago
Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)
ryzh [129]

Answer:

Step-by-step explanation:

17) HI ≅ UH   ;   GH  ≅  TU     ; GI  ≅ TH

ΔHGI  ≅ ΔUTH                by Side Side Side congruent

∠G  ≅  ∠T   ; GI  ≅  TH  ; ∠GIH  ≅ ∠THU

ΔHGI  ≅ ΔUTH                by Angel Side Angle congruent

19) IJ ≅ KD   ;  IK ≅ KC   ; KJ ≅ CD

ΔIJK ≅ ΔKDC             by Side Side Side congruent

∠J ≅ ∠D    ; IJ ≅ KD ;  ∠I ≅ ∠DKC

ΔIJK ≅ ΔKDC             by Angle Side Angle congruent

7 0
3 years ago
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