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1 year ago

The segments shown below could form a triangle.

Mathematics

1 answer:

olga2289 [7]1 year ago

3 0

By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!

The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -

Solution = A. True

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* 6. You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a day.

Anni [7]

Answer:

$f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.$

Step-by-step explanation:

Let x be the number of days you want to rent

The flat rate for car rental is $35 a day

As for insurance, $10 for 3 days or fewer, and $5 per day if more than 3 days that is

$\left \{ {{10, x \leq 3} \atop {5x, x>3}} \right.$

Combine this with the flat rental rate $35 a day and we have

$f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.$

7 0

2 years ago

The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc

astra-53 [7]

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern No. of Breast

Number Exams Performed X²

1 30 900

2 40 1600

3 8 64

4 20 400

5 26 676

6 35 1225

7 35 1225

8 20 400

9 25 625

10 20 400

 ∑ 259 ∑ 7515

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

6 0

2 years ago

In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. if the length of the kitchens is 4 1/2 cm on the scale dr

rusak2 [61]

Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2

11/4 x 9/2 = 99/8 =12 3/8

OR You could use decimals

2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8

5 0

2 years ago

11. S(-4,-6) and T(-7, -3); Find R. What is the missing endpoint if S is the midpoint of RT

Nezavi [6.7K]

answer is (-7,-9)

step by step:-

S is the midpoint of RT so ,

s= $\frac{R+T}{2 }$

$-4=\frac{x-7}{2}$ , $-6=\frac{y-3}{2}$

$-14=x-7$ , $-12=y-3$

$x=-7$ , $y=-9$

R= (-7,-9)

5 0

2 years ago

Benito wrote the equations shown about the figure. Explain Benito’s errors.

Minchanka [31]

Answer:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0

2 years ago