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VMariaS [17]
3 years ago
15

Compare the given dimensions of four triangles. Which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft

side lengths of 2 ft, 11 ft, and 15 ft side lengths of 3 ft, 7 ft, and 11 ft side lengths of 4 ft, 8 ft, and 15 ft
Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0
(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13  so yes, it can be constructed.
serg [7]3 years ago
4 0

Answer:

a

Step-by-step explanation:

just know this is 100% correct

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Use the distributive property to simplify each expression <br> 2/3(69-9)
7nadin3 [17]
The answer would be 40.
Do 69-9 which gives you 60. And then 2/3 / 60 (divide 60 by 3) and you get 20. 20*2=40
5 0
3 years ago
If a number ends with 0, then it is divisible by 10. What is the contrapositive of this statement?
ryzh [129]
The answer is C.
Because when dealing with a contemplative you state the statement but first you flip the words. Then you change it from saying:
Example-
I can
To I can't
Hope that helped you understand it more
5 0
3 years ago
Hey everyone i was trying to setup this problem but I’m stuck can someone tell me setup for number 15 and 16 explain if you can
STatiana [176]

Answer:

15. x = 10 3/11

16. ∠Q = 75°

Step-by-step explanation:

<h3>15.</h3>

The two base angles of the isosceles triangle are congruent, so both are 180°-8x. The sum of those, together with the apex angle, will be 180°.

... 2(180 -8x) + (5x -67) = 180

... 360 -16x +5x -67 = 180 . . . . . eliminate parentheses

... -11x = -113 . . . . . subtract 293

... x = 113/11 = 10 3/11

_____

<em>Note on the solution</em>

This value of x makes the interior base angles of the triangle be 97 9/11°. The apex angle is then -15 7/11°. The solution is correct—all the angles add up properly—but the geometry cannot exist.

_____ _____

<h3>16.</h3>

The approach is the same. The sum of the two congruent base angles and the apex angle is 180°.

... 2(2x+15) + x = 180

... 5x + 30 = 180

... x = (180 -30)/5 = 30

... (2x +15)° = (2·30 +15)° = 75° = angle Q

5 0
3 years ago
Which box shows a relationship where the constant of proportionality is 64?
Sever21 [200]

Answer:

C

Step-by-step explanation:

Constant of proportionality = \frac{y}{x}

Let's find out which if the boxes will give us 64 as constant of proportionality.

A. \frac{y}{x} = \frac{11}{2} = 5.5 ≠ 64

B. \frac{y}{x} = \frac{5}{15} = \frac{1}{3} ≠ 64

C. \frac{y}{x} = \frac{16}{\frac{1}{4}} = 16*\frac{4}{1} = 64 ≠ 64

D. \frac{y}{x} = \frac{\frac{3}{7}}{3} = \frac{3}{7}*\frac{1}{3} = \frac{1}{7} ≠ 64

E. \frac{y}{x} = \frac{2}{-10} = -\frac{1}{5} ≠ 64

F. \frac{y}{x} = \frac{21}{6} = \frac{7}{2} ≠ 64

G. \frac{y}{x} = \frac{4}{8} = \frac{1}{2} ≠ 64

From the boxes given, box C is the only box that shows us a relationship where the constant of proportionality is 64.

7 0
3 years ago
What is the equation of the midline for the function f(x) ?
Inessa05 [86]

let's recall the graph of sin(x), is simply a sinusoidal line waving about, but its midline is at the x-axis, namely y = 0.

this equation is simply a transformation of it, the 1/2 changes the amplitude by half, midline stays the same though, the +3, moves the whole thing upwards, a vertical shift of 3, meaning the midline went from 0 to 3, y = 3.

5 0
3 years ago
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