1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
11

What is the range of possible sizes for x?

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

<em>0.5 < x < 15.5</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem</u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

You might be interested in
REVIEW EXERCISES Find the deduction per pay period. 27. Annual cost of insurance: $6,800 Employer pays 75% 24 pay periods 28. An
Alexus [3.1K]

Answer:

I hope this is correct

6 0
3 years ago
Read 2 more answers
Find the equation of a line which passes through (2 4) with a slope of ½​
Norma-Jean [14]

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

<u>Explanation:</u>-

Given a point ( 2, 4) and slope m =  \frac{1}{2}

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = \frac{1}{2} ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

4 0
3 years ago
Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t
gayaneshka [121]

ANSWER

( -  \frac{23}{5} , - 4)

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

x = \frac{ mx_2+nx_1}{m + n}

y= \frac{ my_2+ny_1}{m + n}

Where m=3 and n=2

x = \frac{ 3 ( - 9)+2(2)}{3+ 2}

x = \frac{  - 23}{5}

y= \frac{ 3( - 6)+2( - 1)}{3 + 2}

y= \frac{  - 20}{5}  =  - 4

The point is

( -  \frac{23}{5} , - 4)

4 0
3 years ago
If f(x)=8x and g(x)=2x+1, what is (f×g)(x)
Sav [38]

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

<em>f(x)=8x</em>

<em>g(x)=2x+1</em>

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

5 0
3 years ago
Y /3 − –7 = 10 solve for y
NeX [460]

Answer:

9

Step-by-step explanation:

10+ -7

3

3 = 9/3

9

8 0
2 years ago
Other questions:
  • If there are 25 students in a class - 11 are guys and 14 are girls what is the probability that one of the students on the class
    10·2 answers
  • Which mathematical symbol would best fill in the blank to compare the two real numbers? The square root of 2 and 1.8 repeating
    7·2 answers
  • HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .
    14·1 answer
  • I need help with this ​
    13·1 answer
  • 8. If BD BC , BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.
    12·1 answer
  • Un cultivador siembra 4/5 de su granja en frijoles, 3/2 de maíz, ¿En total su granja cuanto cultivo sembrado quedo?
    13·1 answer
  • Can anyone guess what the answer of the algebraic expression is? Will mark brainliest only if you get this algebraic expression
    9·1 answer
  • Ummm can u plz tell me what u put in these boxes and um answer 4 pls ​
    15·1 answer
  • Which fraction does the colored portion of the picture represent?
    15·1 answer
  • A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevatio
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!