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
Grace [21]
4 years ago
15

Enter a range of values for x. 85° 25 5x - 10 [ ? ] Enter

Mathematics
1 answer:
Nataly_w [17]4 years ago
3 0
<h3>Answer: 2 < x < 7</h3>

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

You might be interested in
1)a-19=3 2) y/7=10 3)5g=100 solve please
3241004551 [841]
Are these three different questions? if so:
1: add 19 to both sides to get a = 3 +19
answer: a = 22

2: multiply both sides by 7 to get y = 10 * 7
answer: y = 70

3: divide both sides by 5 to get g = 100/5
answer: g = 20

hope this helped! good luck :)
6 0
3 years ago
What is the next term of the geometric sequence?<br> 189,63,21
Vinvika [58]

Answer:

7

Step-by-step explanation:

Common ratio of 3 so 21/3 = 7

7 0
3 years ago
Read 2 more answers
The height of Maury’s room is 8.4 feet from the floor to the ceiling. Maury wants to install a ceiling fan that hangs 1.875 feet
deff fn [24]

Answer: yes it would

Step-by-step explanation: because 8.4-1.875 is 6.525 and Maury is 6.6

7 0
3 years ago
Read 2 more answers
Jamie is looking for the rate and unit rate of the following ratio below.
bezimeni [28]

Answer: in explanation

Step-by-step explanation:

Rate is simplest form, so 3 napkins for 5 cents.

Unit rate is for 1 x value, so 1 napkin for 0,6 cents.

3 0
2 years ago
This recipe makes five portions of soup.
My name is Ann [436]

Answer:

Divide all of them by 5.

30 g onions

16 g carrots

0.5 tablespoons of oil

130 g tomatoes

0.3 I vegetable stock (whatever this is)

I hope this helps! If there are calculation mistakes, I’m sorry because I did this all in my head...

4 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has a bottom left angle of (x + 15) degrees and a bottom right angle of (x degrees). 1 parallel and horizontal line s
    13·1 answer
  • A family of five goes out to dinner and spends $114.10. This includes a 20% tip. How much did the family's server receive for a
    6·2 answers
  • Which shows the factored form of x2 – 12x – 45?
    8·1 answer
  • Find the slope of the line passing through the points (8,-8) and (4, -2).​
    6·2 answers
  • Which statement correctly describes gravity?
    14·2 answers
  • El radio de la base de un cono mide 3 cm y su altura es de 5 cm. ¿Cuál es el volumen del cono?
    5·1 answer
  • The area of a right triangle is 36 square
    5·2 answers
  • Marco decides to take out a $4,000 student loan during his first year in college. If he is charged 10% interest that is compound
    9·2 answers
  • A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
    10·1 answer
  • Who doesn't have a soul there I'm just there​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!