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Grace [21]
3 years ago
15

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

Mathematics
1 answer:
Nataly_w [17]3 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.

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1) (-16, 19), (17, 20)<br> find the slope
Reptile [31]

Answer:

you have to do rise over run... y2-y1/ x2-x1.

1/33

Step-by-step explanation:

I don't know if i'm correct but thats what I got. Due to 20 minus 19 is 1. and 17 minus -16 equals 33.

4 0
3 years ago
What is the solution to the inequality -4 x &lt; 8?
alekssr [168]

<u>Answer:</u>

  • The solution of the inequality is x < -2.

<u>Step-by-step explanation:</u>

<u>Let's simplify the inequality first.</u>

  • => -4x < 8
  • => -4x/4 < 8/4
  • => -x < 2
  • => x < -2

Hence, <u>the solution of the inequality is</u><u> x < -2.</u>

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
Read 2 more answers
Bill has $25 to buy fruit from the store, He buys 10 apples and has $15 left over. What is the price for 1 apple?
ddd [48]

Answer:

1 apple = $1

Step-by-step explanation:

7 0
3 years ago
Use Cramer's Rule to solve each system.<br> 5x – 3y = 8<br> -2x - y = 10
zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5    -3    

-2   -1    

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8   -3

10   -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5   8

-2   10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0
3 years ago
Read 2 more answers
What is the value of -2(x+5)?​
bezimeni [28]
I thinks 5 because -2(x) = -2x and -2(5)=-10
So -2x=-10
-10/-2=5
X=5
7 0
3 years ago
Read 2 more answers
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