Step-by-step explanation:
3/8 = 15/40= 75/200
2/5 = 16/40 = 80/200
-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200
A furniture maker uses the specification 19.88 ≤ w ≤ 20.12
The absolute value inequality is
Given :
A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer
We need to write the given inequality in absolute value inequality
if then absolute value inequality is
To find out value of 'a' and 'b' we need to use the given inequality
compare a-b<x<a+b with given inequality
Solve for 'a' and 'b'
Add both equations
Now find out b
The required absolute value inequality is
Learn more : brainly.com/question/1770168
The correct answer is:
|w-20| ≤ 0.12.
Explanation:
We first find the average of the two ends of the inequality:
(19.88+20.12)/2 = 40/2 = 20
This will be the number subtracted from w in the inequality.
Now we find the difference between this value and the ends:
20-19.88 = 0.12
20.12 - 20 = 0.12
This will be what our absolute value inequality ends with; the "answer" part, so to speak.
Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."
This gives us
|w-20| ≤ 0.12
Answer:
∠ADB = γ/2 +90°
Step-by-step explanation:
Here's one way to show the measure of ∠ADB.
∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD
∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY
Substituting for (α + β) in the second equation, we get ...
∠ADB + 3(180° - ∠ADB) + γ = 360°
180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°
∠ADB = γ/2 + 90° . . . . . . . divide by 2
_____
To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.
Answer:
Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis
Step-by-step explanation:
We are given Pentagon ABCDE.
with vertices as:
A (-4,-2) , at B(-6,-3) at C (-5,-6), at D (-2,-5) at E (-2,-3)
and the pentagon A'B'C'D'E' with vertices as:
A'(3,1) , B'(1,2) , C'(2,5) , D'(5,4) and E'(5,2).
Clearly we could observe that the image is formed by the translation and reflection of the pentagon ABCDE.
First the Pentagon is translated by the rule:
(x,y) → (x+7,y+1) so that the pentagon is shifted to the fourth coordinate and then it is reflected across the x-axis to get the transformed figure in the first coordinate plane as Pentagon A'B'C'D'E'.
Hence, the answer is:
Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis
Answer:
5/3
Step-by-step explanation:
The slope is the coefficient next to the x. Therefore, the slope is 5/3.
Answer:
m= 5/3
Step-by-step explanation:
Math wizzz
Worked it out
And online calculator verified!