Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
m<A = 70 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.
m<A + m<B + m<C = 180
5x - 25 + 2x + 10 + 3x + 5 = 180
10x - 10 = 180
10x = 190
x = 19
m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70
Answer: m<A = 70 deg
The inflation rate in that country is so high that even with adjusted wages, most workers can barely pay for food and shelter. (Option E).
<h3>What is sentence correction?</h3>
Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now,
- Since the given sentence is grammatically error-free and has a sensible sentence structure, it does not need any sentence correction.
Hence, Option E is the most suitable, i.e., The inflation rate in that country is so high that even with adjusted wages, most workers can barely pay for food and shelter. (Option E).
To learn more about sentence correction, refer to the link: brainly.com/question/14632568
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Answer:
1) x < 1, x > 9
2) 2 < x ≤ 6, -4 ≤ x < 0
Step-by-step explanation:
1) lx - 5l > 4
x - 5 = 4
x = 9
-(x - 5) = 4
x = -4 + 5 = 1
x < 1, x > 9
3) 1 < lx-1l ≤ 5
1 < x-1 ≤ 5
2 < x ≤ 6
1 < -(x-1) ≤ 5
-5 ≤ x-1 < -1
-4 ≤ x < 0
