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aivan3 [116]
3 years ago
6

Inequality 5+m>4 or 7m<-35

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0
5+m > 4\ or\ 7m < -35\\\\\#1\\5+m > 4\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\m > -1\\\\\#2\\7m < -35\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\m < -5\\\\Answer:m\in(-\infty;-5)\ \cup\ (-1;\ \infty)
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What is the measure of m&lt;1 will ensure that the rail is parallel to the bottom of the staircase?
cricket20 [7]

You can observe that angle 1 and angle with 47° are inside a parallelogram.

Consider that the sum of the internal angles of a parallelogram is 360°.

Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.

Consider that angle down right side is congruent with angle 1, then, they have the same measure.

You can write the previous situation in the following equation:

47 + 47 + ∠1 + ∠1 = 360 simplify like terms

94 + 2∠1 = 360 subtract both sides by 94

2∠1 = 360 - 94

2∠1 = 266 divide by 2 both sides

∠1 = 266/2

∠1 = 133

Hence, the measure of angle 1 is m∠1 = 133°

6 0
11 months ago
A man deposited $ 800 in his account at a bank which offers 6% simple interest per annum. How much interest would he receive on
strojnjashka [21]

Answer:

The answer is Rs.43,200.

5 0
3 years ago
Solve the following system of equations by the substitution method.
Dahasolnce [82]

Answer:

Step-by-step explanation:

5x=y+6   --------- equ 1

2x-3y=4  -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute  in equ 1

5*14/13 = y+6  

70/13 - 6 = y

y =  ( 70 - 78)/13

y = -8/13

6 0
2 years ago
Question Progress<br> Homework Progress<br> 4/<br> Work out the size of angle x.<br> 105<br> 140
agasfer [191]

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

x + (180 - 105) + (180 -140) = 180

x + 75 + 40 = 180

x = 180 -75 - 40

x = 65

5 0
3 years ago
Please help with these 3 thank you, you will get brainleiest for the most detailed and/or answering the questions:)
jekas [21]
2.) Given: There are 30 students. 24 are wearing sneakers.

Work: We can figure this out by finding the exact percentage of sneaker-wearers in the class.

To find the percentage, you do 24/30. 24/30 is equal to 80%.


Answer: Joe is wrong. The percentage of students wearing sneakers is 80% and not 70%.


3.) Given: There are 40 people total. 2 women per 3 men.

Work: 2:3 women to men

If we multiply both by 10, we will get 50 people in total.

20:30 = 50

So we need to shrivel this down to 40 by taking out 5 on both sides of the ratio.

50 - 5 - 5 = 15:25 = 40

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Answer: 7/25


3 0
3 years ago
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