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3 years ago

Which of the following statements uses the commutative property of addition

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

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Please please please helpppp, (please show work if you can)

____ [38]

Answer:

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

m∠KIH = 68°

m∠KIJ = (2x + 6)°

m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

$\left(2x+6\right)+\left(9x-4\right)=68$

Group like terms

$2x+9x+6-4=68$

$11x+2=68$

Subtract 2 from both sides

$11x+2-2=68-2$

Simplify

$11x=66$

Divide both sides by 11

$\frac{11x}{11}=\frac{66}{11}$

Simplify

$x=6$

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

8 0

2 years ago

Write the fraction as a percent: 11/50. (Simplify your Answer.)

s2008m [1.1K]

To find the percent of a fraction you have to find the decimal first. 11/50=.22
To turn a decimal into a fraction you put the decimal two places back;22.00. The answer should be 22%

8 0

3 years ago

My partner and i are at coordinates (−20, 15) on a map. if our destination is at coordinates (35, −12), (a) what are the coordin

Scilla [17]

The rest station is the midpoint of the given coordinates:
(-20+35)/2 , for the x value and (15+-12)/2 for the y value.

Coordinates of the rest station: (7.5, 1.5)

How far is the destination? Use the distance formula : D² = √(x1-x2) + (y1-y2)
(-55)² + (27)² = D² D = √3754 = 61.27

4 0

3 years ago

in an arithmetic progression the thirteenth term is 27 and the seventh term is three times the second term,find the first term,t

GuDViN [60]

Answer:

penology

Step-by-step explanation:

8 0

3 years ago

write an equation in slope intercept form of a line passing through the point (2,-3) that is perpendicular to a line whose slope

vladimir2022 [97]

1) find slope. when its perpendicular, It will be a negative reciprocal to the given slope so m1= -1/m1
m=-1

2) $y=mx+b$
    y =-1x+b
    (-3)=-1(2)+b
     -3=-2+b
       b=-1

3) y=-1x-1

hope I helped!

6 0

3 years ago