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Georgia [21]
3 years ago
7

Find the value of x and give a reason for the relationship between the angles.

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

x = 72 and they are a linear pair making them supplementary angles

Step-by-step explanation:

144 + (x - 36) = 180

108 + x = 180

<u>-108        -108</u>

x = 72

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TheUnited States geological survey suggests that loss of wetlands on Louisiana coast occurs at a constant rate for the Time peri
nikitadnepr [17]

Answer:

There is a 25% decrease in Louisiana's land area between 1932 and 2016.      

Step-by-step explanation:

We are given the following in the question:

Change in land area = 4,833  square kilometers

Estimated land area of Louisiana = 19,332 square kilometers

Percentage decrease =

\dfrac{\text{Change}}{\text{Original}}\times 100\%

Putting the values, we get,

= \displaystyle\frac{4833}{19332}\times 100\% = 25\%

Thus, there is a 25% decrease in Louisiana's land area between 1932 and 2016.

4 0
3 years ago
Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = −
rjkz [21]

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

7 0
3 years ago
Triangle abc is congruent to triangle xyz. angle a measures 50 degrees angle b measure 2 x plus 40 degrees and angle z measures
Anarel [89]

Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3

3 0
3 years ago
Helllpppp meeeee plsssssss
Ainat [17]

Answer:

The inequality \frac{8}{4}\:  is true.

Step-by-step explanation:

Given

\frac{8}{5}

FALSE

Reason: 8/5 or 1.6 is greater than 9/10 or 0.9  

1>\frac{6}{5}

FALSE

Reason: 1 is smaller than 6/5 or (1.1)

\frac{5}{2}

converting mixed number to improper fraction

\frac{5}{2}

FALSE

Reason: 5/2 can not be less than 5/2

\frac{8}{4}\:

2

TRUE

Reason: 2 is indeed smaller than 5/2 or 5.2        ∵ 5/2 = 2.5

Therefore, inequality \frac{8}{4}\:  is true.

7 0
3 years ago
Pls answer this for me, this is the remainder theorem for grade 9 so help me.
scZoUnD [109]
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
3 0
3 years ago
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