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sveticcg [70]
1 year ago
7

HELP DUE TOMORROW GUYS

Mathematics
1 answer:
kakasveta [241]1 year ago
6 0

Answer:

x = 15

Step-by-step explanation:

8x + 9 and 51 are same- side interior angles and sum to 180° , then

8x + 9 + 51 = 180

8x + 60 = 180 ( subtract 60 from both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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EXPERTS/ACe/GENIUSES <br> Ill mark as brainlist if correct
katrin2010 [14]
It's probably the first one: "People responded to Earth Day with letters..."
Since it's more of a detail that supports a fact, it's not as important as the other three.
3 0
4 years ago
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=85°, and MK = 6.9 feet. Find the length of KL to the nearest tenth of a foot.
liq [111]
First take 180-90-85=5 for L angle then we can take tan(85)=ML/6.9, 6.9(tan(85))=ML. So ML=78.87ft. Now we can use Pythagorean theorem to find our KL so KL = sqrt((78.87)^2+(6.9)^2) and we get our answer KL=79.17ft. Hope it helps
3 0
3 years ago
Read 2 more answers
The table represents a function.
zavuch27 [327]

Answer:

The correct option is 3. The rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

​y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table. Option 3 is correct.

7 0
4 years ago
Read 2 more answers
show that if the diagonals of a quadrilateral are equal and bisect each other at right angles then it is a square​
zvonat [6]

Answer:

Given,

Diagonals are equal

AC=BD                  .......(1)

and the diagonals bisect each other at right angles

OA=OC;OB=OD           ...... (2)

∠AOB= ∠BOC= ∠COD=  ∠AOD= 90  

0

    ..........(3)

 

Proof:

Consider △AOB and △COB

OA=OC  ....[from (2)]

∠AOB= ∠COB

OB is the common side

Therefore,

△AOB≅ △COB

From SAS criteria, AB=CB

Similarly, we prove

△AOB≅ △DOA, so AB=AD

△BOC≅ △COD, so CB=DC

So, AB=AD=CB=DC               ....(4)

So, in quadrilateral ABCD, both pairs of opposite sides are equal, hence ABCD is  parallelogram

In △ABC and △DCB

AC=BD            ...(from (1))

AB=DC            ...(from $$(4)$$)

BC is the common side

△ABC≅ △DCB

So, from SSS criteria, ∠ABC= ∠DCB

Now,

AB∥CD,BC is the tansversal

∠B+∠C= 180  

0

 

∠B+∠B= 180  

0

 

∠B= 90  

0

 

Hence, ABCD is a parallelogram with all sides equal and one angle is 90  

0

 

So, ABCD is a square.

Hence proved.

Step-by-step explanation:

4 0
3 years ago
Fill in the blanks for each box
Aliun [14]

Answer:

hi

Step-by-step explanation:

7 0
3 years ago
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