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7nadin3 [17]
3 years ago
15

What is the value of k

Mathematics
1 answer:
inysia [295]3 years ago
4 0
Angle ZYX=180-115=65
in triangle sum of angles =180
so
4k+5+6k+10+65=180
10k+80=180
10k=180+80=260
k=260/10
k=26
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PLEASEEEE HELPPP!!! I WILL MARK U BRAINLIEST!
umka2103 [35]
The answer will be 9/40
4 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
3 years ago
David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank
Serhud [2]

Answer:

It should be 14400 square inches. Sorry if i'm wrong

3 0
3 years ago
Simplify. -10m+2m^4-13m-20m^4
Ulleksa [173]
First one:

you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so

when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)

-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m


add
-10m-13m+2m^4-20m^4
-23m-18m^4




second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms

(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8

8 0
3 years ago
These are the options<br> (0,-5)<br> (4,-2)<br> (8,2)<br> (-16,-17)<br> (-1,-8)<br> (-40,-34)
Liono4ka [1.6K]
All you need to do is plug in the points!

Here we go:

3(0)- 4(-5)-8

If it equals 12, then it is a point and an answer. 

3(0)- 4(-5)-8= 12 

(0,-5) is a point!

Next one:

3(4)-4(-2)-8

12+8-8
That equals twelve. (4,-2) is an answer as well!

I am going to quickly plug in the rest of the points, since I think you have the idea. 
<span>(8,2)  3(8)-4(2)-8= 8 This is not an answer. 
(-16,-17)  3(-16)-4(-17)-8 = 12 This is answer. 
(-1,-8)      3 (-1)-4(-8)-8= 21 This is not an answer. 
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.
</span>
I hope this helped you!

Brainliest answer is always appreciated!
3 0
3 years ago
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