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Usimov [2.4K]
3 years ago
5

5x+15y=75 in standard form

Mathematics
2 answers:
Darya [45]3 years ago
3 0
It would be x+3y=15. Best of luck
AleksandrR [38]3 years ago
3 0
5x+15y=75
-5x -5x
15y=-5x+75
Divide the Both sides with 15
Y=-1/3x+5
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Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
F(x)= -1/3x+13 when value is f(-3)
almond37 [142]

Answer:

14

Step-by-step explanation:

f(x)=-1/3x+13

f(-3)=-1/3(-3)+13

f(-3)=3/3+13

f(-3)=1+13

f(-3)=14

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2 years ago
The Park Protectors is a group of elementary students and teachers from
tino4ka555 [31]

Answer:

Step-by-step explanation:87

7 0
2 years ago
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Determine whether each relation is a function.
Vitek1552 [10]
1- not a function; 3 in the domain is repeated
2- a function
3- a function
4- a function
3 0
2 years ago
11. Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg
Bad White [126]

Answer:

12

Step-by-step explanation:

we use Pythagoras law

√13^2-5^2

8 0
3 years ago
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