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HACTEHA [7]
3 years ago
6

50 points! Please help me

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

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serg [7]
I’m getting (8 3/10 )
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3 0
3 years ago
What is the value of x?
USPshnik [31]
Because this is an isosceles triangle, both of the bottom angles are the same. Every triangle has a total degree of angles of 180.

56 + 56 + x = 180

112 + x = 180
-112        -112

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8 0
3 years ago
Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister's house partway between their home
Blababa [14]

Answer:

Helen: 60mph and Anne: 50mph

Step-by-step explanation:

3.2r+2.8(r-10)=332 is the equation that we use, given the information we have.

We distribute and combine like terms and add 28 to both sides and divide by 6.

3.2r+2.8(r-10)=332

3.2r+2.8r-28=332

                6r=360

             6r/6=360/6

                  r=60  So, Helen's speed is 60mph.

Next, we'll solve Anne's speed.

r-10=50

60-10=50  So, Anne's speed is 50mph.

8 0
3 years ago
4x^10 + 9x^10 what is the sum or difference
Artyom0805 [142]

Answer:

13x^1^0

Step-by-step explanation:

4x^1^0+9x^1^0

Add similar elements:

4x^1^0+9x^1^0=13x^1^0

8 0
3 years ago
What angle does the tangent to the curve y(x)=sin^2 (x/4)+12sin(x/4) at x=4_ make with the x-axis?
cluponka [151]

y(x)=sin^2 (x/4)+12sin(x/4)

y(x) = sin^2(x/7) +16sin(x/7)

From the Chain Rule,

y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).

 

At x=4pi, the slope of the tangent line is

y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).

= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)

= 2(0)(1/4)(-1) + 12(1/4)(-1)

= -3

 

The angle (in radians) that the tangent line makes to the positive x-axis is

pi - arctan(3)= 1.249 rad =71.565 degree

8 0
3 years ago
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