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Lady_Fox [76]
3 years ago
10

If sin (x + y) = 1 and cos (x - y) = √3/2, then x =​

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

reference attached

hope it helps you<3

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X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of
sladkih [1.3K]
X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5
3 0
3 years ago
Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof
ivann1987 [24]

Answer: Yes

Step-by-step explanation:

The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)

7 0
3 years ago
What is 12% of 85 im having a hard time with this question
professor190 [17]
The answer is 10.2.
Since it's a percentage, you move the decimal two places to the left which gives you 0.12. Then, you multiply that by 85 and you get 10.2.
3 0
3 years ago
Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

4 0
3 years ago
What two formulas are necessary to find the area of a segment of a circle?
tresset_1 [31]

Answer:

They are: area of sector and area of triangle

Step-by-step explanation:

Area of segment=area of sector - area of triangle

So we need both the area of sector and area of triangle to calculate for the area of a segment

8 0
3 years ago
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