Find the value of the trigonometric ratio Sin C

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

angle 1 = 180-110 = 70 degrees (linnear pair)

angle 2= 180-115 = 65 degrees (linnear pair)

angle 3 = angle 2 = 65 degrees (corresponding angles)

angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)

(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)

angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees

angle 6 = angle 7 = 45 degrees ( vertical angles)

angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)

angle 9 =angle 6 = 45 degrees (corresponding angles)

angle 5=angle 9=45 degrees (vertical angles)

Answer:

a.

Step-by-step explanation:

girls 60/50

boys 40/50

40/50 is 10

Answer:

56%

Step-by-step explanation:

9 girls + 5 boys have cameras on

this is 14 out of 25, or 56%

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Answer:

Step-by-step explanation:

5

Answer:

k = 7

Step-by-step explanation:

The goal is to solve for the variable k in this problem.

To do this, we need to get k by itself!

2k + 16 = 30

Start by subtracting the 16 over from the left side to the right

2k + 16 - 16 = 30 - 16

Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).

2k = 14

Then finish by dividing both sides by 2 to get k by itself.

[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]

Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).

k = 7

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]

[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{3k = 30 - 16}[/tex]

[tex]\mathbf{2k = 14}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]

[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{14}{2}}[/tex]

[tex]\mathbf{x = 14\div2}[/tex]

[tex]\mathbf{x = 7}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

12 divide by 2+1

2+1=3 so

12/3

4

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

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Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7

Answer:

E = 80 degrees

Step-by-step explanation:

7x + 3 + x + 15 + 74degrees = 180

8x + 92 = 180

8x = 180 - 92

8x = 88

x=11

m<E = 7x + 3

7(11) + 3

77 + 3

= 80

Answer:

1

Step-by-step explanation:

Find the rise over run

Rise = 3

Run = 3

3/3 = 1

Slope = 1

Answer:

1

Step-by-step explanation:

First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1

Hope this helps

Answer:

your y intercept is 90 and the equation would be y= 90 and x is unknown

Answer:

x is 24

Step-by-step explanation:

5x+60=180

5x=120

x=24

Answer:

The answer is 2.89 in 2dp

3 cube is 27

27 minus 6.8 is 20. 2

20. 2 decide by 7 is 2.89

Answer:

  the answer would be 3

Step-by-step explanation:

Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.

Answer:

For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure 60˚.

Step-by-step explanation:

Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

Hi!! I'd love to help!!

The slope of your points is 2.

When we use the slope intercept formula (y=mx+b), we get y=2x-2.

So the answer to your question is C

Hope this helps!! Let me know if you need any more help or have questions/concerns.

Answer:

Please include the details of the angle

Step-by-step explanation:

When the angle is 93 degrees, the the angle is a obtuse angle. option B is correct.

Given that the measure of angle A is 93 degrees, we can classify the angle as follows:

Angle A = 93 degrees

We know that if angle is less than 90 degrees, it is acute.

if angle is greater than 90 degrees, it is obtuse.

if angle is equal to 90 degrees, it is right angle.

Since the angle measures greater than 90 degrees, it falls within the range of an obtuse angle.

Therefore, the correct classification for angle A is obtuse.

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The measure of angle A is 93. Classify the angle as acute, right, obtuse, or straight

A acute

B right

C obtuse

D straight

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

9514 1404 393

Answer:

  x = 2 m

  y = 30°

Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

  x = DF = 1/3(AB) = (1/3)(6 m)

  x = 2 m

__

Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.

  y = ∠B = ∠E = 30°

  y = 30°