Select the correct answer.

In a figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°?

Answer:

1: m=2

2: g=7

3: y=13

4: a=-27

5: x=15

6: w=-18

Answer:

1. m = -2  

2. g = 7  

3. y = 13      

4. a = -36  

5. x = 15

6.  w = -18                                                                                                                                            

Step-by-step explanation:

1. Make the constant to the right-hand side and change its sign

a = 10 - 12

Calculate the difference a = -2

Solution

a = -2

2. Move variable to the left-hand side and change its sign

-g - 2 = - 9

Move constant to the right-hand side and change its sign

-g = -9 + 2

Calculate the sum

-g = -7

Change the signs on both sides of the equation

g = 7

Solution

g = 7

3. Divide both sides of the equation by - 7

-7y ÷ (-7) = -91 ÷(-7)

Any expression divided by itself equals 1

y = 91 ÷ (-7)

Divide two negatives equals a positive: (-) ÷(-)=(+)

y = 91 ÷ 7

Calculate the quotient

y = 13

Solution

y = 13

4. Multiply both sides of the equation by 9

9 x a/9 = 9 x (-4)

Reduce the number with the greatest common factor 9

a = 9 x (-4)

Multiply a positive and a negative equals a negative: (+)x(-)=(-)

a = -9 x 4

Multiply the numbers

a = -36

Solution

a = -36

5. Multiply both sides of the equation by 3/2

3/2 × 2/3x =  3/2 × 10

Reduce the numbers with the greatest common factor 3

1/2 × 2x = 3/2 × 10

Reduce the numbers with the greatest common factor 2

x = 3/2 × 10

Reduce the numbers with the greatest common factor 2

x = 3 x 5

Multiply the numbers

x = 15

Solution

x = 15

6. Multiply both sides of the equation by 9/4

9/4 x 4/9w = 9/4 x (-8)

Reduce the numbers with the greatest common factor 9

1/4 x 4w = 9/4 x (-8)

Reduce the numbers with the greatest common factor 4

w = 9/4 x (-8)

multiplying a positive and a negative equals and negative: (+)x(-)=(-)

w = -9/4 x 8

Reduce the numbers with the greatest common factor 4

w = -9 x 2

Multiply the numbers

w = -18

Solution

w = -18

Answer:

B

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

how, because 3 is 12, 4 is 16 because multiply by 4

Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

Given parameters:

Number of pencils = [tex]4\frac{1}{2}[/tex] pencils

Time taken = [tex]3\frac{1}{3}[/tex] minutes

Unknown:

Number of pencils produced in 1 minute;

Solution:

To solve this problem, let us first find the rate of the machine;

       Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]

       Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex]   = [tex]\frac{9}{2} x \frac{3}{10}[/tex]   = [tex]\frac{27}{20}[/tex] pencils/minute

Now, number of pencils produces in 1 minute;

            Number of pencils  = rate of machine x time taken

             Number of pencils = [tex]\frac{27}{20}[/tex]  pencils/ min x 1 min

             Number of pencils = [tex]\frac{27}{20}[/tex]pencils

The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]

Answer: the answer should be lower than because this is the percentage of people who get diagnosed with a disease that is not lupus 0.465 so about 50% or 0.5 hopefully that help I don't know the answer for the amount of people who don't have it and get misdiagnosed there is no information on it based on what I've seen  

Step-by-step explanation: Its based on a study from the Lupus Foundation of America

Answer:

40%

Step-by-step explanation:

It went down by 10 ml.

40% of 25 is 10, so te answer would be 40%

Answer:

60%

Step-by-step explanation:

Part/whole method:

[tex]\frac {15} {25} = \frac {p} {100}[/tex]

15·100=1,500

1,500÷25=60

15 is 60% of 25

Answer:

(19-20)/20 = -.05 or a decrease of 5% (-5%)

Step-by-step explanation:

(final number - initial number) / initial number * 100

Answer:

9x

Step-by-step explanation:

Answer:

The size of the wing and the size of the horizontal stabilizer

Step-by-step explanation:

Answer:

2:1, 4:2, 6:3, 8:4, 10:5, etc.

Step-by-step explanation:

Answer:

12 : 6 24 : 12 36 : 18 48 : 24 60 : 30

2:1 (just to name a few, Let me know if one the answer)

Step-by-step explanation:

multiply both by a number, kinda like a fraction.

Answer:

x

=

4

or

x

=

−

4

Explanation:

First divide throughout by

2

to get

x

2

=

16

Now take the square root on both sides to get

x

=

±

4

.

You may now substitute the values of

x

=

4

and

x

=

−

4

back into the original equation and check that it satisfies the equation which it does.

Step-by-step explanation:

Answer:

x= -3 , x=5

Step-by-step explanation:

4|2x-2|=32

|2x-2|=8

2x-2=8

2x-2= -8

x=5

x=-3

Answer:20 packets

Step-by-step explanation: 30,000/ 1500=20

Answer:

20 packets (answer)

Step-by-step explanation:

= 30,000/1500 = 20

=20 packets

( Glad to help:)

Answer:

Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....

Answer:

67

Step-by-step explanation:

the negative 4 cancels out with subracting turning it into an addition problem

Hello.

We are subtracting a negative number.

When we subtract a negative number, it cancels itself out, and it becomes an addition problem.

63-(-4) becomes 63+4

63+4 = 67

67 is the final answer.

Answer:a

Step-by-step explanation:

Answer:

f'(a) = -4

Step-by-step explanation:

f(x) = 3 − 4x

Take the derivative of the function

f'(x) = -4

f'(a) = -4

Answer:

n = 2/9

Step-by-step explanation:

switch sides: 63n=14

divide both sides by 63: 63n/63 = 14/63

simplify: n = 2 / 9

Answer:

english please

Step-by-step explanation:

Answer:

44041.03

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 12400(1 + .43/12)^12(3)

   = 12400(1.03583333)³⁶

   = 12400(3.55169589)

   = 44041.029

Answer:

200

Step-by-step explanation:

Answer:

100+100 is 200 because if you add 100 to another 100 you will get 200 :)

9514 1404 393

Answer:

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

  180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

  360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

  S = 180·C²

__

The safe load for C=10 is then ...

  S = 180·10² = 18,000 . . . pounds

Answer:

I didn't got the ans but u can ask it to google assistant she is smarter than me

Answer:

0.8x - 1.6y

Step-by-step explanation:

Step 1: Write expression

0.3(x - 2y) + 0.5x - y

Step 2: Distribute 0.3

0.3x - 0.6y + 0.5x - y

Step 3: Combine like terms

0.8x - 1.6y

Answer:

0.8x - 1.6y

-step explanation:

Answer:

5

Step-by-step explanation:

5 would be your exponent because you count the number of zeros in the number and that is how many times you time 10 by 10

Answer:

It will take 26.34 minutes for the population to reach 5 times its initial value

Step-by-step explanation:

Exponential Growing

The population of bacteria grows at a rate expressed by the equation:

[tex]f(t)=256e^{0.06111t}[/tex]

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

[tex]f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256[/tex]

Now we find the time when the population is 5*256=1,280. The equation to solve is:

[tex]1,280=256e^{0.06111t}[/tex]

Dividing by 256:

[tex]e^{0.06111t}=1,280/256=5[/tex]

Taking natural logarithms:

[tex]ln\left(e^{0.06111t}\right)=ln5[/tex]

Applying the logarithm properties:

[tex]0.06111t=ln5[/tex]

Solving for t:

[tex]t=ln5/0.06111=26.34[/tex]

It will take 26.34 minutes for the population to reach 5 times its initial value

Answer:

is it two m plus eight m?

Answer:

y = 4x + 9

Step-by-step explanation:

First, find the slope of the line, which is the change in y/the change in x:

(-11-1)/(-5-(-2)) = -12/-3 = 4

That leaves you with the equation:

y = 4x

But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:

y = 4x + 9

I hope this helped.

Answer:

Step-by-step explanation: -15/9 my teacher told me

Answer:

5

Step-by-step explanation:

The function intersects the y-axis at 1, and its slope is 1, so the function of the graph is y = x+1. Plugin 4, and you get y = 5.