Please help. How do I figure out the answer to this problem?
Two Angles are supplementary the larger angle is 78 degrees larger than the smaller angle find the measure of both angles.

Answer:

1st number = 17

2nd number = 18

Step-by-step explanation:

Unknown number = x

Since they are consecutive numbers, we add 1 to each other.

=> x + x + 1 = 35

=> 2x + 1  = 35

=> 2x + 1 - 1 = 35 - 1

=> 2x = 34

=> 2x/2 = 34/2

=> x = 17

So, the first number = x = 17

=> Second number = x + 1 = 17 + 1 = 18

1st number = 17

2nd number = 18

Answer:

Step-by-step explanation:

g(n) = 3n + 3

To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3

We have

g(-3) = 3(-3) + 3

= - 9 + 3

We have the final answer as

Hope this helps you

Answer:

y = -2x+3

Step-by-step explanation:

6y + 12x = 18

Subtract 12x from each side

6y + 12x -12x= 18-12x

6y = -12x+18

Divide each side by 6

6y/6 = -12x/6 + 18/6

y = -2x+3

Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

Learn more details about distance here:

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#SPJ2

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

C≈12.57 yd

A≈12.57 yd²

Answer:

The surface area is 125.66 [tex]cm^2[/tex]

Hope this helps!

Answer/Step-by-step explanation:

Given:

m<9 = 97°

m<12 = 114°

a. m<1 = m<9 (both angles are corresponding angles. Corresponding angles are congruent)

m<1 = 97° (substitution)

b. m<2 + m<1 = 180° (linear pair)

m<2 + 97° = 180° (substitution)

m<2 = 180 - 97 (subtracting 97 from both sides)

m<2 = 83°

c. m<3 = m<11 (corresponding angles)

m<11 + m<12 = 180° (linear pair)

m<11 + 114° = 180° (substitution)

m<11 = 180 - 114

m<11 = 66°

m<3 = m<11 = 66°

d. m<4 + m<3 = 180° (linear pair)

m<4 + 66° = 180° (substitution)

m<4 = 180 - 66

m<4 = 114°

e. m<5 = m<2 (vertical angles are congruent)

m<5 = 83° (substitution)

f. m<6 = m<1 (vertical angles are congruent)

m<6 = 97° (substitution)

g. m<7 = m<4 (vertical angles are congruent)

m<7 = 114° (substitution)

h. m<8 = m<3 (vertical angles are congruent)

m<8 = 66° (substitution)

i. m<10 = m<2 (corresponding angles are congruent)

m<10 = 83° (substitution)

j. m<11 = m<3 (vertical angles are congruent)

m<11 = 66° (substitution)

k. m<13 = m<5 (corresponding angles)

m<13 = 83° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 97° (substitution)

m. m<15 = m<12 (vertical angles)

m<15 = 114° (substitution)

n. m<16 = m<11 (vertical angles)

m<16 = 66° (substitution)

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a square.

we are given in this example that the side of the square is 54cm

now we know that the perimeter of a square is expressed as the summation of all its sides.

that is

perimeter = l+l+l+l

perimeter= 4l

substituting the value of l into the expression we have

perimeter= 4*54

perimeter= 216cm

From the analysis, the perimeter of the square shape was found to be 216cm

If y = x² - 3, then the slope of the tangent line at the point (2, 1) is equal to the value of dy/dx when x = 2. We have

y = x² - 3  ==>  dy/dx = 2x

so when x = 2, the slope of the tangent is 4.

This tangent passes through the point (2, 1) on the curve, so it has equation

y - 1 = 4(x - 2)

==>  y = 4x - 7

Answer: 8

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I hope this helps was wondering if I could have brainliest

Answer:

10.4

Step-by-step explanation:

add 6.3 on bothsides to get x=10.4

Answer:

Numerator.

Step-by-step explanation:

(2a¯⁵b²/ab³)¯³

To know if the constant term will be in the numerator or denominator, let us simplify the expression. This can be obtained as follow:

(2a¯⁵b²/ab³)¯³

Recall

m¯ⁿ = 1/mⁿ

Therefore,

(2a¯⁵b²/ab³)¯³ = 1/(2a¯⁵b²/ab³)³

= 1 ÷ (2a¯⁵b²/ab³)³

= 1 × (ab³ / 2a¯⁵b²)³

= (ab³ / 2a¯⁵b²)³

Recall

(mⁿ)ˣ = mⁿˣ

Therefore,

(ab³ / 2a¯⁵b²)³ = a³b⁹ / 2³a¯¹⁵b⁶

Recall

x^m ÷ x^n = x^(m–n)

Therefore,

a³b⁹ / 2³a¯¹⁵b⁶ = a^(3 - - 15)b^(9-6)/2³

= a^(3 +15) b^(9-6)/2³

= a¹⁸b³/2³

Thus,

(2a¯⁵b²/ab³)¯³ = a¹⁸b³/2³

From the above illustration, we can see that the constant term (i.e 'a' and 'b') are in the numerator.

Answer:

True

Step-by-step explanation:

∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx

We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive.  Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.

Answer:

hello exercise 26 is missing attached below is exercise 26

answer: a) 0.5  (b) 0.833 (c) 0.357  (d) 0.833

Step-by-step explanation:

A1... A3 = represents defects in system 1 to 3

A' 1 ---- A'3 = represents no defects in systems 1 to 3

P( A1 ∩ A2 ) = 0.06  ( as calculated )

P ( A1 ∩ A3 ) = 0.03 (  as calculated )

P ( A2 ∩ A3 ) = 0.02 ( as calculated )

a) Probability of having a type 2 defect

The probability of A given system having both Type 2 defect given that it has a type 1 defect is considered conditional probability

= p ( A2 | A 1 ) = [tex]\frac{P(A1 n A2)}{P(A1)}[/tex]

                       = [tex]\frac{0.06}{0.12}[/tex]  =  0.5

B) Probability of having all three defects given that it has type 1 defect

= P ( A1 ∩ A2 ∩ A3 | A1 ) = [tex]\frac{P( A1 n A2 n A3 )}{P(A1)}[/tex]

                                        = [tex]\frac{0.01}{0.12}[/tex]  =  0.0833 ≈ 0.8

C) probability of having exactly one type of defect given that it has atleast one type of defect

= P ( exactly one Ai | at least one Ai ) = 0.357

attached below is the detailed solution

D) probability of not having the third defect given that it has the first two types of defects

= P ( A'3 | A1 ∩ A2 ) = 0.833

attached below is the detailed solution

The system situation

As per the question, the system defect situation describes the exercise given in section 2.2 which shows the system has a probability of type 1 defect. The type 2 of defect is given in the system of type 1 and the chances of probability that it all has three types of defects.

The answer is 0.5, 0.83 and 035, and 0.83.

Learn more about the system defect situation.

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Answer:

B

Step-by-step explanation:

The answer is B because if you move two times to the right it gives you 0.09 like the eqution.

But scientific notation requires number without decimal, so the answer cannot be E because 0.9 is a decimal.

Just reminder: B and D have the same result!! just different coefficient

Step-by-step explanation:

The answer is B) 9 x 10^ -2

Answer:

$225.75

Step-by-step explanation:

Add up all of the hours he worked on those 4 days:

4.5 + 3.25 + 7.25 + 5.25

= 20.25

Then, multiply this by 11 to find his pay for the week:

20.25(11)

= 222.75

So, he earned $225.75 for the week

she has $13.80 every hour because 842 divided by 40 plus 12 equals 61 so then and you cant round anymore.

Answer:

Given :

→x-y=12

→xy= 3²

=9

Equation formed:

[tex] {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy[/tex]

Step by step explanation:

[tex] {(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162[/tex]

hope it helped you:)

Answer:

i think it correct

Step-by-step explanation:

Answer:

The answer is

[tex] - \frac{13}{15} \\ [/tex]

Step-by-step explanation:

[tex] \frac{7z - 12}{6 {z}^{2} - 3z } \\ [/tex]

z = - 2

Substitute the value of z that's - 2 into the above expression

We have

[tex] \frac{7( - 2) - 12}{6 ({ - 2})^{2} - 3( - 2) } = \frac{ - 14 - 12}{6(4) + 6} \\ = \frac{ - 26}{24 + 6} = - \frac{26}{30} [/tex]

Reduce the fraction with 2

We have the final answer as

[tex] - \frac{13}{15} \\ [/tex]

Hope this helps you

Step-by-step explanation:

You've got a good start.

The numerator is an order 3 polynomial, and the denominator is an order 1 polynomial.  So the result will be an order 2 polynomial, so there will be 3 terms, plus a possible remainder.

There are 2 terms in the denominator.

So draw a grid 4 boxes wide and 2 boxes tall.

Write each term in the denominator (2x and -3) down the right side.

Write each term in the numerator (2x³, x², -16x, and 15) starting at the left side and continuing along the bottom.

Boxes diagonal of each other must add up to the numerator term.  For example, the top left box is the only box in that diagonal, so that must be equal to 2x³.

Each box is the product of the term in the top row and the term in the right column.  So if the first box is 2x³, and the term at the right is 2x, then the term at the top is x².

x² · 2x = 2x³

And if the term at the top is x², and the term at the lower right is -3, then the term in the bottom left box is -3x².

x² · -3 = -3x²

And since the boxes in that diagonal add up to x², the other box must be 4x².

-3x² + 4x² = x²

Continue this pattern until all boxes are filled.

Answer:

(16.75x) + 50

Step-by-step explanation:

1.8 that is the best answer

Answer:

0.56

Step-by-step explanation:

A quotient is a quantity produced by the division of two numbers.

5 / 9 = 0.555555556

0.555555556 = 0.56

Answer:

gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:you measured the amount of rainfall incorrectly, your data about the climate would be inaccurate. Accuracy means being very precise and getting the information right. When something is inaccurate, it is the opposite of exact.

Step-by-step explanation:yw

Answer:

$33

Step-by-step explanation:

44 x 0.25 = 11

44 - 11 = 33