If the exterior angle of a triangle is 150 degrees, what is the adjacent interior angle

Answer:

x = 5, y = 2

Step-by-step explanation:

First, isolate y in the top equation.

[tex]y = -5.3x+28.5[/tex]

Next, substitute y in the bottom equation.

[tex]4.2x + 3.1(-5.3x + 28.5) = 27.2[/tex]

[tex]5.3x + y = 28.5[/tex]

Simplify.

[tex]4.2x + -16.43x + 88.35 = 27.2[/tex]

Combine like terms.

[tex]-12.23x + 88.35 = 27.2[/tex]

Isolate x on one side.

[tex]-12.23x = -61.15[/tex]

Isolate x.

[tex]x = 5[/tex]

Substitute x into [tex]5.3x + y = 28.5[/tex]

[tex]5.3(5) + y = 28.5[/tex]

Simplify.

[tex]26.5 + y = 28.5[/tex]

Isolate y.

[tex]y = 2[/tex]

[tex]x = 5 \\y = 2[/tex]

Answer:

x = 12, y = 4

Step-by-step explanation:

For the triangles to be congruent by HL , then

x = y + 8 → (1)

4y = x + 4 → (2)

Substitute x = y + 8 into (2)

4y = y + 8 + 4

4y = y + 12 ( subtract y from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Substitute y = 4 into (1)

x = 4 + 8 = 12

Answer:

Rate: 250 bagels per hour

3500 bagels in 14 hours

Step-by-step explanation:

It would take her 4590 seconds to jog round the track 51 times

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Kat uses 40 seconds to jog 160 m, hence:

Speed = 160 m / 40 s = 4 m/s

The track length = 140 m + 2 * (π * 70) = 360 m

Time taken to jog round the track (t) is:

4 m/s = 360 m / t

t = 90 s

To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds

It would take her 4590 seconds to jog round the track 51 times

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Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

Answer:

45%

Step-by-step explanation:

The computation of the percentage increase from the first week is shown below:

Given that

In the first week there is 3,200 views

And, in the second week, there is 4,640 views

So, the percentage increase is

= (Second week views - first week views) ÷ (first week views)

= (4,640 - 3,200) ÷ (3,200)

= 45%

Answer:

C) 3 1/4

Step-by-step explanation:

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

Answer:

A, B, C

Step-by-step explanation:

Original Equation: 5x=45

Dividing by 5 on both sides: 5x/5 = 45/5

The result: x=9

Check: 5(9)=45, 45 = 45.

Thus, the correct order of steps should be A, B, C.

Let me know if this helps!

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

Answer:

The answer is below

Step-by-step explanation:

If the quadrilateral below is a rhombus, find the missing measures.

MK = 24, JL = 20, and mZMJL = 50°

Solution:

A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.

The diagonals of a rhombus bisect each other.

NK = MK / 2 (diagonals of a rhombus bisect each other)

NK = 24 / 2 = 12

NL = JL / 2 (diagonals of a rhombus bisect each other)

NL = 20 / 2 = 10

In triangle MNL, ∠N = 90°

MN = NK = 12 , NL = 10. Using Pythagorean theorem:

ML² = MN² + NL²

ML² = 12² + 10²

ML² = 244

ML = √244

ML = 2√61 = 15.62

JM = ML  = 15.62 (all sides of a rhombus are equal)

∠KNL = 90° (diagonals are perpendicular bisectors)

∠KJL = ∠MJL (diagonals bisect angles)

∠KJL = 50°

∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°

∠MJK = ∠MLK (opposite angles are equal)

∠MLK = 100°

∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)

50 + 90 + ∠JKM = 180

∠JKM = 40°

∠JKL = 2 * ∠JKM (diagonal bisect angle)

∠JKL = 2 * 40

∠JKL = 80°

∠JKL = ∠JML (opposite angles are equal)

∠JML = 80°

Answer:

the third one

Step-by-step explanation:

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Answer:

the answer is the second one

Step-by-step explanation:

hoped I helped:)

Answer:

reflection

Step-by-step explanation:

I just got it right.

Answer:

b. 0.37

Step-by-step explanation:

it asks for everyone from 60-69 so you add the male and female together and put it into a fraction it should come out as .37/1 or 0.37

Answer:

x + y = -8

Step-by-step explanation:

Answer:

Answer:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

Answer:

0

Step-by-step explanation:

You did not move the dot over at all on the x-axis, only on the y-axis

Answer:    x is 0 and y is 3

Answer:

48

Step-by-step explanation:

Given ratio of males to females at a party is 3 : 5.

Let the numbers of males and females be 3x and 5x respectively.

According to the given description:

No of females = No of males + 13

Therefore,

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

No of people at the party

= 3x + 5x

= 8x

= 8*6

= 48

Answer:

96 seconds

Step-by-step explanation:

In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.

1. Reciprocal of [tex]\frac{1}{3}[/tex] is [tex]\frac{3}{1}[/tex] which is 3

2. multiply 32 by 3 to get your answer, 96.

I hope this helped!

Answer:

Step-by-step explanation: Answer:46.21

Step-by-step explanation:t/42.99 = 7.5/100.

Butterfly method

42.99 x 7.5 = 322.42 divided by 100= 3.22 plus 42.99 = 46.21etc

The total cost for the sweatshirt is $46.21.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Ryan wants to buy a sweatshirt for $42.99.

The sale tax rate in his city is 7[tex]\frac{1}{2}[/tex]%.

Converting mixed fraction to improper fraction,

7[tex]\frac{1}{2}[/tex] = 15/2

Let n + 42.99 be the total cost of the sweatshirt.

n = 15/2 x 42.99 / 100

n = 322.425 / 100

n = 3.22

n + 42.99 = 46.21  to the nearest cent.

Therefore, the cost with sales tax is $46.21.

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Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

5/20

divide both sides of the fraction by 5

5/5 = 1

20/5 = 4

1/4