How do you solve this?​

X measures 30°, Y measures 67°, and Z measures 83°.

Since the sum of the measures of the angles of a triangle is 180, and the sum of the measures of the second and third angles is five times the measure of the first angle, and the third angle is 16 more than the second, for find the measures of the three angles, the following calculation must be performed, posing linear equations:

Therefore, X measures 30 °, Y measures 67 °, and Z measures 83 °.

Learn more in https://brainly.com/question/15161714

Let x, y, and z represent the measures of the first, second, and third angles of the triangle. We can create a system of equations to find the values of x, y, and z. Solving this system, we find that x = 28, y = 32, and z = 48.

Let's use x, y, and z to represent the measures of the first, second, and third angles, respectively.

The sum of the measures of the second and third angles is five times the measure of the first angle, so we have the equation y + z = 5x.

The third angle is 16 more than the second, so z = y + 16.

Since the sum of the measures of the angles of a triangle is 180, we have the equation x + y + z = 180.

Now we can solve these equations to find the measures of the three angles.

Substituting z = y + 16 into the equation y + z = 5x, we get y + y + 16 = 5x, which simplifies to 2y + 16 = 5x.

Substituting z = y + 16 into the equation x + y + z = 180, we get x + y + y + 16 = 180, which simplifies to x + 2y + 16 = 180.

Now we have a system of equations:

2y + 16 = 5x

x + 2y + 16 = 180

Solving this system, we find that x = 28, y = 32, and z = 48.

#SPJ3

Answer:

The quantity sold by Annette was $600

The quantity sold by Barb was $480

The quantity sold by Carlita was $400

Step-by-step explanation:

Let

x ----> quantity sold by Annette

y ---> quantity sold by Barb

z ---> quantity sold by Carlita

we know that

[tex]x+y+z=1,480[/tex] ----> equation A

[tex]x=y+120[/tex] ----> equation B

[tex]y+z=x+280[/tex] ----> equation C

substitute equation C in equation A and solve for x

[tex]x+(x+280)=1,480[/tex]

[tex]2x=1,480-280[/tex]

[tex]2x=1,200[/tex]

[tex]x=\$600[/tex]

Find the value of y

[tex]x=y+120[/tex]

[tex]600=y+120[/tex]

[tex]y=600-120=\$480[/tex]

Find the value of z

[tex]x+y+z=1,480[/tex]

[tex]600+480+z=1,480[/tex]

[tex]1,080+z=1,480[/tex]

[tex]z=\$400[/tex]

therefore

The quantity sold by Annette was $600

The quantity sold by Barb was $480

The quantity sold by Carlita was $400

The solution involves setting up a system of three linear equations based on the given problem. By solving these equations methodically, we find that Barb, Annette, and Carlita sold $400, $520, and $560 of clothing respectively.

The problem involves setting up and solving a system of linear equations. Here's how we approach it:

So, Barb sold $400 of clothing, Carlita sold $560, and Annette sold $520.

https://brainly.com/question/20379472

#SPJ11

Answer:

46 pieces

Step-by-step explanation:

We get n (number of pieces) as follows

n = (4.6 $) / (0.1 $/piece) = 46 pieces

Answer:

Yung bought 46 pieces of bubble gum for $4.6

Explanation:

We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums

To get the number of gums he bought, we will simply use cross multiplication as follows:

1 piece .........................> 0.1

x pieces ......................> 4.6

Therefore:

[tex]x = \frac{4.6*1}{0.1}= 46[/tex] pieces of gum

Hope this helps :)

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{"u" varies directly with "v"}}{u=kv}\qquad \textit{we know that } \begin{cases} k=0.6\\ v=7.8 \end{cases} \\\\\\ u=(0.6)(7.8)\implies u=4.68[/tex]

Answer:

$189

Step-by-step explanation:

Let their total amount of spending money be x

given that $135 they spent is 5/7 of their total spending money,

mathematically:

135 = (5/7) x     (multiply both sides by 7)

135 (7) = 5x

945 = 5x

5x = 945  (divide both sides by 5)

x = 945 / 5

x = 189

Shannon and Kelly originally had $189 as their spending money.

Let x be the original amount of spending money.

According to the problem, Shannon and Kelly spent $135 on gift certificates, which is 5/7 of the total spending money.

This can be represented by the equation: 5/7 * x = $135.

To solve for x, we can multiply both sides of the equation by 7/5 to get x = $135 * 7/5 = $189.

Therefore, Shannon and Kelly originally had $189 as their spending money.

https://brainly.com/question/35706345

#SPJ2

Answer: $12

Step-by-step explanation:

0.05 x 240 = $12

Hope this helps!

Answer:

21

Step-by-step explanation:

If she does 3 pushups every morning, than you need to multiply 3x7

3 sets of 8 pushups a day (can't forget that information!! its critical the the problem!!!) 7 days a week

3*8 = 24

24*7 = 168

168 pushups a week

Answer:

1 times 47

Step-by-step explanation:

Final answer:

The number 47 is a prime number; therefore, its prime factorization is the number 47 itself.

Explanation:

The prime factorization of a number is breaking it down into prime numbers that, when multiplied together, give the original number. For the number 47, it is actually a prime number itself, which means its prime factorization is simply 47. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. Therefore, since 47 cannot be divided evenly by any other numbers aside from 1 and 47, it does not have a prime factorization other than being considered a factor of itself.

Hey!

--------------------------------

Polygon: Heptagon

Vertices: 7

Sum of angles: 900°

--------------------------------

Solution:

158 + 120 + 139 + 121 + 125 + 126 = 789

900 - 789 = 111°

--------------------------------

Answer:

x = 111°

--------------------------------

Hope This Helped! Good Luck!

Answer:

103  

Step-by-step explanation:

Unread pages = (a) 1 - 12; (b) 32 - 46; (c) odd numbered pages from 48 - 200

The number of pages in each range is:

(a)  n₁ = 12 - 1 + 1  = 12

(b) n₂ = 46 - 32 + 1 = 15

(c) n₃ = 200 - 48 + 1 =153

Half the pages are odd-numbered.

153/2 = 76½.

200 and 48 are both even so there are more even-numbered pages in the range.

There are 77 even-numbered and 76 odd-numbered pages.

The total of unread pages is

12 + 15 + 76 = 103

Answer:

No

Step-by-step explanation:

Commutative property  does not apply on subtraction i.e.

[tex]a - b \neq b - a[/tex]

for example-

for two numbers 3 and 2

[tex]3 - 2 = 1\\[/tex] and

[tex]2 - 3 = -1[/tex]

∴[tex]2 - 3 = 3 - 2[/tex]

Answer:

8 Cups of Sugar.

Step-by-step explanation:

3x4=12 cups of water.

2x4=8 cups of sugar

Answer:

125-(-114)=239

Step-by-step explanation:

Change the subtraction to addition and change the negative in the second number to a positive (it's the opposite). Then add them. 125+114=239

CAN EXPLAIN FURTHER

Answer:

Step-by-step explanation:

<1 = <5                              Corresponding angles.

<5 + <6 = 180°                  Angles making up the same straight line are supplementary.

<1 + <6 = 180°                   <1 and <5 are equal.

<6 = 180° - <1                    If we know <1 we can easily find six. It is <1s supplement.

Answer:

The statement is false. 12 ≠ -18

Step-by-step explanation:

2(3x + 6) = 3(2x - 6)

6x + 12 = 6x - 18

-6x           -6x

12 ≠ -18

Answer:700000

Step-by-step explanation:

The number of zeros for hundred thousand is five .Thus100,000

So you start by counting the zeros from the right hand side of the figure 672000 to the left till your counting reach 5.

So wen you get to the fifth zero check the number that it falls on . Thus 7 will be that number,And since it's greater than 5 you add 1 to the prefix of the 7 which is 6 to be become 6+1=7 , hence the answer is 700000 to the nearest hundred thousand.

Answer:

700 000

Step-by-step explanation:

Andrew rounded the number 672 726 to the nearest hundred thousand.

   Hth           TH          Th           H             T           O

     ↓               ↓             ↓           ↓             ↓            ↓

    6               7              2           7              2           6

now round the number to nearest hundred thousand.

hundred thousand digit in 672726 is 7

If rounding number is greater than equal to 5 then next number increase by 1.

If rounding number is less than 5 then next number does not change.

here rounding number is 7 > 5

So, next digit 6 change to 7

Rounded number  = 700 000

672 726   → 700 000

Andrew did

672 726   → 672 000

Mistake: Rounded to thousand instead of hundred thousand

Correct rounded number = 700 000

Answer:

A.) = 40°   B.) = 90°   C.) = 53.5°   D.) = 34°   E.) = 90°   F.) = 52.9°   G.) = 90°

H.) = 59.6°   I.) = 119.1°  J.) = 30.4°   K.) = 90°   L.) = 72°   M.) = 107.3°

N.) = 47.7°  O.) = 36°   P.) = 90°

Step-by-step explanation:

All triangles are 180°

So:

A.) 72 + 68 = 140     180 - 140 = 40

The little boxes in the triangle indicates that the angle is a right angle. Right angles are 90°

B.) Is a right angle

C.) 36.5 + 90 = 126.5    180 - 126.5 = 53.5

D.) 56 + 90 = 146    180 - 146 = 34

E.) Is a right angle

F.) 95 + 32.1 = 127.1        180 - 127.1 = 52.9

G.) Is a right angle

H.) 30.4 + 90 = 120.4   180 - 120.4 = 59.6

To find angle I you have to find angle J first. So, because there is a box. That indicates that both angle equal 90°.

So you have to subtract H from 90° H = 59.6

J.) 59.6 - 90 = 30.4

I.) 30.5 + 30.4 = 60.9    180 - 60.9 = 119.1

K.) 45 + 45 = 90  180 - 90 = 90

L.) 33 + 75 = 108   180 - 108 = 72

M.) 37 + 35.7 = 72.7  180 - 72.7 = 107.3

N.) 92.3 + 40 = 132.3  180 - 132.3 = 47.7

O.) 54 + 90 = 144  180 - 144 = 36

P.) Is a right angle

Hope this helps : )

The missing angles are

A = 40°, B = 90°

C = 53.5°, D  = 34°

E = 90°, F = 52.9°

G = 90°, H = 59.6°

I = 119.1°, J = 30.4 °

K = 90°, L  = 72°

M = 107.3°, N =  47.7°

O = 36°, P = 90°

The Sum of angles in a triangle is 180 degrees. Therefore,

A = 180 - 72 - 68 = 40 degrees(sum of angles in a triangle)

B = 90 degrees(right angle)

C = 180 - 90 - 36.5 = 53.5 degrees(sum of angles in a triangle)

D = 180 - 90 - 56 = 34 degrees(sum of angles in a triangle)

E = 90 degrees(right angle)

F =  180 - 95 - 32.1 = 52.9 degrees(sum of angles in a triangle)

G = 90 degrees(right angle)

H =  180 - 90 - 30.4 = 59.6 degrees(sum of angles in a triangle)

I = 180 - 30.4 - 30.5 = 119.1 degrees(sum of angles in a triangle)

J =90 - 59.6 = 30.4 degrees

K = 180 - 45 - 45 = 90 degrees(sum of angles in a triangle)

L = 180 - 75 - 33 = 72 degrees(sum of angles in a triangle)

M = 180 - 35.7 - 37 = 107.3 degrees(sum of angles in a triangle)

N =  180 - 40 - 92.3= 47.7 degrees(sum of angles in a triangle)

O =  180 - 90 - 54 = 36 degrees(sum of angles in a triangle)

P = 90 degrees(right angle)

learn more on angles here: https://brainly.com/question/4364353

Answer:

Parallel

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{2 + 7}{ -5 + 8} = \frac{9}{3} = 3[/tex]

[tex] \frac{0 + 6}{6 - 4} = \frac{6}{2} = 3[/tex]

Both rate of changes [slopes] result in three, therefore both lines are parallel.

I am joyous to assist you anytime.

Lines can be parallel, perpendicular or neither

Both lines are neither perpendicular nor parallel

The first line passes through (-6,0) and (-4,6)

The slope (m1) of the first line is:

[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_1 = \frac{6-0}{-4--6}[/tex]

[tex]m_1 = \frac{6}{2}[/tex]

[tex]m_1 = 3[/tex]

The second line passes through (5,-2) and (8,7)

The slope (m2) of the second line is:

[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_2 = \frac{7--2}{8-5}[/tex]

[tex]m_2 = \frac{5}{3}[/tex]

None of the above conditions is true.

Hence, the lines are neither perpendicular nor parallel

Read more about perpendicular and parallel lines at:

https://brainly.com/question/12731518

$40 will be taken off the bill and you will be paying a total of $120.

Multiply 160 by .25 to find the amount taken off ($40), and then subtract from the total to find the amount that you will be paying ($120).

Have a great day!

Answer:

You will pay $120

Step-by-step explanation:

There are many methods in solving this percentage equation, but this is by far my favorite. Here is how it works.

1.Take 160, the original amount.         160

2.Then take the percent amount        .25

and convert into decimal.           ---------------------

3. Multiply the numbers                   40.00

4. Subtract the product from         160

original amount, 160.                  -    40

                                           --------------------

                                             $120

That is how I would get my answer. I am very sorry if the formatting messes up, but it is this basic problem:     160*.25=40.00 then 160-40=120

Answer:

There are 8, 5$ bills. And there are 10, 1$ bills.

Step-by-step explanation:

1 - 5

2 - 10

3 - 15

4 - 20

5 - 21

6 - 22

7 - 23

8 - 24

9 - 25

10 - 30

11 - 35

12 - 40

13 - 45

14 - 46

15 - 47

16 - 48

17 - 49

18 - 50

Answer:

4 is the answer

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Division

Add

Subtract

or PEMDAS

Answer:

Step-by-step explanation:

They let you see how one fraction compares to another for one.  Say you had 2/5 and 3/7 it may be tricky to tell which is bigger, but having the tiles will let you see that 3/7 is slightly bigger.  And there are many many more complicated  examples.  So if you know which is bigger you will know subtracting the smaller one will keep it positive, while if you subtract the larger from the smaller one it will be negative.

Also, you can then find equivalent tiles.  In the example I gave you would be able to see 2/5 = 14/35 and 3/7 = 15/35.  Which are like fractions you can subtract simply.  

Final answer:

Fraction tiles are a useful tool for subtracting unlike fractions by helping you visualize the process and find a common denominator, making the subtraction of different sized pieces understandable and accurate.

Explanation:

Fraction tiles are a visual and intuitive tool to help you understand how to subtract unlike fractions. When subtracting fractions with different denominators (unlike fractions), you cannot simply subtract the numerators because they represent different sized pieces. Fraction tiles help by providing a visual representation of different fractions and showing how they can be combined or separated into equivalent amounts with a common denominator.

To subtract unlike fractions effectively using your intuition and fraction tiles, first make sure that each fraction is represented by tiles that are all of the same size, which represent the common denominator. Once you have the common denominator for both fractions, you can easily remove the number of tiles corresponding to the smaller fraction from the larger one. The remaining tiles will show you the difference between the two fractions.

This approach will guide you in constructing the right rules for subtraction. Remember, the denominators in a fraction tell us how many equal parts the whole is divided into, while the numerators tell us how many parts we have. By using fraction tiles and aligning them to a common denominator, our intuition helps us understand the process mathematically, giving us confidence in the rules of subtracting fractions.

Answer:  [tex]\bold{w=\dfrac{6y-3}{2}}[/tex]

Step-by-step explanation:

Isolate w by performing the following steps

[tex]y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}[/tex]

Answer:24

Step-by-step explanation:

any thing that is 5 and above rouned up

Answer:

24

Step-by-step explanation:

you look at 3, look at the right and you have to round up so its 24

Answer:

Step-by-step explanation: Would the answer be y=0.80x because the x=10 and y=8??

Answer:

[tex]y=0.80x[/tex]

Step-by-step explanation:

Let x represent number of hours spent writing and y represent total pages written.

We have been given a graph that represents how the length of Julia's essay depends on the number of hours she spends writing.        

First of all, we will find slope of the line using point (0,0) and (5,4).

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-0}{5-0}[/tex]

[tex]m=\frac{4}{5}[/tex]

[tex]m=0.80[/tex]

Now, we will substitute the slope in the slope-intercept form of equation [tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

We can see that y-intercept is 0.

Therefore, our required equation would be [tex]y=0.80x[/tex].

Answer:

9w−7x−1

Step-by-step explanation:

Simplify the expression.

Answer:

I think its A because with B and C your reflecting it across the y-axis and its asking to reflect it over the x-axis while D, is a reflection and a translation

Hope I helped :)

Answer:

[tex]\large\boxed{x=-\dfrac{1}{2}=-0.5}[/tex]

Step-by-step explanation:

[tex]6-6x=2(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\6-6x=(2)(x)+(2)(5)\\\\6-6x=2x+10\qquad\text{subtract 6 from both sides}\\\\6-6-6x=2x+10-6\\\\-6x=2x+4\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-6x-2x=2x-2x+4\\\\-8x=4\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{4}{-8}\\\\x=-\dfrac{4:4}{8:4}\\\\x=-\dfrac{1}{2}[/tex]

Answer: postive

Step-by-step explanation:

To find out how much Luis would pay for 900 messages, we first determine the cost per message using the given plan ($2.00 for 80 messages) and then multiply by the number of desired messages. Luis would pay $22.50 for 900 text messages.

To solve this, first, find the cost per message by dividing the total cost by the number of messages in the plan. Then, multiply the cost per message by the total number of desired messages.

Step 1: Calculate the cost per message.
Cost per message = $2.00 / 80 messages = $0.025 per message.

Step 2: Multiply the cost per message by the total number of messages Luis wants to send.
Total cost for 900 messages = 900 messages * $0.025 per message = $22.50.

Therefore, Luis would pay $22.50 for 900 text messages in one month using this plan.