In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

In The Diagram Below, ST Is Parallel To QR. Angle P Is 40 Degrees, And QST Is 2R+8. Find The Measure

Answers

Answer 1

Answer:

148º

Step-by-step explanation:

Use the information given:

The measure of a straight line is 180º. So angle PST=180-(2R+8)Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.Combine like terms, 212-R=180Subtract, -R=-32Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

32º+72º+108º+STR=360ºCombine like terms, 212º+STR=360ºSubtract, STR=148º

Related Questions

Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?

Answers

Y = 2x + b
7 = 2(3) + b
7 = 6 + b, b = 1
Solution: the y intercept is 1

A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused

Answers

Answer:

b) The average speed at which he travelled for the whole journey

Step-by-step explanation:

If he had travel 200- km/h and had broke down by which was at 10:30 a.m  you would have to subtract 200 km/h to 10:30  your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
This data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days.

{10, 9, 6, 12, 4, 6, 7, 8, 15, 14, 12, 9, 10, 5}.

The difference of the values of the first and third quartiles of the data set is
(blank)

Answers

Answer:

6

Step-by-step explanation:

The interquartile range is the 3rd quartile - the 1st quartile.

Quartiles  Quartiles:

Q1 -->               6

Q2 -->              9

Q3 -->              12

Thus 12-6 = 6

please give thanks :)

Answer:                                                              ^

6 took test thanks to the person above me   |

Step-by-step explanation:

Which equation can be used to find 75 percent of 200? HELPNOWW

Answers

Answer:.75x200

Step-by-step explanation:

Answer:

75/200*100

Step-by-step explanation:

Mr. Vaughn set aside $200 of his income each month for years toward home repairs. He spent 30% of the money he set aside to replace a broken water heater. How much of the money he set aside did Mr. Vaughn have left after paying for the water heater?

Answers

Answer:

The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

Step-by-step explanation:

In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:

$200*30%=$60

Now, you have to subtract the amount that represents the 30% from the amount he set aside:

$200-$60=$140

According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?
x=-15
x=-10
x=1
x= 15

Answers

The answer is x=15. Hope this helps

Answer:

x=15

Step-by-step explanation:

For the given figure, write the conclusion for the statements ∠XYZ ≅ ∠ABC and ∠CBD ≅ ∠ABC.

Question 6 options:

∠CDB ≅ ∠ABD


∠ABC ≅ ∠CDB


∠XYZ ≅ ∠ABD


∠XYZ ≅ ∠CBD

Answers

Answer:

<XYZ = <CBD

Step-by-step explanation:

I saw there wasn't an answer so here ya go, learned the hard way...

Answer:

<XYZ = <CBD

Step-by-step explanation:

this is the right answer I can confirm

1) P n Q'
2) P' U (Q n R)​

Answers

what’s the question supposed to be. or is it even supposed to be a question

The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?

Answers

Answer:

The solution lies at approximately (4.25,6.5).

Step-by-step explanation:

The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.

Please help. I will give 16 points.

Answers

Answer:

(4, -2)

Step-by-step explanation:

if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true

-2 = -3/4(4) + 1

-2 = -3 + 1

-2 = -2  

Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)

Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)

Answers

Answer: he would save (9) hours (44) minutes on an airplane.

Step-by-step explanation: its easy just subtract 11 &2 & you'll get 9 hours but you don't do anything with the 44 & 23 all you have to do is put down 9 - hours & 44 - minutes. it's a piece of cakeplease rate me with 5 stars & thank me & hit the little crown please and thank you and if you want to be friends we can just friend me please and thank you and your welcome!!!!

(Another Easy Question) Claire has 5 markers and Bob has 3, what is the ratio of Bob’s markers to Claire’s markers? Marking Brainliest for the first correct answer!

Answers

Answer:

3:5

Step-by-step explanation:

A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.​

Answers

Answer:

The owners' cost of the candy bar is $1

Step-by-step explanation:

Assume that the owners' cost of the candy bar is 100%

The owners' cost of the candy bar is 100%

∵ The candy store uses a 50% markup on cost

∵ The selling cost = owners' cost + markup

The selling cost = 100% + 50% = 150%

∵ The candy bar sells for $1.50

→ That means 1.50 is 150% of the owners' cost

1.50 = 150% × owners' cost

→ Change 150% to decimal by divide it by 100

∵ 150% = 150 ÷ 100 = 1.50

1.50 = 1.50 × owners' cost

→ Divide both sides by 1.50

∴ 1 = owners' cost

The owners' costs = $1

The owners' cost of the candy bar is $1

Help me classify the triangles by its sides and measuring its angles :) ​

Answers

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

pls help me answering this question ​

Answers

Answer:

tell me the question.....

Angle CBE is 50 because 40+90=130 so 180-130=50
If you are wondering where I got 90 from, well angle CEB is a right angle so that’s 90.
If you are wondering where I got 180 from, well a triangle adds up to 180.

Sorry, this is all I know but I hope some of this helped, have a good day, and good luck finding out the other 2 angles.

2/3 a -1/6=1/3
Solve the equation

Answers

Step-by-step explanation:

a=3/4

Expand & simplify
(9x - y) (9x + y)​

Answers

Answer:

[tex]81x^{2}- y^{2}[/tex] this is the answer

Step-by-step explanation:

i need help, anyone ?



Answers

DF congruent to AC and EF is common side
DF Congruent
AC common side
EF common side

A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?

Answers

Answer:

Before Tax: $37.50 and $32.50

After-Tax: $40.50 and $35.10

Step-by-step explanation:

In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.

25% / 100 = 0.25

1 - 0.25 = 0.75

50.00 * 0.75 = $37.50

30% / 100 = 0.35

1 - 0.35 = 0.65

50.00 * 0.65 = $32.50

Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.

8% / 100 = 0.08

0.08 + 1 = 1.08

$37.50 * 1.08 = $40.50

$32.50 * 1.08 = $35.10

whats the solution for 9+4n -79 PLEASE ANSWER

Answers

Answer:

I think this is the correct solution

PLEASEEEEEE HELPPPPP!!

Answers

Answer:

y-b+am/m

Step-by-step explanation:

y-b=m(x-a)

y-b=MX-ma

mx=y-b+ma

x=y-b+ma/m

what is the slope between (-12, 1), (4,1)?

Answers

Answer:

[tex]m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (-12, 1)

Point (4, 1)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{1-1}{4+12}[/tex]Subtract/Add:                                          [tex]m=\frac{0}{16}[/tex]Divide:                                                      [tex]m=0[/tex]

Answer:

zero; it is a horizontal line

Step-by-step explanation:

equation of slope: [tex]\frac{y1-y2}{x1-x2}[/tex]         (-12, 1) (4, 1)

[tex]\frac{1-1}{-12-4}[/tex] = [tex]\frac{0}{-16}[/tex]

Because the numerator is zero, the slope of the line is zero. It is a horizontal line.

Aaron earns a weekly salary of $350. He earns a 7% commission on
the sales that he makes. Last week his sales totaled $3200.

Answers

Answer:

574

Step-by-step explanation:

3200/100 x 7 + 350

At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.

image
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399

Answers

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

which system of inequalities is shown in the graph​

Answers

Answer:

The system of inequalities shown in the graph is x ≤ 4 and y > 1C

Step-by-step explanation:

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the lineThe equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line

In the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas

∵ The purple line is a vertical line

∵ It is cross the x-axis at the point (4, 0)

→ By using the first rule above

∴ The equation of the purple line is x = 4

∵ The purple line is solid and the shaded area left the line

∴ The sign inequality is ≤

The inequality of the purple area is x ≤ 4

∵ The blue line is a horizontal line

∵ It is cross the y-axis at the point (0, 1)

→ By using the second rule above

∴ The equation of the blue line is y = 1

∵ The blue line is dashed and the shaded area above the line

∴ The sign inequality is >

The inequality of the blue area is y > 1

The system of inequalities shown in the graph is x ≤ 4 and y > 1

find the distance for d

Answers

Answer:

320 i think

Step-by-step explanation:

yea i think 320 to. I’m not 100% sure tho

Solve the exponential equation: 4x – 2 = 2x

Answers

Answer:

x=1

Step-by-step explanation:

The local frozen yogurt shop determines the total cost of a cup of yogurt using the formula y = 2 + 0.75x, where x represents the number of ounces. If you can spend between $2 and $5, what is the DOMAIN of this situation

Answers

Answer: 0 ≤ x ≤ 4

Step-by-step explanation:

The cost equation can be written as:

y = $2 + $0.75*x

Where x is the number of ounces that you buy.

If you can spend between $2 and $5, then we have the inequality:

$2 ≤ y ≤ $5

replacing y by the above equation:

$2 ≤  $2 + $0.75*x ≤ $5

Now let's solve this for x.

$2 - $2 ≤ ($2 + $0.75*x) - $2 ≤ $5 - $2

$0 ≤ $0.75*x ≤ $3

now we can divide bt $0.75 in the 3 sides:

$0/$0.75 ≤ ($0.75*x)/$0.75 ≤ $3/$0.75

0 ≤ x ≤ 4

Then the domain is:

D: 0 ≤ x ≤ 4

or we can also write this as:

D = x ∈ [0, 4]

What is the slope of the line passing through the point 2 comma negative 1 and the origin?

Answers

Answer:

- 1/2 or - 1.5

Step-by-step explanation:

I would suggest using a table

x       y

2      -1

0      0

from -1 to 0, you add 1

from 2 to 0, u subtract 2

so y/x

1/-2

Your slope will be -1/2 or -1.5

Hope this helped!

Answer:

-1/2

Step-by-step explanation:

Please ASAP

Jacob combined watermelon, mangos, and blueberries to make a fruit salad. The expression 16p + 24c + 32w represents the total number of fruit in the mix. Jacob wants to divide the fruit salad into equal servings, but he does not know how many. Use factoring to write expressions that will help Jacob divide the fruit salad into 4 servings or 8 servings. So, you need TWO expressions: one expression for 4 servings and one expression for 8 servings.

Answers

4 servings: 4p + 6c + 8w
8 servings: 2p+ 3c + 4w
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