In the diagram below, we have ST parallel to QR. angle P= 40 degrees, and angle Q= 35 degrees. Find the measure of angles STR in degrees.

In The Diagram Below, We Have ST Parallel To QR. Angle P= 40 Degrees, And Angle Q= 35 Degrees. Find The

Answers

Answer 1

Answer:

[tex]m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ[/tex]

Step-by-step explanation:

Similar Triangles

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

[tex]m\angle P + m\angle Q + m\angle R = 180^\circ[/tex]

Substituting the known values:

[tex]40^\circ + 35^\circ + m\angle R = 180^\circ[/tex]

Solving for R:

[tex]m\angle R = 180^\circ - 40^\circ - 35^\circ[/tex]

[tex]m\angle R = 105^\circ[/tex]

Angles S and Q are congruent, thus

[tex]m\angle S = 35^\circ[/tex]

Angles T and R are congruent, thus

[tex]m\angle T = 105^\circ[/tex]

Summarizing:

[tex]\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}[/tex]

Answer 2

Answer:

100

Step-by-step explanation:


Related Questions


8x - 5y = -6
6x + 2y = -16

Answers

Answer:

both x and y are -2 in this case

37. The volume of a box is 1344 cubie mches or in
a. How many cubic inches are in one cubic foot? Justify your answer
b. What is the volume of the box in cubic feet" Justify your answer

Answers

Answer:

Step-by-step explanation:

there are 1728 cubic inches in one cubic foot.

A cubic foot is 12"

12* 12" * 12" = 1728 cu/inches

therefore

1344/1728 =. 78 cu ft

Evaluate: 476.8 - 54.32 + 16.54 - (-12.23)

A) 559.89

B) 410.25

C) 426.79

D) 451.25
NEED HELP ASAP

Answers

The answer is D I’m almost 100% sure

Joyce paid $70 for an item at the store that was 70% off the original price. What was the original price?

Answers

Answer:119

Step-by-step explanation:

Also I’m not really sure how to find the value of x for this any help would be lovely

Answers

Answer:

x = 25

Step-by-step explanation:

The other angle in the triangle would equal 130 because the sum of angles in a triangle add up to 180.

2x + 130 = 180 because it is a linear pair

2x = 50

x = 25

Answer:

x = 25

Step-by-step explanation:

Which expressions can be simplified as StartFraction 625 Over n Superscript 12 Baseline EndFraction? Check all that apply.

Answers

Answer:

A and E

Step-by-step explanation:

(5n^-3)^4= A    (25n^-6)^2=E

Answer:

A and E  ФωФ

Step-by-step explanation:

solve as multi step eqaution 42 = 3(2y - 4)

Answers

It is 9 bro mental math

HELP PLEASE!!!!

WILL MARK BRAINLIST IF YOU HAVE AN EXPLANATION!!

Answers

Answer:

Options B and D

Step-by-step explanation:

B.

[tex]. \\ \angle \: 1 \cong \angle 5 \\ (exterior \: alternate \: \angle s) \\ [/tex]

D.

[tex]\angle \: 1 \cong \angle 7 \\ (vertical \: \angle s) \\ [/tex]

Which of the following list Is in order from smallest to largest? 1/2 7/11 5/7 2/3
1/2 2/3 5/8 7/11
1/2 5/8 7/11 2/3
7/11 1/2 5/8 2/3

Answers

Answer:

Step-by-step explanation:

im so sorry i dont no this answer

Jesus is the son, the spirit, and the Living of God! ...

Answers

Answer:

Yessir he's coming soon

Step-by-step explanation:

I need help on a math assignment.

Answers

Answer:

(18 , - 10)

Step-by-step explanation:

5x + 4y = 50 .... (1)

x + 2y = - 2 ... (2)

Solve (2) for "x"

x = - 2y - 2 .... (3)

(3) ----> (1)

5(- 2y - 2) + 4y = 50 ⇔ - 6y - 10 = 50 ⇒ y = - 10 .... (4)

(4) ----> (2)

x + 2(- 10) = - 2 ⇒ x = 18

(18, - 10)

the answer is (18, -7). Hope this helps :)

There’s a [Picture] can you guys help me!!?

Answers

Answer:

x<32 (i thik is what you want)

Step-by-step explanation:

if x/8+1<3

x has to be less the 4*8, which is 32.

so x<32

A soccer coach filled a water cooler with 34.07 liters of water before a game. The players drank 29.6 liters during their game. How many liters of water were left in the cooler?

Answers

Answer:

4.47 liters

Step-by-step explanation:

To find how many liters were left, subtract the amount they drank from the original amount:

34.07 - 29.6

= 4.47

So, there were 4.47 liters of water left in the cooler.

After players drank 29.6 liters of water from 34.07 liters there is 4.47 liters of water left in the cooler.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A soccer coach filled a water cooler with 34.07 liters of water before a game.

The players drank 29.6 liters during their game.

∴ Liters of water that is left in the cooler is the difference between water-filled before the game to the water drank by players during their game which is,

= (34.07 - 29.6).

= 4.47 liters are left in the cooler.

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Question 4
Mr Tilman took a taxi to Center City The taxi driver charged a S4 Initial fee and $2 for every mile. The final cost of the taxi ride was $28 Which equation models this situation and is solved correctly to determine
the number of miles x, the taxi traveled?
А 4 + 2x = 28; = 12
В
С
2 + 4.x = 28; x = 6.5
4 + 2x = 28; = 16
2 + 4.c = 28; 2 = 7.5
D

Answers

Answer:

4 + 2x = 28; = 12

Step-by-step explanation:

Start with the initial fee which is $4. Then times 2 with your miles for an example: (money with miles)2 x 6(miles) and you should have $12 dollars in total  2 x 4 which equal $8 and 2x2 which equal 4...

2 x 6 = 12

2 x 4 = 8

2 x 2= 4

add all those up and you should get 28..

To check your work do

4 + 2(12) = 28

4 + 24 + 28

Your Welcome!

Need help ASAP Select all numbers that are irrational

Answers

Answer:

The 3rd and 4th ones :))

The only irrational number there is π.

15 points and brainliest for the answer


the triangles below are similar

which statement about the triangles is true?
F. the corresponding angles are congruent, and the corresponding sides are proportional
G. the corresponding angles are congruent, and the corresponding sides are congruent
H. the corresponding angles are proportional, and the corresponding sides are proportional
J. the corresponding angles are proportional, and the corresponding sides are congruent

Answers

Answer:

I believe the answer is J. the corresponding angles are proportional, and the corresponding sides are congruent

Step-by-step explanation:

hope this helps :)

If the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct,

What is the similarity law for triangles?

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Thus, if the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct.

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Which decimal is less than 0.8 and greater than 0.02?
 A. 0.81
 B. 0.46
 C. 0.86
 D. 0.006

Answers

Answer:

the answer would be d

which is 0.006

The anderson family has many pets.They have 5 dogs,3 cats, and 2 rabbits.The ratio compare the number of rabbits to the number of dogs is _____ to _____

Answers

Answer: 2:5

Step-by-step explanation: There are 2 rabbits and 5 dogs.

Del has 12 less than 3 times the number of comic books as Patrick. Del has at most 57 comic books. What solution represents the number of comic books, b, Patrick can have?

Answers

Answer:

Del has 19 comic book

Step-by-step explanation:

to figure this out we need to take 57 and divide by the 3 given.

57 ÷ 3 = 19

so because we divided 57 by 3 we know the answer is 19

Del has 19 comic books

Identifying values in the domain, probs really easy for you!

Answers

Answer:

Not

Not

In domain

Step-by-step explanation:

u cannot square root a negative number as you'll get a complex number, making h(x) undefined

Kelsey has a new baby brother! He weighs 8 lbs 3 oz. The doctor said the baby should gain about 5 ounces per week. At that rate, how much should the baby weigh-in 3 months (12 weeks)?

Answers

Equation: 0.5x + 8.3
Plug in 12 for x and solve

Find the volume of a cone with the radius of 6 height of 8 and length of 10

Answers

The volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

To find the volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cone, and h is the height of the cone.

In this case, the radius is given as 6 units, and the height is given as 8 units.

To calculate the volume, substitute these values into the formula:

Volume = (1/3) * 3.14159 * (6 units)^2 * 8 units

Volume = (1/3) * 3.14159 * 36 square units * 8 units

Volume ≈ 301.5928 cubic units

Therefore, the volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

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Are the ratios 18:9 and 7:6 the same?

Answers

Answer:

No there not the same

Step-by-step explanation:

There are not equivalents to each other the answer would be 2:1

Complete the like terms to create an equvalent expression:
-4r - 2r + 5

Answers

-6r+5
the two like terms are the ones with R. combine -4r and -2r to get -6r

Write as a sentence as a proportion. Then solve the proportions 5 is to 12 as is to 48

Answers

5:12

x:48

the answer is 20

Today Yumaira sold twice as many bags of popcorn at the ball game as she sold last Saturday. In the 2 days she sold a total of 96 bags. Find The number of bags of popcorn sold today and how many popcorn bags were sold on Saturday.

Answers

Answer:

32 bags we sold last Saturday, and 64 today.

Step-by-step explanation:

So first, we make a ratio. 2:1, as she sold twice as much. yo could also write it in an equation; 2x+x=96. in both, we see that 3x is equal to 96, and so, x would be equal to 32. to find how many she sold today, multiply that number by 2, to get 64. Hope this helped :)

An animal shelter currently has 40 cats in it. Next month they expect the number of cats to increase by 15% over the number this month. Which of the following is the number of cats they expect next month

Answers

Answer:

46

Step-by-step explanation:

15% of 40 is 6 so you add 6 to 40

Answer:46

Step-by-step explanation:

15% of 40=?

multiply 15 by 40 and divide by 100

15 * 40 / 100 = 6

add 6 to 40

40+6=46

Therefore, the number of cats that they expect is 46.

-19.86 as A Fraction: How did you do it?
Need Help Please!!

Answers

Answer: -993/50 or -19 43/50

Step-by-step explanation:

-19.86 = -19 86/100

-19 86/100 = -19 43/50

or -993/50

Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive? Question 1 options:

Answers

Answer:

5.5%

Step-by-step explanation:

The formula for Simple Interest = PRT

Where

Simple Interest = $115.50

P = Principal = $700

R = Interest rate = ??

T = Time in years = 3 years

$115.50 = $700 × R × 3

R = $115.50/$700 × 3

R = $115.50/$2100

R = 0.055

R = Interest rate = 0.055

We Multiply by 100

= 0.055 × 100

= 5.5%

You select a card at random. The cards are labeled with the word "Probability" as seen below. Without replacing each card, you choose a second card. P(consonant then vowel) =

Answers

Answer:

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

Step-by-step explanation:

Given

Word: PROBABILITY

[tex]n(Word) = 11[/tex]

Required

Determine P(Consonant then Vowel)

Frist we need to list out the consonants;

Consonants = PRBBLTY

[tex]n(Consonants) = 7[/tex]

Then Vowels

Vowels = OAII

[tex]n(Vowels) = 4[/tex]

[tex]P(Consonant\ then\ Vowel) = P(Consonants)\ and\ P(Vowels)[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{n(Consonants)}{n(Words)} \ and\ \frac{n(Vowels)}{n(Words) - 1}[/tex]

We used n(words) - 1 for the vowels because it's probability without replacement. So, when the consonant is picked, the length of letters reduced by 1

So, we have:

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ and\ \frac{4}{11 - 1}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{4}{10}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{2}{5}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

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