The measures of the angles of triangle RST are in the ratio 2:4:9. What are the measures of the angles ?

Answer:

1

Step-by-step explanation:

Simplifying

3x + 2(4x + -4) = 3

Reorder the terms:

3x + 2(-4 + 4x) = 3

3x + (-4 * 2 + 4x * 2) = 3

3x + (-8 + 8x) = 3

Reorder the terms:

-8 + 3x + 8x = 3

Combine like terms: 3x + 8x = 11x

-8 + 11x = 3

Solving

-8 + 11x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 11x = 3 + 8

Combine like terms: -8 + 8 = 0

0 + 11x = 3 + 8

11x = 3 + 8

Combine like terms: 3 + 8 = 11

11x = 11

Divide each side by '11'.

x = 1

Simplifying

x = 1

Step-by-step explanation:

By angle bisector property:

[tex] \frac{w}{30} = \frac{15}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{6 \times 5} \\ \\ \therefore \: w = 3 \times 5\\ \\ \huge \orange{ \boxed{ \therefore \: w = 15}}[/tex]

He will need to cut altogether 12 inches to fit on the top if h buys 2 to adjust on the double desk.

Step-by-step explanation:

Answer:

Therefore she used (142-54)=88 pounds of type B coffee.

Step-by-step explanation:

Given, Leila's coffee shop makes a blend that is a mixture of two types of coffee.Type A coffee $4.85 per pound and type B coffee cost $5.90 per pound. She made 142 pounds of the blend for the total cost of $781.10.

The cost price of the blend per pound is = $(781.10÷142)

                                                                   =$5.5

Let , the amount type A in the blend be x

Then the amount of type B in the blend is (142-x)

The cost price of x pound of type A coffee is = $(4.85×x)  =$4.85x

The cost price of(142- x) pound of type B coffee is =$(142-x)×5.90

According to the problem,

4.85x+(142-x)×5.90 = 781.10

⇔4.85x +837.8-5.90x=781.10

⇔1.05x=56.7

⇔x=(56.7÷1.05)

⇔x=54

Therefore she used (142-54)=88 pounds of type B coffee.

Answer:

1. False

2. True

3. True

Step-by-step explanation:

1. ∠AHB and ∠AHG are vertical angle       False

2.∠EHF and ∠DHE are adjacent angle      True

3. The measure of ∠FHG is equal to the measure ∠DHF  True

Adam earned a total of £265.10 last week.

Step-by-step explanation:

Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold  and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.

Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,

Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,

Money earned for selling 42 magazines = 42 × £0.80 = £33.60,

Money earned for selling 14 books = 14 × £2.25 = £31.50,

Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 =  £65.10.

Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.

Last week's salary =  £200 +  £65.10 = £265.10.

Answer: £265.10

Step-by-step explanation:

Adam gets £200 each week.

10% of 42 magazines

Magazines opcost £8

10% × £8 = 0.10 × £8 = £0.80

42 × £0.80 = £33.60

15% of 14 books

Each book cost £15

15% × £15 = 0.15 × £15 = £2.25,

14 × £2.25 = £31.50

Last Week's Salary:

£31.50 + £33.60 = £65.10

£200 +  £65.10 = £265.10 (last weeks salary)

Answer:

si amuigos  hasta luego to es bien cien nueve

Step-by-step explanation:

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

The simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is 64 - 6√ * b - 283√ * c - 127√.

To simplify the expression 4147−−−√ a - 37√ . b - 283√ . c - 127√, we can first try to identify any common factors among the terms.

However, since each term involves a different square root, it's not possible to simplify the expression further using common factors.

To proceed, we can try to simplify each term individually. For instance, we can simplify 4147−−−√ by identifying that 4147 is a perfect square. Since 4147 = 64 * 64, we can rewrite the expression as:

4147−−−√ = √(64 * 64) = 64

Similarly, we can simplify 37√ . b by identifying that 37 is a perfect square. Since 37 = 6 * 6, we can rewrite the expression as:

37√ . b = √(6 * 6) * b = 6√ * b

Applying the same logic to the remaining terms, we get the simplified expression:

64 - 6√ * b - 283√ * c - 127√

Therefore, the simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is:

64 - 6√ * b - 283√ * c - 127√

Answer:

D. Make triangles with the same angle measures and different side length.

Step-by-step explanation:

Since the values of the angles of the triangle are constant, varying the length of the sides would give series of triangles. Note that the length of the three sides must not be equal at any stage of the varying process.

Answer:

8xy

Step-by-step explanation:

(2x)(4y)

By expansion we have

2x x 4y

8xy

Answer:

3/4w

Step-by-step explanation:

3/4 ÷w = 3/4 × 1/w = 3/4w

Answer:

what is your problem in the figure

Answer:

Here are a couple questions I came up with myself! Feel free to use one!

Step-by-step explanation:

This chart is asking “ Well, we have data and we want you to make a question out of it”

So,

“How much was the population in Suwanee?”

“How much more is the population in Cartersville than Lilburn?”

“If you add the population of Cartersville, Suwanee, Lilburn, and Norcross, how much would the population be then?”

Hope this helped! ~Oreo

I'm gonna assume you want us to simplify it.

v-14≤-18. Add 14 to both sides:

v ≤ -4

Answer:

v ≤ -4

Step-by-step explanation:

v - 14 ≤ -18

v -14 + 14 ≤ -18 + 14

v ≤ -4

Answer:

  9375 : 5625

Step-by-step explanation:

The total of the ratio units is 5+3=8, so each ratio unit stands for ...

  15000/8 = 1875

Multiply each number of ratio units by this value to get your division:

  5(1875) : 3(1875) = 9375 : 5625

{(-2, 6), (-5, -1), (3, 7), (-5, 0)}

Domain: The domain is all the x-values (-2, -5, 3, -5)

Range: The range is all the y-values (6, -1, 7, 0)

Function: It's not a function because of the x-value -5 is repeating.

Answer:

Step-by-step explanation:

domain (ur x values) = [ -5,-2,3 ]...only write repeating values once

range (ur y values) = [ -1,0,6,7]

a function will not have any repeating x values....it can have repeating y values, just not the x ones...all x's have to be different

therefore, this is not a function because u have repeating x values of -5

Answer:

0.5

Step-by-step explanation:

Answer:12 baskets - 19pts

2×7= 14pts

1×5= 5pts

Therefore: (7+5) baskets= (14+5)pts

> 12 baskets = 19pts

Step-by-step explanation:

For a 2-point shots to make 14pts, there will be 7 baskets/throws.

A free throw shot is 1pts, so there has to be about five (5) free throws which will make 5pts.

Therefore, there will be (7+5 baskets) 12 shots in total.

2-point shots = 7

1-free throws = 5

3m=s

Where m= math homework and s= science homework.

nannie

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A.

12x – 3 – 6x = 6x – 3

12x - 3 = 12x -3

-3 = -3     infinite solution

B.

3 + 16x = 3 + 24x – 8x

3 + 16x = 3 + 16x

3 = 3     infinite solution

C.

2 + 12x - 4x = 2 + 8x

2 + 8x = 2 + 8x

2 = 2     infinite solution

D.

12x – (6x + 8) = 6x + 4

6x - 8 = 6x + 4

-8 = 4     no solution

Answer:

Explanation:

The figure attached shows the three squares that you have to fill to complete the table to summarize the different theorems to prove triangles are congruent.

1. SAS

SAS stands for Side Angle Side. That means that whenever two sides and the included angle on one triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent.

Thick marks are used to mark the corrsponding parts, sides or angles that are congruent. That is why the two triangles to the first triangles on the image (on the upper square to the right) are marked:

In that way, the figures show two triangles, with two congruent sides and the included angle congruent, to prove that the two triangles are congruent by the SAS theorem.

2. ASA

ASA stands for Angle Side Angle.

The ASA congruency theorem states that if two angles of a triangle and the included side are congruent, then the two triangles are congruent.

Thus you have to add the legend "Two congruent angles with and included side", which means that if the two angles and the included side on one triangle are congruent to two angles and the included side of other triangles, then both triangles are congruent.

The rule to mark the sides and angles that are congruent is with the use of thick marks. This is how it was done in the drawing of the two triangles in the lower right square:

Answer:

Exact Form:  X = 44/15

Decimal Form:  X = 2.93¯

Mixed Number Form:  X = 2 14/15

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/2 = 21

42/3 = 14

Answer:

54 is what I thought of.

Answer:

A

Step-by-step explanation:

The first cylinder is larger by 6607.9 cm³.

Step-by-step explanation:

⇒ V(1) = 3.14 × 10.16² × 21.59 = 6997.9 cm³

V(2) = 390 cm³

⇒ Difference = 6997.9 - 390 = 6607.9 cm³

Answer:

37.04

Step-by-step explanation:

Hence, After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse. Hence, At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.

Answer:

the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.

Step-by-step explanation:

Answer:

1064.8 in^2

Step-by-step explanation:

12.1 x 17. 6 / 2 to find one half of a triangle will equal 106.48

there are 10 triangle therefore 106.48 x 10 = 1064.8

Answer:

532.4 in²

Step-by-step explanation:

The area (A) of the regular pentagon is calculated as

A = 0.5 × perimeter × apothem

Perimeter = 5 × 17.6 = 88 in

The apothem is the segment from the centre to the midpoint of one of the sides.

Here the apothem = 12.1 in, thus

A = 0.5 × 88 × 12.1 = 44 × 12.1 = 532.4 in²

Answer:

Step-by-step explanation:

The imaginary number has form:

a + bi

a - real part

bi - imaginary part

i - imaginary unit (i = √-1)

We have the number 9.

9 is a real part

An imaginary part is equal 0.

Therefore the imaginary part of number 9 is 0i.