One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10

Answers

Answer 1

Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

Explanation:-

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of s of a =180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

One Angle Of The Following Triangle Measures 2x. How Many Degrees Does That Angle2xX+152x+10

Related Questions

plz help very easy i pormise

Answers

Answer:

8/90

Step-by-step explanation:

hope this helps

Answer:

It's 38/45

Step-by-step explanation:

I don't really have a step-by-step explanation. I just looked it up! ;) good luck

PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?

a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?

Answers

Answer:4 dimes = 40 cents

1 nickel 3 pennies =8 cents

5 quarters and 1 dime = $1 and 35 cents

step explanation:

In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?

Answers

Answer:Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.

Step-by-step explanation:

3 and 1/13 in simplest form.

Answers

Answer:

3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).

Have an awesome day! :D

amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put them in a tasty sequence. How many unique ways are there to arrange 4 of the 7 dishes?

Answers

By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this particular case, we have:

N = number of available dishes = 7K = number that we need to select = 4

Then the number of different combinations is given by:

[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

Now we have 4 dishes selected, but we also need to order them.

For the first dish, there are 4 options.For the second, there are 3 options (as one was already selected).For the third, there are 2 options.For the last one there is only one option.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

If you want to learn more, you can read:

https://brainly.com/question/9976085

what is the slope of the line?

Answers

The slope is 8/5 or 1.6

A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.

Answers

Answer:

New price = $48

Step-by-step explanation:

New price = Original price - (original price × 20%)

New price = $60 - ($60 × .20)

New price = $60 - $12

New price = $48

Or If the jacket is 20%, you will pay 80% of the cost.

So Original price × the percentage that you paid = New price

                     $60 × 80% = New price

                      $60 × .80 =  $48

Round to the nearest the sum of 39 and 125​

Answers

Answer:

160

Step-by-step explanation:

39 + 125 = 164

164 rounds to 160

Answer:

160

Step-by-step explanation:

39+125​=164

164 rounded=160

Hope this helps :)

At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?

Answers

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

In a bag of 50 marbles, 15 marbles are green or red.

What percentage of marbles are green or red?

Enter the missing values in the boxes to complete the ratio table.
Part____ Whole 50

Part____ Whole 100

Answers

Answer:

28% are green or red

Step-by-step explanation:

a dance club had 3 times as many members as an art club. The art club has 3598 fewer members than the dance club. How many members did the art club have? show bar graph

Answers

Answer:

1799 members in the art club i think but i don't have a bar graph

Step-by-step explanation:

^^

Solve 2x-1/4 + x/3 = 2

Answers

Step-by-step explanation:

=> 2x-1/4 + x/3 = 2

=> 3(2x-1) +4x / 12 = 2

=> 6x -3 + 4x = 24

=> 10x = 27

=> x = 2.7

Answer:

x = 27/28

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

2x - 1/4 + x/3 = 2

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

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

7/3x + (-1/4) = 2

7/3x = 9/4

3/7 * 7/3x = 3/4 * 9/4

x = 27/28

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

check

2 * 27/28 - 1/4 + 27/28 *1/3 = 2

2 = 2

the answer is good

Given that 27^1/3= 9^14 + 3^x+1
find the exact value of x

Answers

If the given equation is

[tex]27^{\frac13} = 9^{14} + 3^{x + 1}[/tex]

first simplify the left side using the fact that 27 = 3³:

[tex]27^{\frac13} = (3^3)^{\frac13} = 3^{\frac33} = 3^1 = 3[/tex]

and on the right side, 9 = 3²:

[tex]9^{14} = (3^2)^{14} = 3^{2\times14} = 3^{28}[/tex]

So we have

[tex]3 = 3^{28} + 3^{x + 1}[/tex]

Next,

[tex]3^{x+1} = 3^x \times 3^1 = 3 \times 3^x[/tex]

so that

[tex]3 = 3^{28} + 3 \cdot 3^x[/tex]

and dividing both side by 3 gives

[tex]1 = 3^{27} + 3^x[/tex]

Isolate 3ˣ :

[tex]3^x = 1 - 3^{27}[/tex]

Solve for x by taking the base-3 logarithm of both sides:

[tex]\log_3(3^x) = \log_3(1-3^{27})[/tex]

[tex]x \log_3(3) = \log_3(1-3^{27})[/tex]

[tex]\boxed{x = \log_3(1-3^{27})}[/tex]

Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.

Answers

9514 1404 393

Answer:

  8,500 units

Step-by-step explanation:

The contribution margin from each unit is ...

  $185 -121 = $64

To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...

  ($416,000 +128,000)/($64/unit) = 8,500 units

Find the distance between the points P(4,6) and Q(8,9) to the nearest tenth.
Answers:
A. 25
B. 5
C. 7
D. 19.2

Answers

Answer:

B

d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5

1,200×30%×25%×3% lempiras

Answers

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7


How much would $100 invested at 6% interest compounded monthly be
worth after 20 years? Round your answer to the nearest cent.

Answers

Answer:

331.02

Step-by-step explanation:

The product of .010 and .001 is

Answers

Answer:

its 0.00001

I hope this helps

a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days

Answers

Answer:

9 mm

Step-by-step explanation:

90*0.1=9

pretty sure it’s .9 mm

1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)​

Answers

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

What is 2* 5 equal to?

Answers

Answer:

32

.......................................

54,392 rounded to the hundreds place

Answers

Answer:

54,400

Step-by-step explanation:

Chris drives to a nearby city that is 30 miles away. The average miles per gallon for his car is 20. Gas prices are currently $3.49 per gallon. How much will he spend on gas to drive to the city

Answers

Answer:

5.235 (Simplifies as $5.24)

Step-by-step explanation:

1 gal = 20 miles

1.5 gal = 30 miles

1 gal = $3.49

1.5 gal = $5.235

Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need

Answers

Answer:

2 more cans

Step-by-step explanation:

2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)

3 x 3 = 9

the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days

9 - 7 = 2

What is two divided by one thousand two hundred and twenty eight

Answers

Answer 1/614

Step-by-step explanation:

A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years​

Answers

Answer: $420

To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.

Can somebody plz report and ban CARDAA13 and CARIZASHINE

Answers

Answer:

what did they do?

Step-by-step explanation:

Please take a look at the picture

Answers

Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

Find ML of the trapezoid

Answers

Answer:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:

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