The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the measure of the other acute angle? A: Let x be the measure of the unknown acute angle. Write an equation relating this measure to the known quantities. Do not include units in your equation.

Answers

Answer 1

Answer:

An equation is [tex]x+52\°+90\°=180\°[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the measure of the unknown acute angle.

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

One of the acute angles of a right triangle is equal to 52°.

Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.

[tex]x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°[/tex]

So, an equation is [tex]x+52\°+90\°=180\°[/tex]


Related Questions

Select the three choices below that are equal to 4 x 5​

Answers

Answer:

10+10

10x2

40/2

Step-by-step explanation:

What are the coordinates of the x-intercept of the line 2x-5y=10 ?

Answers

Answer:

(5, 0) is the x intercept.

Step-by-step explanation:

Given equation of the line is 2x - 5y = 10

For y-intercept of the line we find the value of y by substituting x = 0 in the given equation.

Similarly, for x-intercept we will substitute the value y = 0 and find the value of x.

2x - 5(0) = 10

2x = 10

x = 5

Therefore, y-intercept of the given line is (5, 0).

I NEED THIS ASAP I HAVE A TEST DUE 5 MIN AGO AND IF ITS ANY LATER THEN 15 MIN THEN I FAIL 15 POINTS FOR WHOEVER CAN GET ME THE RIGHT ANSWER!!!!!!!!!!!!

Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

Group of answer choices

(−$15) ÷ 12

(−$15) + 12

(−$15) − 12

(−$15) ⋅ 12

Answers

Answer:

(-15$) • 12

Step-by-step explanation:

Because your taking away 15$ from each month, and there's 12 month each year.

I explained each answer choice in the comments bellow.

Answer:

The Naswer is the Last one, D

Step-by-step explanation:

If the growth rate is 75%, which of the
following is the correct growth factor

a. 1.75

b. 75

C. 1.075

d. 1.0075

Answers

Answer:

A) 1.75

Step-by-step explanation:

75% = .75

Growth Factor = 1 + Growth Rate (decimal)

Growth Factor = 1 + .75

Growth Factor = 1.75

I hope this helps!

-TheBusinessMan

Mitchell currently sells stoves for company A at a salary of $12,000 plus a $150 commission for each stove he sells. Company B offers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?

Answers

I know the answer do u still need it

a ship is mapping a trip and wants to know the distance the ship will travel over certain time interals

Answers

The ship is traveling 25 miles per hour.

PLEASEE HELP ME
Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?

Answers

Rolands boat can travel 8 and 1/3 miles per 1/3 of an hour.

We can set this problem up as a ratio (or as a proportional type of problem).

When somebody is traveling 25 miles per hour, for every hour passed they have rode (or driven) 25 miles. This ratio can be set up as 25:1. We want to get it to where the 1 in the ratio is 1/3 because we want it to be 1/3 of an hour.

When dealing with ratios, you always want to do one thing on both sides of it is ever changed. In this case we want to get 1 to 1/3. To get 1 to 1/3 we need to DIVIDE by 3 because 3 will be under 1, therefore 1/3.

The ratio will look like 25:1/3 WHEN IT IS INCOMPLETE. We then need to remember we need to do everything on one side to the other, therefore we need to divide 25 by 3 which will give us 8.333333 or 8 and 1/3 (8 1/3)

Fran is making pancakes. The recipe for the pancakes calls for 1/8 teaspoon of salt for every 3/4 cup of flour. Fran makes an amount of pancakes that needs 18 cups of flour. How much salt, in teaspoons, does Fran need to use for the pancakes?

Answers

Answer:

3 teaspoon

Step-by-step explanation:

If for every 3/4 cup of flour we will need 1/8 teaspoon of salt, then:

1/8 teaspoon = 3/4 cup of flour

To get the amount of teaspoon needed for 18cups we will say:

x teaspoon = 18 cups

Solving both equalities for x:

1/8 teaspoon = 3/4 cup of flour

x teaspoon = 18 cups

Cross multiply

3/4 * x = 18 * 1/8

3x/4 = 18/8

cross multiply again

3x*8 = 4*18

24x = 72

x = 72/24

x = 3

Hence Fran needs 3 teaspoon of salt fir 18cups of flour

can you answer these examples?

Answers

Answer:

1.The coefficient is 6.3 and the terms are 5 and 6.3s

2.The coefficient is (0.87)^t and the terms are 35,000 and (0.87)^t

Step-by-step explanation:

A  coefficient is a number pared with a variable and the terms are all of the numbers that make up the expression

Simplify:

|-46.09 + 51.64| + |18.08 – 21.52|
A. 2.11
B. 3.44
C. 5.55
D. 8.99

Answers

Answer:

D. 8.99

Step-by-step explanation:

You're welcome :)

2 ÷ 2/9 idk i need help.​

Answers

Answer: 9

Step-by-step explanation:

I calculated it

One package of blackberries costs $3. How many packages of blackberries can you buy for $15?

Answers

Answer:

5 packages

Step-by-step explanation:

One package of blackberries cost $3

Let x represent the number of packages that will cost $15

1 = $3

x= $15

3x= 15

Divide both sides by the coefficient of x which is 3

3x= 15/3

x= 5

Hence 5 packages of blackberries will cost $15

7th grade math help me plzzz

Answers

Answer:

a. -14

b. -150

c. -51

d. -2

e. 3

f. 5

How many pounds are in 80 kilograms?

Answers

Answer:

176.37 pounds are in 80 kilograms

Step-by-step explanation:

The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3000, how much will be invested in each type of investment?

Answers

Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000  Eq. 1

b = c + 3000  Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

3s (s - 2) =12s, please help me this. Thank you!

Answers

Answer: s = 0, or s = 6

Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl

COLLE
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A boat capsized and sank in a lake Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 60 assengers (s the load lin was 7,860 lb).
After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 173 lb Complete parts a and below.
a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mea of 176 1 lb end a standard
deviation of 40.2 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 131 ||
The probability is
(Round to four decimal places as needed)
b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,941 lb. Find the probability t at the boat is erloaded bause the
mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 29 1 lb)
The probability is
(Round to four decimal places as needed)
Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below.
sees o
ents
see sc
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past do
O A. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appes to be safe
OB. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with passengers
OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passe ers:
Click to select your answer(s)
past due

Answers

B bebdbegsvsghshssbsh

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the

population data set

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

The range is 13.

(Simplify your answer.)

The population mean is 8.3.

(Simplify your answer. Round to the nearest tenth as needed.)

The population variance is

(Simplify your answer. Round to the nearest hundredth as needed.)

Answers

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

I needs help how do i shave my ba. lls​

Answers

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

Suppose that a rectangular picture is surrounded by a frame of uniform width of x
inches as depicted below. The dimensions of the picture are 8 inches (width) by
10 inches (length). Find a simplified expression that represents the area of the
picture and frame.
Type your simplified answer for the area of the picture and frame along with your
work in the box below. To receive any partial credit, you must include all your work.

Answers

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

What is 4.035 written in expanded form

Answers

Answer:  One of these should help

Step-by-step explanation:

Expanded Notation Form:

 4  

+   0.0

+   0.03

+   0.005

Expanded Factors Form:

 4 × 1  

+ 0 ×   0.1

+ 3 ×   0.01

+ 5 ×   0.001

Expanded Exponential Form:

4 × 100

+ 0 × 10-1

+ 3 × 10-2

+ 5 × 10-3

Answer:

4+0.03+0.005

Step-by-step explanation:

Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?
3 x + 5 x = 4
3 x + 4 = 5 x
3 x = 4 + 5 x
3 x minus 4 = 5 x

Answers

Answer:

3 x + 4 = 5 x

Step-by-step explanation:

just read it the words slowly and write it down as you hear it

Suppose that E and F are points on the number line. If EF=5 and F lies at -3, where could E be located?

Answers

Answer:

There are two possible locations. E could be located in either -8 or 2.

Step-by-step explanation:

The number line is a one-dimensional graphing model for real numbers, in which each element is represented by points. Under this system, there are two directions:

[tex]-x[/tex] - Left semiaxis that corresponds to negative real numbers.

[tex]+x[/tex] - Right semiaxis that corresponds to positive real numbers.

Both semiaxis are divided by origin, which represents the real number zero.

Let E and F points on the number. If we know that [tex]F = -3[/tex] and [tex]EF = 5[/tex], there are two choices for the location of E. That is:

[tex]E_{1} = F+EF[/tex]

[tex]E_{1} = -3+5[/tex]

[tex]E_{1} = 2[/tex]

[tex]E_{2} = F-EF[/tex]

[tex]E_{2} = -3 -5[/tex]

[tex]E_{2} = -8[/tex]

There are two possible locations. E could be located in either -8 or 2.

Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.

Answers

14/3 the answer is 4.67

0 = 2x2 – 8x + 11
Solve the equation using quadratic formula.

Answers

Answer:

There are two solutions

1.x =(8-√152)/4=2-1/2√ 38 = -1.082

2.x =(8+√152)/4=2+1/2√ 38 = 5.082

Step-by-step explanation:

The product of which expression contains four decimal places?

Answers

Answer:

D.) 14.2*0.784

Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.

How many milliliters are in 3 gallons? Explain.

Answers

there are 11356.2 milliliters in 3 us gallons

11,355 millilitres as 3785 X3

An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express sponsored survey that found 355 of 546 business travelers use a laptop computer on overnight business trips

Answers

Answer:

a

  The null hypothesis is  [tex]H_o : p = 0.67[/tex]

   The alternative hypothesis is  [tex]H_a : p \ne 0.67[/tex]

b

 The sample proportion is [tex]\^ p = 0.65[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  546  

      The number of people that use a laptop overnight is  [tex]k = 355[/tex]

    The population proportion is  [tex]p = \frac{2}{3} = 0.67[/tex]

   Generally

  The null hypothesis is  [tex]H_o : p = 0.67[/tex]

   The alternative hypothesis is  [tex]H_a : p \ne 0.67[/tex]

Gnerally the sample proportion is mathematically represented as

        [tex]\^ p = \frac{ k}{n}[/tex]

=>     [tex]\^ p = \frac{ 355}{546}[/tex]

=>     [tex]\^ p = 0.65[/tex]

If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book

Answers

25×1/23=1.08695652174.

25+1.08695652174=26.08695652174

What is the equation of the line through (2,3) and (-1,-12)

Answers

Answer:

slope intercept: y=5x-7

Step-by-step explanation:

first you need slope: y2-y1/x2-x1

-12-3/-1-2=

-15/-3=

5

then plug into this formula: y-y1=m(x-x1)

y-3=5(x-2)

y-3=5x-10

y=5x-7

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