The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle. Find the measures of all three angles.

Answers

Answer 1

Answer:

Step-by-step explanation:

A ≤ B ≤ C

C = 90°

B = A+42°

A+B = 90°

A+(A+42) = 90°

A = 24°

B = A+42° = 66°

Answer 2

24, 66, 90 are the measure of all three angles of the right angle triangle

What is right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.

Let "x" be the smallest angle in a right angle triangle.

So, biggest angle in the triangle will be x +42

Since, sum of the all the angles in a triangle = 180

x + x+ 42 +90 = 180

2x + 42 = 90

2x = 48

x = 24

Measure of the smallest triangle =x = 24

Measure of the biggest angle = 24 + 42

Measure of the biggest angle = 66

therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.

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Related Questions

The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?

Answers

Answer:

4.242;

$500.276 ; $46.724

Step-by-step explanation:

Given the regression equation :

value = -123.298 + 4.242 revenue

y = - 123.298 + 4.242x

y = team value ; x = Revenue

(a) What is the slope of this line?

From ;

y = mx + c

Where ; m = slope

Comparing the equation with, the model equation ;

mx = 4.242x ; Hence, slope, m = 4.242

(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.

Predicted value of hornets based on their revenue :

Revenue = $147,000,000

y = - 123.298 + 4.242(147)

y = - 123.298 + 623.574

y = 500.276

Predicted value is about $500.276 million.

What is the error in this prediction?:

Error = Actual - predicted value

Error = 547 - 500.276 = $46.724 million

What is the volume of the cube below?
A. 16x^2
B. 4x^2
C. 4x
D. 16

Answers

Answer:

B. 4x^2

Step-by-step explanation:

Volume of the cube

[tex] = 4 \times x \times x \\ \\ = 4 {x}^{2} [/tex]

Answer:

4x^2

Step-by-step explanation:

Given the data below, what is the median?
2, 4, 7, 4, 3, 1, 6, 8, 10, 15, 12, 22, 12, 15, 11

Answers

Answer:

8

Step-by-step explanation:

The numbers in order

1, 2, 3,4,4,6,7,[8,]10,11,12,12,15,15,22

8 is the median, hopes this helps

Ten full crates of walnuts weigh 370 pounds, whereas an empty crate weighs 10 pounds. How much do the walnuts alone weigh?

Answers

Answer:

so

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The weight of the walnuts alone is 360 pounds

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 3 = 4 is an equation.

We have,

Number of craters of walnuts = 10

Weight of 10 craters of walnuts = 370 pounds

Weight of empty crate = 10 pounds

Weight of the 10 walnuts = M

Weight of the 10 walnuts + weight of the crater = 370 pounds

This can be written as an equation:

M + 10 = 370

Subtract 10 on both sides.

M = 370 - 10

M = 360 pounds

Thus,

The weight of the walnuts alone is 360 pounds

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Find the value of. X in the proportion 5/9=x/36

Answers

Answer:

x=20 hope this helps :)

The value of X is 20.

To find this answer, you must first find the least common denominator of both fractions. In this case, the LCD is 36.

Next, you multiply the left side by 4/4. The fraction 4/4 is simply found by dividing the right side denominator (36) by the left side denominator (9). 9 goes into 36 4 times.

5/9 * 4/4 = 20/36.

Thus meaning X = 20. I hope this helps!

1
2
(x − 106) = 12 + 7x

Answers

Answer:

X=−10

Step-by-step explanation:

i hope this helps you ^_^

have a nice day/night

Equation/Question:

1/2(x-106)=12+7x

Answer/Steps to answer: (x= -10)

1. Simplify  1/2(x-106) to x-106/2.

x-106/2=12 + 7x

2. Multiply both sides by 2.

x−106=24+14x

3. Subtract x from both sides.

−106=24+14x−x

4. Simplify  24+14x-x to  24+13x.

-106=24+13x

5. Subtract 24 from both sides.

-106-24=13x

6. Simplify  -106-24 to −130.

-130=13x

7. Divide both sides by 13.

130/13=x

8. Simplify  130/13 to  1010.

-10=x

9. Switch sides.

x=-10

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

Checking:

1/2(x−106)=12+7x

1. Let x=-10x=−10.1

1/2​(−10−106)=12+7×−10

2. Simplify -10-106 to −116.

1/2​×−116=12+7×−10

3. Move the negative sign to the left.

-116/2=12+7×−10

4. Simplify 116/2 to 58

−58=12+7×−10

5. Simplify 7×−10  to −70.

−58=12−70

6. Simplify  12-70 to −58.

−58=−58

Done by NeighborhoodDealer


Please help ASAP....

Answers

Answer:

Step-by-step explanation:

a) Volume of small cube box = 8 in³

      side³ = 8 = 2³

Side of small box = 2 in

b)  Side of larger box = 2 + 6 = 8 in

Volume of larger box = 8*8*8 = 512 in³

c) Number of balls to be shipped in the larger box = Volume of larger box ÷ Volume of smaller box

= 512 ÷ 8

= 64 golf balls

       

Direction: Solve the given problems.
6. Two numbers are in the ratio of 2:3 If the bigger number is 6. what is the smallest one
_7. What number compared with 6 is the same as 36 compared to 6?
8. There are 24 red roses for every 6 roses. How many red roses are there if there
are 8 roses?
9.There are 7 children for every 2 adults in a plaza. How many adults are there,
if there are 21 children?
10.1f 12 pencils are bought for P60, how much will you pay for 25 pencils​

Answers

○=> Solution (6) :

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

[tex] =\tt 2 : 3 \: = \: x : 6[/tex]

[tex] = \tt \frac{2}{3} = \frac{x}{6} [/tex]

[tex] =\tt 2 \times 6 = 3 \times x[/tex]

[tex] =\tt 12 = 3x[/tex]

[tex] =\tt x = \frac{12}{3} [/tex]

[tex]\hookrightarrow\color{plum}\tt \: x = 4[/tex]

▪︎Therefore, the smaller number = 4

○=> Solution (7) :

36 compared to 6 = [tex] \tt \frac{36}{6} [/tex]

Let the number be x.

Which means :

[tex] = \tt \frac{36}{6} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]

▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].

○=> Solution (8) :

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

[tex] =\tt \frac{24}{6} = \frac{x}{8} [/tex]

[tex] =\tt 24 \times 8 = 6 \times x[/tex]

[tex] =\tt 192 = 6x[/tex]

[tex] =\tt x = \frac{192}{6} [/tex]

[tex]\hookrightarrow \color{plum}\tt x = 32[/tex]

▪︎Therefore, 32 red roses are there if there are 8 roses.

○=> Solution (9) :

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

[tex] = \tt \frac{7}{2} = \frac{21}{x} [/tex]

[tex] =\tt7 \times x = 2 \times 21 [/tex]

[tex] =\tt 7x = 42[/tex]

[tex] =\tt x = \frac{42}{7} [/tex]

[tex] \hookrightarrow \color{plum}\tt \: x = 6[/tex]

▪︎Therefore, 6 adults were there in the plaza.

○=> Solution (10) :

Cost of 12 pencils = P60

Cost of 1 pencil :

[tex] = \tt \frac{60}{12} [/tex]

[tex] =\tt P5[/tex]

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

[tex] =\tt 5 \times 25[/tex]

[tex] \color{plum}=\tt \: P \: 125[/tex]

▪︎Therefore, the cost of 25 pencils = P125

Help quick!! Plsss:))

Answers

Answer:

4= 20

Step-by-step explanation:

hope this helps.

1. Find the slope of the line using the points (10, 4) and (20, 0).

Answers

Answer:

10/-4 or 5/-2

Step-by-step explanation:

use y2-y1/x2-x1 equation.

50 POINTS FIRST GOOD ANSWER GETS BRAINLIEST
Express f(x)=3+|2x-5| as a piecewise function WITHOUT using absolute value
Please give a detailed response not just answer to help me understand

Answers

Answer:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=3+|2x-5|[/tex]

Remember that by the definition of absolute value:

[tex]\displaystyle |x|= \left\{ \begin{array}{ll} x & \quad x \geq 0 \\ - x & \quad x < 0 \end{array} \right.[/tex]

Our absolute value is:

[tex]|2x-5|[/tex]

First, we will find when it becomes 0. Set the equation equal to 0:

[tex]2x-5=0[/tex]

Solve for x:

[tex]x=5/2[/tex]

So, we can see that for all values greater than x = 5/2, 2x - 5 is positive.

For all values less than x = 5/2, 2x - 5 is negative.

Therefore (the positive case go above, and the negative case go below):

[tex]|2x-5|= \left\{ \begin{array}{ll} 2x-5 & \quad x \geq 5/2 \\ -(2x-5) & \quad x < 5/2 \end{array} \right.[/tex]

Finally, we can add a three:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 3+(2x-5) & \quad x \geq 5/2 \\ 3+(-(2x-5)) & \quad x < 5/2 \end{array} \right.[/tex]

Simplify if desired:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.[/tex]

The highlighted option is wrong, Please help me with this one ill give brainiest

Answers

Answer:

Dont care about your life

Step-by-step explanation:

Someone have sox with me yuum I love licking plussy

A player hits the ball 30% of the time. If he gets 450 chances what is the total number of times he will hit the ball

Answers

Answer:

135

Step-by-step explanation:

100% = 450

1% = 4.5

30% = 4.5 x 30 = 135

The diameter of a quarter is 23.9 mm. Find the circumference.

Answers

i think the circumference is 75.04, because:

the formula for radius when you only have the diameter is d / 2, so:

23.9 / 2
= 11.95

now that we have our radius, the formula for circumference is:

2 x r x π
so,

2 x 11.95 x 3.14 = 75.04

...at least that’s what i got.

SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP

Answers

Answer:

The answer is 8

Step-by-step explanation:

If this answer helped you then please consider marking this as brainliest and like this respone :)

The formula to convert degrees Fahrenheit degrees Celsius is C = (F - 32) Which formula can be used to convert degrees Celsius to degrees Fahrenheit?

Answers

Answer:

(°C×9/5)+32= 32°F is the answer

I WILL GIVE BRAINLIEST PLS PLS PLS HELP ITS DUE TOMORROW PLS DO ALL FOR BRAINLIEST

Answers

Answer: Sorry but I don't know which one to do and can you move it too the left a little bit so I may see the whole sentence?

Step-by-step explanation:

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?

Answers

Answer:

5555555

Step-by-step explanation:

I really dont know

Help ASAPP LIKE PLSSS SO FAST PLS

Answers

Answer:

0.44 and 44/100

Step-by-step explanation:

find the product. write the product in simplest form 2/3 x 6

Answers

Answer:

4

Step-by-step explanation:

2/3 x 6 = (2)(6)/3 = 4

Answer:

2/3*6

2*2

4

Step-by-step explanation:

i have done directly

divide 6/3 ans will come 2

and multiply both 2

ans will come 4

Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?

A.)p is reflected over the y-axis and then tranlated 6 units right and 4 units up.

B.)p is reflected over the x-axis and then translated 6 units left and 4 units up

C.)p is reflected over the y-axis and then translated 6 units left and 4 units down.

D.)p is reflected over the x-axis and then translated 6 units right and 4 units down.

Answers

Answer:

A

Step-by-step explanation:

(X) =x3 to the function q(x-6)3-4

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20

Answers

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

Please help I WILL GIVE BRAINLIEST !!! I need the answers right away!

Answers

Answer:

Step-by-step explanation:

How would this triangle be classified?

Answers

Answer:

Isosceles acute

Step-by-step explanation:

2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.

What graph shows the solution to this system
y >= 3x + 2
-4x + 3y > 12




(Less than or equal to: >=

Answers

Answer:

C

Step-by-step explanation:

first

let 3x-y= -2

here after rearranging fin the different values of x and y w. r. t the equation then shade the upper region of the line

similarly do with the second one equation and then mark the line as dotted and shade the below part of the equation of the line and then find the common shaded area

Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.

Answers

16 yah lol i know this

URGENT!!!!!! PLEASE ANSWER !!!!!!
7) Grace earns $18 per hour working as a math tutor. Write and solve an
inequality that can be used to find how many hours she must work in a week to
earn at least $378.
_6)

Answers

Answer:

The equation is 18h=378

h=21

Step-by-step explanation:

So first you have to set up the equation

so if she makes 18 dollars an hour the first part of the equation would be 18h

She made 378 dollars in one week so now the equation is 18h=378

The answer is h=21 because 378/18 is 21

A. 90.4 ft2

B. 234 ft2

C. 180.8 ft2

D. 117 ft2

Answers

It’s definitely B i can guarantee that rn

Score: 0 of 1 pt
11 of 13 (10 complete)
HW Score: 50%, 6.5 of 13 pts
9.4.45
Question Help
A car rental company charges a daily rate of $25 plus $0.30 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $145. How
many miles did you drive?
miles
p
til
fi
t
-
vo
va
(1,1)
More
Enter your answer in the answer box and then click Check Answer
?

Answers

Answer:

3335552255442882283222333

400miles
145-25=120
120/0.30=400

Blake is going to invest in an account paying an interest rate of 3% compounded annually. How much would Blake need to invest, to the nearest ten dollars, for the value of the account to reach $83,000 in 16 years?

Answers

Answer:

51720

Step-by-step explanation:

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