In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

Answer 2

The measure of each acute angles are 80 degrees and 10 degrees.

The triangle is a right angle triangle. This means one of its angles is 90 degrees.

The other 2 angles sum up to 90 degrees.

An acute angle is less than 90 degrees.

The measure of one acute angle is twice the sum of the measure of the other

acute angle and 30. Therefore,

first acute angle  = x

let the other angle  = y

y = 2(x + 30)

y = 2x + 60

2x - y = -60

x + y = 90

3x = 30

x = 30 /3

x = 10 degrees

y = 90 - 10

y = 80 degrees

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Related Questions

Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1

Answers

Answer:

[tex]y = - 4x - 1[/tex]

Step-by-step explanation:

The standard equation for slope intercept form is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

plug -4 as m and -1 as the y intercept

[tex]y = - 4x - 1[/tex]

what is x? -2.5x- 2=18​

Answers

Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

Add 2 to both sides.

-2.5x = 20.

Divide both sides by -2.5.

x = -8


[tex]x + 7 < - 2[/tex]
Choose an operation to isolate the variable

Blank. Blank. on both sides
-------- --------
.add. .-7
.subtract. .-2
.multiply by. .2
.divide by. .7​

Answers

First one because when you subtract 7 u keep the var. x alone and isolate it.

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that
number.

Answers

Answer: 63

Explanation: The sum of the two percentages is 45%. Thus the sum of the 28 and 35 (63) is equal to 45% of the number.

If you needed to check your work, you could work out the number to be 140 and simply multiply by 0.45.

Edward deposited $8,500 into a savings account 5 years ago. The simple interest rate is 3%. How
much money did Edward earn in interest?

Answers

Answer:

1275

Step-by-step explanation:Step-by-step explanation:

For us to get the Simple interest, we have to use the formula:

= PRT

= Principal × Rate × Time

= $8500 × 5% × 3

= $8500 × 5/100 × 3

= $8500 × 0.05 × 3

= $1275

i need help with number 1​

Answers

Answer:

Step-by-step explanation:

Given

Points: (0,3) and (-4,-1)

Formula

x = 0 to find the y intercept

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 3

y1 = - 1

x2 = 0

x1 = - 4

m = (3 - -1)/(0 - - 4)

m = 4/4

m = 1

You have y = mx + b so m = 1

the general equation becomes y = x + b

Use point (0,-4)

y = x + b

- 4 = 0 + b

b = - 4

y = x - 4

Answer:

Step-by-step explanation:

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic
centimeters?
160 cm3
240 cm3
960 cm3
1920 cm3
PLEASE HELP ILL
GIVE BRAINLIEST

Answers

Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

Answer:

960

Step-by-step explanation:

I took the test look

Here, thankyou!!!!!!!

Answers

Answer:

Perimeter of i - 22CM

Area of i - 13CM^2

Perimeter of ii -38CM

Area of ii -66CM^2

Perimeter of iii -30CM

Area of iii- 42CM^2

Perimeter of iv - 50CM

Area of iv- 126CM^2

Step-by-step explanation:

SHAPE I:

PERIMETER = S + S + S + S + S +S

= 7 + 1 + 5 +3 +4 +2

= 22CM

AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2

Total = 8 + 5 = 13cm^2

SHAPE II:

PERIMETER = S + S + S + S + S +S

= 4 + 4 +5 + 6 + 9 + 10

= 38 CM

AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2

Total = 50+16 =66 cm^2

SHAPE III:

PERIMETER = S + S + S + S + S +S

= 9 + 2 + 3 + 4 + 6 + 6

= 30CM

AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2

Total = 36 + 6 =42 cm^2

SHAPE IV:

PERIMETER = S + S + S + S + S +S

= 9 + 10 + 4 + 6 + 6 + 15

= 50 CM

AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2

Total = 90 + 36 = 126cm^2

HOPE THIS HELPED

Bryce reads 18 pages in 1/3 of an hour. What is his rate in pages per hour?

Answers

Answer:

54 is the answer

Step-by-step explanation:

18 times 3

Answer: 54 pages per hour.

Step-by-step explanation:

If Bryce can read 18 pages in 1/3 of an hour, then we need to multiply 18 by 3 to find how many pages Bryce can read in 1 hour.

18 x 3 = 54.

In conclusion, Bryce can read 54 pages per hour.

Which of the following numbers are factors of 16 and 20?

Answers

Answer:

The set of factors of 20 is {1, 2, 4, 5, 10, 20} and the set of factors of 16 is {1, 2, 4, 8, 16}. {1, 2, 4, 5, 10, 20} ∩ {1, 2, 4, 8, 16} = {1, 2, 4} which has greatest value 4. So, GCF(20, 16) = 4.

Step-by-step explanation:

Answer:

The factors of 20 is 1, 2, 4, 5, 10, 20

The factors of 16 is 1, 2, 4, 8, 16

Step-by-step explanation:

help me please for brainlist

Answers

Answer:

b. 82m³

Step-by-step explanation:

[tex]V = \frac{1}{3}(\frac{1}{2} bh_1)h_2\\b = 8.2m\\h_1 = 4m\\h_2 = 15m\\\\V = \frac{1}{3}(\frac{1}{2}(8.2)(4))(15)\\V = 82m^{3}\\[/tex]

Answer:

B, 82 meters cubed

Step-by-step explanation:

The formula for volume of a triangular pyramid is 1/3Ah, where A = the area of the triangular base, and h = the height of the pyramid.

The area of the base here is 1/2 base x height, so:

1/2 x 8.2 x 4 = 1/2 (32.8) = 16.4 meters squared.

Plug this into the formula for the volume of the pyramid:

1/3 x 16.4 meters squares x 15 meters = 82 meters cubed

John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?

Answers

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

The ratio x:10 is equilvalent to 9:6. What is the value of x

Answers

Answer: x=20/3=6.67

Step-by-step explanation:

To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.

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

Given

x:10=9:6

Cross Multiply

9·x=6·10

9x=60

Divide 9 on both sides

9x/9=60/9

x=20/3=6.67

Hope this helps!! :)

Please let me know if you have any questions

Factor out the monomial expression
f(x)=36x^4-49x^2

Answers

Answer:

f (x) = x(2exponent) (6x+7) (6x-7

Step-by-step explanation:


Find the length of AD in the diagram shown.
A) 7
B) 7.5
C) 9
D 16.5

Answers

Answer: 16.5

Step-by-step explanation:

The correct answer is given :) , for proof please select the picture in order to understand.

what is the highest form of chinese painting? ​

Answers

I think Landscape painting

Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".

Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".

Ayana and Victor have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Ayana earns a base wage of $12 per hour, as well as $1 for every subscription that she sells. Victor gets $4 per subscription sold, in addition to a base wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? How much would each one earn?

Answers

Answer:

2

$14

Step-by-step explanation:

Let x = number of subscriptions sold

Total income of Ayana per hour = $12 + $1x

Total income of Victor per hour = $6 + $4x

To find the number of subscriptions that would equate their incomes :

$12 + $1x = $6 + $4x

Collect like terms

$12 - $6 = $4x  - $1x

$6 = $3x

Solve for x

x = $2

The subscription that would equate their income would be $2.

The income each would earn = $12 + $1(2) = $14

THIS IS FOR AN EXAM NEED HELP!!! Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary.


7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?


8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?


9. The population of a town increased from 620 to 700. What is the percent of increase?


10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?


11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?


12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?


13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?


14. Shawn earned a 5% commission on a $500 sale. How much did he earn?


15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?

Answers

1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.

Step-by-step explanation: brainliest pls ^^

(3x−1)+x2−4 when x=3

Answers

Answer:

10

Step-by-step explanation:

(3x-1)+2x-4 turns into

(3x3 -1)+2x3 -4

(9-1)+6-4

8+2

10

Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?

Answers

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Simplify the following expressions and evaluate any numerical expressions.

(−3x)2

Select one:

−9x4


−9x2


9x4


9x2

Answers

Answer:

-6x

Step-by-step explanation:

Why is it 9? Cuz its not 3(3)

HELP PLEASE IM IN A TIMED TESTTTT !!!

Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4
each and adult tickets for $9 each. Which system of equations below will determine the number of adult
tickets, a, and the number of child tickets, c, he bought?


1. a=C-9
9a + 40 =43

2. 9a +4c=43
a+c=7

3. 40 + 40 = 50
a+c=7

4. a+c= 301
a+c=7

Answers

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7)       7 people in all

price for adult = $9  (9a)   Price per child =$4 (4c)

total price =$ 43

  9a +7c = 43

(4x2 – 3x + 2) - (x - 5)(x + 5)+ 6x?

Answers

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

Solve for p
PLEASE ANSWER FAST

Answers

Answer:

p = 43

Step-by-step explanation:

p + 7 + 3p + 1 = 180

4p + 8 = 180

4p = 172

p = 43

Answer:

yo, i answered this yesterday, but the answer button wasn't available omg

p =43

Step-by-step explanation:

Which of x- values are solutions to the following inequality?​

Answers

Answer:

A and B

Step-by-step explanation:

54 , 89

{y=2x+3
y=x+3 Solve the system of equations by graphing.

Answers

To solve this, graph both lines and the ordered pair where they intersect is your answer. (0, 3)

Find 3 numbers in G.P whose sum is 28 and whose product is 512

Answers

Answer:

4, 8 and 16

Step-by-step explanation:

a/r ×a×ar =512

a^3 =512

a = cube root of 512

a=8

8/r+8+8r=28

8r^2+8=20r

8r^2-20r+8=0

8r^2-16r-4r+8=0

8r(r-2)-4(r-2)=0

(8r-4)(r-2)=0

r=2

8r=4

so r=2 or r=1/2

so of r is 2

8/2=4

and 8×2=16

9.Find the side of a cube whose surface area is 5400cmsquare.

Answers

Answer:

a=square root of a/6 = square root of 5600/6 = 30

i would like to have my brainliest naw, thx

please help me on this

Answers

Answer:

de que grado eres para ayudar

Write this is standard form and give degree

Answers

Substitute -2 for x

2(-2)^3 - 5(-2)^2 + 4(-2) - 1

-16 - 20 - 8 - 1

-45

Degree is 3 (exponent of leading coefficient)
And cannot write in standard form
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