In a right triangle one angle measure 28° more than the other acute angle. Use equations to solve for the measures of the two unknown angles.

Answers

Answer 1

Answer:

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

Step-by-step explanation:

In the right angled triangle one angle is always equal to 90 degrees.

Suppose <a= 90 degrees

     < b= x degrees

    < c= x+28 degrees

The sum of all the angles of the triangle are always equal to 180 degrees

therefore

<a+ <b+<c= 90 + x+ x+28 = 180

or

2x= 180- 28- 90

2x=62

x= 31 degrees

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

An acute angle is an angle which has less than 90 degrees in measurement .

Hence both angles of the right angle triangle are acute angles , 31 and 59 degrees.


Related Questions

Help on this question please I don’t understand

Answers

B is 50. All the angles of a triangle add up to 180. You just have to do 180-(97+33)

Simplify: 40 − 5 × 2 3 + (20 − 2) ÷ 9​

Answers

Answer:

-73

Step-by-step explanation:

Answer:

-73

Step-by-step explanation:

2.056 gal + 0.47 gal

Answers

Answer:

2.526 gallons is the answer. I used a calculator

Answer:

QUESTION:

2.056 gal + 0.47 gal

ANSWER:

(2.05600 US gallons) + (0.47 US gallons) =

2.52600 US gallons

Step-by-step explanation:

Hope that this helps you out! :)        

If you have any questions please put them in the comment section below this answer.        

Have a great rest of your day/night!        

Please thank me on my profile if this answer has helped you.

HELP PLS!! this is geometry and I’m not sure how to do it!! So I was wondering is someone could help me solve these!!

Answers

Answer:

I couldn't find questions.

You can follow me ask help

We cannot see the question please show

Trina has posted 6 less than 3 times as many pictures on her social media page than Ella Trina posted 96 pictures the equation below represents their relationship where e is the number of photos that Ella has posted 3e-6=96 how many photos has Ella posted
A.30
B.34
C.270
D.306

Answers

Answer:

the answer for this question is C.270

Find the slope of the line graphed.
A) -4/5 B) -5/4 C)4/5 D)5/4


HELP ASAP! ILL GIVE BRAINLIEST

Answers

Answer:

B. [tex] - \frac{5}{4} [/tex]

Step-by-step explanation:

Line is passing through the points (-4, 0) & (0, - 5)

Slope of the line

[tex] = \frac{ - 5 - 0}{0 - ( - 4)} \\ \\ = \frac{ - 5}{4} \\ \\ = - \frac{5}{4} [/tex]

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Answers

Answer:

13a) E is (a,3b)

13b) I is (4a,0)

Step-by-step explanation:

Answer:

The answers that I got from solvng it:

13a) E is (a,3b)

13b) I is (4a,0)

Sorry, if it isnt right...

Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left

Answers

The answer is 7 x 6 - 4 = 38.

Solve the expression 9 + (20 x one fourth ) − 6 ÷ 2 using PEMDAS. (4 points)

Group of answer choices

8

11

13

16

Answers

The value of the expression given in the task content upon solving the expression according to PEMDAS is; 11.

What is the value of the expression given upon evaluation by PEMDAS?

It follows from the task content that the expression given whose value is to be determined is; 9 + (20 x 1/4 ) − 6 ÷ 2.

By first solving the parentheses, we have;

9 + (5) − 6 ÷ 2

= 9 + 5 -3

= 11.

Hence, the value of the expression in discuss is; 11.

Read more on PEMDAS;

https://brainly.com/question/345677

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a³+b³ if a+b=3ab=2
please help me​

Answers

Answer:

[tex]a^3 + b^3 = -4[/tex]

Step-by-step explanation:

Given

[tex]a + b = 3ab = 2[/tex]

Required

Solve: [tex]a^3 + b^3[/tex]

Rewrite the expression as:

[tex]a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3[/tex]

Factorize

[tex]a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]

Rewrite as:

[tex]a^3 + b^3 = (a + b)(a^2 + b^2- ab)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)[/tex]

Factorize

[tex]a^3 + b^3 = (a + b)((a + b)^2 - 3ab)[/tex]

Open brackets

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

Given that:

[tex]a + b = 3ab = 2[/tex]

This means that:

[tex]a + b = 2[/tex] and [tex]3ab = 2[/tex]

So, we have:

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

[tex]a^3 + b^3 = 2^3 - 3 * 2 * 2[/tex]

[tex]a^3 + b^3 = 8 - 12[/tex]

[tex]a^3 + b^3 = -4[/tex]

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

None of the given sides or angles are congruent, so they are not congruent.

can someone please help me coz i really need this :(

i need serious answer :(​

Answers

Answer:

1. DB = 10 as diagonals of isosceles trapezoid are congruent

2. ∠DAB and ∠BCD are supplementary angles

m∠BCD = 180° - 120° = 60°

3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles

m∠BCD = m ∠ADC = 65°

4. AB = 15, DC = 25,

EB = 1/2(AB + DC) as midlineEB = 1/2(15 + 25) = 20

5. m∠ADC = 2x - 10, m∠ABC = 3x + 40

These are supplementary, find x first:

2x - 10 + 3x + 40 = 1805x + 30 = 1805x = 150x = 30m∠BCD = m∠ADC = 2*30 - 10 = 50°

help plwase due soon

Answers

he can see how much increase sales he makes with the grgaph. he can work out how many cakes he sold at that price

pleaseeeee help me, thank youu

Answers

Answer:

nose

Step-by-step explanation:

dios porque nose ayudame dios mio

ILL BRAINLIEST YOU AND GIVE U TEN EXTRA POINT IF YOU GET IT RIGHT

PLEASE HELP SOLVE THIS WITH EXPLANATION PLEASE

Answers

Answer:

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Step-by-step explanation:

Reference angle = θ

Opposite side = 16 (length of the side opposite the reference angle)

Hypotenuse = 44

Apply trigonometric function SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(\theta) = \frac{16}{44} [/tex]

[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Find the area of the sector below:


No links pls !

Answers

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2

7+6-9(-2)+(-3) simplify step by step plzzzx​

Answers

=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28

A plane flew 390 nautical miles in 45 min. Find its average speed in knots ( nautical miles per hour)

Answers

Answer:

451.87 knots.

Step-by-step explanation:

Hope this helps

The average speed of the plane is 520 Knots.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled 390 nautical miles and t is 45 mins or 0.75 hours

Thus speed of the plane is = 390/0.75

                                             = 520

Hence, The average speed of the plane is 520 Knots.

Learn more about the speed of an object here:

https://brainly.com/question/28224010

#SPJ2

200+5-4+e+9000+100-200

Answers

Answer:

9103.71828183

Step-by-step explanation:

9103.71828183=200+5-4+e+9000+100-200

Please answer my question will give brainliest

Answers

It’s 2(7+12) because it’s also equal to 38

pls help will give brainlist

Answers

Answer:

6 lb 12 oz is the answer

Step-by-step explanation:

Just did the subtraction

The polynomial V(x)=x^2+9x^2-16x-144 represents volume of a shipping crate. Explain how to find the area of the base of the crate? if the polynomial H(x)=x+4 represents the height of the crate

Answers

Answer:

x = − 9 , − 4 , 4

Step-by-step explanation:

Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length  

4  units, width  2  units, and height  3

units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.

Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This  

4  by  2  by  3  rectangular solid has  24 cubic units.

A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says  

Altogether there are  24  cubic units. Notice that  24  is the length × width × height.

The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.

The volume,  V, of any rectangular solid is the product of the length, width, and height.

V = L W H

We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base,  B, is equal to length × width. B = L ⋅ W

We can substitute  

B  for  L ⋅ W  in the volume, formula to get another form of the volume formula.

The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.

We now have another version of the volume formula for rectangular solids. Let’s see how this works with the  

4 × 2 × 3

Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.

40% of what number is 43

Answers

Answer:

107.50

Step-by-step explanation:

107.50 times 40 percent is 43

Answer: the answer is 107.5

Step-by-step explanation:

use

is/of = %/100 the / are fraction

y=x+1 and 2y=5-x find x and y​

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

substitution method:

y = x+1

2(x+1) = 5 - x

2x + 2 = 5 - x

3x = 3

x = 1

find 'y':

y = 1+1

y = 2

Find g[h(x)] and h[g(x)] of the functions g(x)=x^2-7 and h(x)=3x+2

Answers

Answer:

g(h(x)) = 9x² + 12x - 3

h(g(x)) = -3x² - 19

Step-by-step explanation:

g(h(x)) = (3x² + 2)² - 7

= 9x² + 6x + 6x + 4 - 7

= 9x² + 12x - 3

h(g(x)) = 3(x² - 7) + 2

= 3x² - 21 + 2

= 3x² - 19


Manfred botched the landing. His little propeller plane came in to land
at 100 knots - way too fast. His flight instructor shouted "Slow down!"
over and over again, but Manfred just wanted to be on the ground as
soon as possible. When he hit the runway, the landing gear nearly
snapped off, and he failed the flight exam. I'll never fly again he
decided
Which statement best describes how the conflict helps make the story
engaging?
A. Airplanes will continue to pose a great danger to Manfred, which is
suspenseful.
O B. The conflict between Manfred and his flight instructor is likely to
turn violent
C. Learning to fly is a symbol for the trials that all people must face
during adulthood
O D. Manfred stubbornly vows never to fly again, which causes tension

Answers

Answer:

A

Step-by-step explanation:

A P E X

Answer:

mamfred stubbornly vows to never fly agin

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

Answers

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

Help me out here!! Please!
my mom homeschools me and she has this thing called desmos so I'm trying to figure this out

Answers

so basically it’s 550, kinda hard to explain, but i hope it helped

Answer:

250 gallons of water are being pumped out each hour

Step-by-step explanation:

It tells us that W is the amount of water in the pool at a time. It also tells us that at the start there is 9000 gallons in the pool. We also know t is the time in hours so 1 t = 1 hour.

W=9000-250t

We can substitute in what we know

The amount of water in the pool = 9000 gallons - 250 gallons times 1 hour

so that means if one hour passes 250 gallons are removed, and if 2 pass then 500 are removed showing that for every hour the pump is on 250 gallons of water are being sucked from the pool

find the area of the trapozoid.​

Answers

Answer:40

Step-by-step explanation:To find the area of a trapzoid first add base a to base b then multiply the height then after divide the product by 2 the answer is 40 because the height for the trapzoid is 5 and for base 1 is 6 also base 2 is 10.First add 10+6=16 then muitiply 16x5=80 divide 80 with 2 will give you 40.

Please put the answer not a apps i have to download. Decide if each statement is true or false. Be prepared to explain your reasoning.
(-38.76)(-15.6) is negative
10,000−99,999<0
34-43=0
(30)(-80)−50=50−(30)(-80)

Answers

Answer:

Below

Step-by-step explanation:

False, negative times negative is always positive.

True, 10,000 is less than 99,999, so subtracting them will be negative.

False, 34 and 43 aren't equal to eachother so subtracting them can't end up to 0.

False. If you follow PEMDAS, you have to do multiplication first. In the left side, -80(30) is a negative value, while in the right, (-30)(-80) is a positive value.

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