Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?

She is correct. A triangle having at least one acute angle is an acute triangle.
She is correct. The remaining angle of the triangle measures less than 90 degrees.
She is incorrect. The angles measure greater than 90 degrees so the triangle is obtuse.
She is incorrect. The third angle in a triangle with two congruent acute angles is a right angle.

Answers

Answer 1

Answer:

She is correct. The remaining angle of the triangle measures less than 90 degrees

Step-by-step explanation:

Edgunity

Answer 2

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

What are acute angles?

Acute angles are angles that measures less than 90 degrees.  

Triangle DEF contains 2 congruent  acute angles. This means each of those 2 acute angles in the triangle are less than 90 degrees.

The sum of the measure of the two congruent acute angles is greater than 90 degrees.

Therefore,

let

∠D and ∠E be the acute angles.

∠D + ∠E > 90°

An acute triangle:

An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

The sum of angles of a triangle is 180 degrees.

Since ∠D + ∠E > 90°, then ∠F must be less than 90 degrees.

This simply means the triangle is an acute-angled triangle. Therefore,

Anna is correct.

learn more on acute angles here: https://brainly.com/question/1634742?referrer=searchResults


Related Questions

Negative ten is no less than two times a number plus fourteen.

Answers

-10-2•14a it should be something like this

Answer:

-10 ≥ 2x + 14

Step-by-step explanation:

-10 ( negative ten )

≥ ( symbol for no less )

2x ( two times a number)

14 ( plus fourteen )

The table (below) shows the amount of fuel left in your RV while driving. What type of function can you use to model the data? Estimate the amount of fuel left in your tank after driving for 90 minutes.

Im a lil confused someone help explain the problem please :)

Answers

Answer:

the answer is 4

Step-by-step explanation:

hope this helps

rolex worked 40 hours last week. he had $74 deducted from his earnings for taxes. if he had $286 left after deduction, how much does rolex earn per hour?

Answers

He earned $9 per hour

How do you know the square root of 17 exponent 2 is equal to 17

Answers

Answer:

√17 = q × q = q2

Step-by-step

The square root of 17 in mathematical form is written with the radical sign like this √17. We call this the square root of 17 in radical form. The square root of 17 is a quantity (q) that when multiplied by itself will equal 17.

?
Janice decides to buy a WinOne and a Playball ticket every
day for the next 400 days. Theoretically, which lottery can
she expect to win more often, and how many times would she
win on average?
Winone, three times
PlayBall, two times
PlayBall, five times
Winone, four times

Answers

Answer:

It’s not c on Plato

Step-by-step explanation:

Convert 132 pounds to kilograms. Use 1 kg = 2.2 lb.

Answers

1kg = 2.2lb

1lb = 0.454kg

132lb = 0.454*132

132lb = approx 60kg

4.
Convert the following times into decimal time on the 24 hour clock:
1:30 PM=
09:12 AM=
11:54 PM=
4:15 PM=

Answers

Answer:

1:30pm = 13:30pm

09:12am = 09:12am

11:45 pm = 23:54pm

4:15pm = 16:15pm

Step-by-step explanation:

I'm in military school :)

What type(s) of symmetry does the figure have?

Answers

Answer:

both points and rotational only

Answer:

I would say point and rotational symmetry SUPER MEGA sorry if im wrong

9g + 14g + 4 = –19
plz help

Answers

Answer:

g=-1

Step-by-step explanation

Answer:

g=-1

HAVE A nice day

C 0
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store
contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the
variables is a discrete quantitative variable?
O brand
O type
power settings
O color

Answers

Answer:

Power settings.

Step-by-step explanation:

In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.

Basically, random variables are classified into two (2) main categories and these are; continuous and discrete random variable.

A discrete random variable is a data set in which the number of possible values are either finite or countable. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

In this scenario, an appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color.

Hence, the variable which is a discrete quantitative variable is the number of power settings because its values are countable or finite, usually it ranges from 100 to 800.

what is the solution of the inequality 4+5x<-19

Answers

Answer: x>−3

Step-by-step explanation:

Pull out like factors :

  -15 - 5x  =   -5 • (x + 3)

Divide both sides by  -5  

Remember to flip the inequality sign

Subtract  3  from both sides

           x > -3

Inequality plot for

        -5.000 X  - 15.000  >  0

Answer:

9

Step-by-step explanation:

If -11 + N = -11, then N is the

Answers

Answer:

additive identity

Step-by-step explanation:

-11+N=-11     N=0

ADD 11 TO BOTH SIDES

-11+N+11   =-11 +11

(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE

N=0

*Additive Identity Property states The sum of any number and 0 is that number.  

A music sharing service has an initial fee of $25 and a monthly fee of $6. When a person joins the service, it costs the company $70 to create the new account. Which inequality can be used to determine how many months, m, it would take for the company to stop losing money on a new customer?

Answers

Answer: [tex]25+6m > 70[/tex]

Step-by-step explanation:

Let m = Number of months

Combined charges for music sharing service = 25+6m

Cost of joining to company = $70

According to the question,

Combined charges > Cost of joining to company  (To find number of months it would take for this)

[tex]25+6m > 70[/tex] (required inequality)

how many feet should be cut off to make a plank 5 7/8 feet long

Answers

Answer:

2 5/8

Step-by-step explanation:

5 7/8 + 2 5/8= 8 1/2

Answer:

3 4/8 or 3 1/2

Step-by-step explanation:

Any help with this plz!!! <33

Answers

Answer:

A = 37°B = 63°C = 16°

Step-by-step explanation:

The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.

  Tan = Opposite/Adjacent

   angle = arctan(opposite/adjacent)

A = arctan(3/4) ≈ 37°

B = arctan(2/1) ≈ 63°

C = arctan(2/7) ≈ 16°

Please help
Which row of the table reveals the y-intercept of function f?

Answers

Answer:

second row x=0 f(x)=2

Step-by-step explanation:

when x= 0 the f(x) = y-intercept

Second row of the table reveals the y-intercept of function f.

What are intercepts?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

According to the question

Y intercept of the function f :

y-intercept is the point where a line crosses the y-axis.

i.e x = 0

Only Second row satisfy this condition .

Hence, Second row of the table reveals the y-intercept of function f.

To know more about intercept here:

https://brainly.com/question/3334417

#SPJ2

Please help with 47-50

Answers

47.) 0,-2
48.) 0,-5
49.) -5,-8.5
50.) 3, 0.75
51.) 0, -3
52.) 0,-2.5
The axis of symmetry is the top or bottom of the “U” shaped graph and I always put the equations into Desmos

7x-130=110+9x. show with steps

Answers

Answer:

x=-120

Step-by-step explanation:

7x-130=110+9x

add 130 to both sides of the equation

7x-130+130=110+9x+130

Simplify

7x=9x+240

Subtract 9x from both sides

7x-9x=9x+240-9x

Simplify

-2x=240

divide both sides by -2

-2/-2=240/-2

simplify

x=-120

7x-130=110+9x
-7x -7x
-130=110+2x
-110 -110
-240=2x
2 2
-120=X

The length of cell A is 8x10 to the power of negavtive 6 m. The length of cell B is0.0000004 m. What is the ratio of cell​ A's length to cell​ B's length? Use pencil and paper. Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard​ form? Explain your reasoning.

Answers

Answer:

Ratio of length of cell A to cell B is 20 : 1

Step-by-step explanation:

Length of cell A = [tex]8\times 10^{-6}[/tex] m

Length of cell B = 0.0000004 m

Convert the length of cell B into scientific notation.

Length of cell B = [tex]4.0\times 10^{-7}[/tex]

Now the ratio of the lengths of cell A and cell B = [tex]\frac{8.0\times 10^{-6}}{4.0\times 10^{-7}}[/tex]

                                                                                = [tex]2\times 10^{7-6}[/tex]

                                                                                = 20

Therefore, ratio of length of cell A to cell B is 20 : 1

If Ryan gives 4/9 of his 36 cards to Josiah, how many cards does he give Josiah?

Answers

Answer:

16 cards

Step-by-step explanation:

Answer:

Ryan gave 16 cards to Josiah.

Step-by-step explanation:

First we will divide 36 by 9.

36/9 = 4

We know that 1/9 of 36 is 4.

1/9 + 1/9 + 1/9 + 1/9 = ?

4 + 4 + 4+ 4 = ?

4 * 4 = 16

4/9= 16

Ryan gave 16 cards to Josiah.

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2 ​

Answers

Answer:

I think it's b I don't know for sure though

Step-by-step explanation:

I don't know for sure tho

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

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

The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

A similar problem is given at https://brainly.com/question/24603090



Determine the domain and range of the given function.
The domain is
The range is

Answers

What is the function?
domain: all values that go into a function
range: difference between the lowest and highest values

​​ALGUIEN POR FAVOR AYUDEME A RESOLVER ESTOS 3 PROBLEMAS

Answers

Answer:

a. x^2 - 1

b. x^2 - 6x + 9

c. [tex]\dfrac{3x + 1}{x^2 + x}[/tex]

Step-by-step explanation:

a.

(x + 1)(x - 1) =

= x^2 - x + x - 1

= x^2 - 1

b.

(x - 3)^2 =

= (x - 3)(x - 3)

= x^2 - 3x - 3x + 9

= x^2 - 6x + 9

c.

[tex] \dfrac{3 + \frac{1}{x}}{1 + x} = [/tex]

[tex] = \dfrac{x(3 + \frac{1}{x})}{x(1 + x)} [/tex]

[tex] = \dfrac{3x + 1}{x + x^2} [/tex]

[tex] = \dfrac{3x + 1}{x^2 + x} [/tex]

saras bike weighs 2.03 kilograms . If 1 kilogram is 2.2 pounds, how much many pounds is saras bike

Answers

Answer:

4.5 pounds

Step-by-step explanation:

2.2X2.03=4.466(I rounded to the nearest tenth if that helps)

Which of the following criteria always proves triangles
congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry

Answers

Answer:

The correct options are;

3 Congruent sides

Corresponding congruent Angle-Side-Angle

Corresponding congruent Side-Angle-Side

Corresponding congruent Side-Side-Angle

Step-by-step explanation:

The conditions for congruency are;

Two triangles are congruent when

AAS which is the acronym for corresponding Angle-Angle-Side are congruent

SAS  which is the acronym for corresponding Side-Angle-Side are congruent

SSS which is the acronym for corresponding Side-Side-Side are congruent

ASA which is the acronym for corresponding Angle-Side-Angle are congruent.

The criteria that always proves triangles

are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides

There are some congruence theorems that prove that two triangles are congruent and they are;

1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.

2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.

3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.

4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.

In conclusion, from the options, options A, B & D.

Read more at; https://brainly.com/question/10533727

Help me brush pls I am totally dunk at mat

Answers

Answer:

Proportional

Step-by-step explanation:

A proportional graph is a straight line that passes through the origin.

A non-proportional graph can be a straight line, but it does NOT pass through the origin.

Therefore, this is a proportional graph.

Hope this helps :)

Please someone helpppp!!!

Answers

Answer:

i think it is false, true, false

Step-by-step explanation:

I think it’s true, false true

Is the relation a function?

O Yes
O No
O Cannot be determined

Answers

Answer:

is the relation a function

No

Find the sum of (-12) + 10.

Answers

Answer:

-2

Step-by-step explanation:

(-12)+10=-2

I NEED HELP ON THIS PLEASE!!

Below are the test scores for Ms. Brown's 1st and 2nd period math classes. Analyze the data and choose EACH correct statement:

1st period (Class A): 10, 15, 20, 25, 30, 35, 40

2nd period (Class B): 7, 12, 17, 25, 33, 38, 43

The standard deviation for Class A is 10

The standard deviation for Class B is 12.615

These are the options:

- The mean (average) score for each class is the SAME.

-The mean (average) score for each class is DIFFERENT.

- The variance for Class A is 125.

- The variance for Class B is 159.14.

- Class A has a greater spread.

- Class B has a greater spread.

- Based on the data, a score of 8 is more likely in Class B than Class A.

- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.

Answers

Answer:

hope that helps

Step-by-step explanation:

- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.

- Based on the data, a score of 8 is more likely in Class B than Class A.

- Class A has a greater spread.

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