can a triangle have an exterior angle that is obtuse at two vertices? Explain

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.


Related Questions

need some help with this question.​

Answers

Answer:

Second from top

  f(x) = 25(5)ˣ

Step-by-step explanation:

Spot check:

x = 2, f(x) = 625

 f(x) = 25(5)ˣ

 f(x) = 25(5)² = 25(25) = 625

x = -1, f(x) = 5

 f(x) = 25(5)ˣ

 f(x) = 25(5)⁻¹ = 25(0.2) = 5

On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)

Answers

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

A store sells 6 cans of soup for $2.40. How much would it cost to buy 13 cans of soup?

Answers

13 cans of soup cost $5.20


2.40•2 is 4.80
And then to find the price of one can u divide 2.40 by 6 and get 0.40
Add 4.80 and 0.40 together and u get 5.20

Evaluate 8 - m/n + p² when m = 8, n = 2, p = 7.

Correct answer will be marked brainliest!!

Answers

Answer:

53

Step-by-step explanation:

so first of all we would have to plug in what were given and simplify:

[tex]8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53[/tex]

What is the solution for -x+10<4??

Answers

Answer:

x=6

Step-by-step explanation:

subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

Answer is 6..is correct

Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain

Answers

Did it come with a pic

PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss

Answers

(C) Infinitely many solutions

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa

Answers

Answer:

this isn't a social studies stream

ask the question again but in a social studies thingy

what is the area of a semicircle with a diameter of 12.5 ft

Answers

radius = 12.5/2 = 6.25 feet

area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet

If f(a) = 3a? – a, then what is the value of f(-2) ?

Answers

Answer:

Step-by-step explanation:

-7

Which ordered pair gives the coordinates of a point that lies on the line shown in the graph?

The range of the x axis is minus five to five by increment of one. On the x axis minus four, minus two, two, and four are labeled. The range of the y axis is minus three to minus seven by increment of one. On the y axis minus two, two, four, and six are labeled. In the line graph, the x intercept of the line is (-2, 0) and y intercept of the line is (0, 4).

Answers

Answer:

(0,2)

Step-by-step explanation:

To know get the answer, you would start at the orgin of the paper (0) and up two. Therefore your answer is (0,2).

Answer: (0,-2)

Step-by-step explanation: Wouldnt it be that since its on the negaive side

Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)

Answers

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

what a number named as a googolplexian might be ?

Answers

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

What is homework plus midnight?

Answers

Answer:

the story of my life

Step-by-step explanation:

good luck <3

What is one punch mans real name?
A. Mogi Hata
B. Saitama
C. One punch man
D. Jerihalomni

Answers

Answer:

It's saitama, I love one punch man so much lol

nicki minaj duh who wouldn't know that

solve the inequality -4x + 5 > 21​

Answers

Answer:

x < -4

Step-by-step explanation:

Step 1: Write inequality

-4x + 5 > 21

Step 2: Solve for x

Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4

Answer:

x < -4

Step-by-step explanation:

[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]

Hope this helps.

The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:

Answers

The equation of the line is y=1x-2. I hope this helps and if you need a more in depth explanation, I can write the work I did to solve it.

The difference between four times a number and six is -46

Answers

Answer: 4x-6=-46

4x-6=-46

Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket

Answers

Answer: adult = $11

Child = $8.5

Step-by-step explanation:

Let the cost of an adult ticket be a

Let the cost of child ticket be c.

From the question,

3a + 4c = $67 ....... i

5a + 6c = $106 ...... ii

Multiply equation I by 5

Multiply equation ii by 3

15a + 20c = $335

- 15a + 18c = $318

2c = $17

C = $17/2 = $8.5

Put the value of c into

3a + 4c = $67

3a + 4($8.5) = $67

3a + $34 = $67

3a = $67 - $34

3a = $33

a = $11

Cost of adult ticket = $11

cost of child ticket = $8.5

Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.

Answers

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

Find the slope of the line through each pair of points. (9.-14). (8-8)​

Answers

Answer:

-6

Step-by-step explanation:

We can use the slope formula

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

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

parallel to y = 1/2x+3 and through the point (4,5)

Answers

Y-y1 = slope (x-x1)
Y-5=1/2(x-4)
Y-5= 1/2x-2

Final answer
Y=1/2x + 3

Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

98*68-67+87
this is for my lady

Answers

Answer:

6684

Step-by-step explanation:

Answer:

6684

Step-by-step explanation:

(98)(68)-67+87

PEMDAS

will give brainliest !!

Answers

Answer:

$672

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

I think hope this helps

What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5

Answers

Answer:

The slope of the graph is 5 / 2

To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]

Given the following equation:

[tex]5x-2y=20[/tex]

To determine the slope of the graph:

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]    ....equation 1.

Where:

x and y are the points.m is the slope.b is the intercept.

[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex]   ....equation 2

Comparing eqn. 1 and eqn. 2, w have:

Slope, m = [tex]\frac{5}{2}[/tex]

Read more: https://brainly.com/question/18123312

Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

Which design would give Shanika what she wants?

A. a circular piece of cloth with radius of 90 cm

B. a circular piece of cloth with radius of 110 cm

C. a circular piece of cloth with radius of 100 cm

D. a circular piece of cloth with radius of 130 cm

Answers

The answer is definatly NOT D. I think that the answer is A.

The design that should  give Shanika what she wants is the radius of 90 cm.

Calculation of the design:

Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

So, the radius is

= 40 + 60 - 10

= 90 cm

Learn more about radius here: https://brainly.com/question/3708862

find the solutions of 4s²-12s = -9 by factoring​

Answers

Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

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