Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer 1

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer 2

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false


Related Questions

Please help explanation if possible

Answers

Answer:

y = + 1/2x -3

Step-by-step explanation:

x - 2y = 6

slope intercept form: y = mx + b

In order to put the given equation in slope intercept form we will need to isolate ( we can do this by solving algebraically ) y as seen in the equation shown above.

x - 2y = 6

Solve for y

Subtract x from both sides

x - x - 2y = 6 - x

-2y = 6 - x

Divide both sides by -2

-2y/-2 = (6 - x)/-2

y = -3 + 1/2x

* Swap -3 and 1/2x *

The equation in slope intercept form would be y = 1/2x - 3

Answer:

y = + x/2 +( - 3)

Step-by-step explanation:

make y the subject of the formula by placing x on the opposite side of y, which is right in this case, then divide every by negative two, then you'll get the answer that I've written.

[ INDICES]- Simplify :
1. [tex] \large{ \tt{\frac{ {13}^{ \: 2x + 1} - 5 \times {169}^{x} }{9 \times {169}^{x} } }}[/tex] [ Ans : 2 ]

2. [tex] \large{ \tt{ \frac{ {9}^{ \: n + 2} + 10 \times {9}^{n} }{ {9}^{n + 1} \times 11 - 8 \times {9}^{n} }}}[/tex] [ Ans : 1 ]

- Please show your workings! :)

Answers

Step-by-step explanation:

Hey there!

Please see attached picture for your answer!

Hope it helps!

Answer is in the attachment.

note:

make a slight change in question 1;

Solve using the Pythagorean identity

Answers

[tex]\bold{Sin\theta_{1}=-\frac{4}{5}}[/tex]

Answer:

Solution given

Cos[tex]\displaystyle \theta_{1}=\frac{3}{5}[/tex]

consider Pythagorean theorem

[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]

Subtracting [tex]Cos²\theta[/tex]both side

[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]

doing square root on both side we get

[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]

Similarly

[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]

Substituting value of [tex]Cos\theta_{1}[/tex]

we get

[tex]Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}[/tex]

Solving numerical

[tex]Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}[/tex]

[tex]Sin\theta_{1}=\sqrt{\frac{16}{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}[/tex]

[tex]Sin\theta_{1}=\frac{4}{5}[/tex]

Since

In IVquadrant sin angle is negative

[tex]\bold{Sin\theta_{1}=-\frac{4}{5}}[/tex]

Answer:

[tex]\sin(\theta_1)=-\frac{4}{5}[/tex]

Step-by-step explanation:

We'll use the Pythagorean Identity [tex]\cos^2(\theta)+\sin^2(\theta)=1[/tex] to solve this problem.

Subtract [tex]\cos^2(\theta)[/tex] from both sides to isolate [tex]\sin^2(\theta)[/tex]:

[tex]\sin^2(\theta)=1-\cos^2(\theta)[/tex]

Substitute [tex]\cos(\theta)=\frac{3}{5}[/tex] as given in the problem:

[tex]\sin^2(\theta_1)=1-(\frac{3}{5}^2)[/tex]

Simplify:

[tex]\sin^2\theta_1=1-\frac{9}{25}[/tex]

Combine like terms:

[tex]\sin^2\theta_1=\frac{16}{25}[/tex]

For [tex]a^2=b[/tex], we have two solutions [tex]a=\pm \sqrt{b}[/tex]:

[tex]\sin\theta_1=\pm \sqrt{\frac{16}{25}},\\\begin{cases}\sin \theta_1=\frac{4}{5},\\\sin \theta_1=\boxed{-\frac{4}{5}}\end{cases}[/tex]

Since the sine of all angles in quadrant four return a negative output, [tex]\frac{4}{5}[/tex] is extraneous and our answer is [tex]\boxed{\sin(\theta_1)=-\frac{4}{5}}[/tex]

The ordered pair (2, −4) is a solution of which system?

Answers

Answer:

option 1

Step-by-step explanation:

y ≤ x - 2

-4 ≤ 2-0

-4 ≤ 2  Satisfies the inequality

y ≥ - x - 4

-4 ≥ - 2- 4

-4 ≥ - 6  (2 , -4) satisfies the inequality

what’s the answer to this problem ? 3+i/2-i * 4+i/2+i

Answers

Answer:

= -2i + 3

Step-by-step explanation:

3+i/2-i * 4+i/2+i

Group like terms

= i/2 + i/2 - 4i + i + 3

Combine the fractions i/2 + i/2: i

= i - 4i + i + 3

Add similar elements: i - 4i + i = -2i

= -2i + 3

Can someone help me with this math homework please!

Answers

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

I only need the answer

Answers

Answer:

1

Step-by-step explanation:

The given equation of the function is y = -a·(x - h)² + 1

The positive constants of the equation = a, and h

The points the function crosses the x-axis = 2, and 4

Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;

y = 0 = -a·(2 - h)² + 1

When x = 4, we have;

0 = -a·(4 - h)² + 1

-a·(2 - h)² + 1 = -a·(4 - h)² + 1

-a·(2 - h)² = -a·(4 - h)²

(2 - h)² = (4 - h)²

±(2 - h) = +#±(4 - h)

When

(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';

-(2 - h) = +(4 - h)

2·h = 4 + 2 = 6

h = 3

0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1

Therefore, a = 1

The points of tangency are:

Answers

Answer: y and x

Step-by-step explanation:

The answer is X And Y

Find the distance between (-8,-2) and (6,-1)

Answers

Step-by-step explanation:

hope it helps you........

Answer:

[tex]\sqrt{14^2 + 1^2} = \sqrt{197} = 14.03566885[/tex]

Step-by-step explanation:

Scarlett made a profit of $250.00 with her mobile car wash company

Answers

Not enough information to solve..... Please make your question more clear

. Solve by factoring: x3 – 22 – 72x = 0

Answers

The answer is x=-22/69
If you need the step by step let me know.

express 61 as a the sum of four or less square numbers

Answers

6^2 + 5^2 :)))
as that’s 36 + 25 = 61

write an equation of the line that passes through the point (-8,3) with slope 6

Answers

Answer:

y = 6x+51

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x+b

Substitute the point into the equation and solve for b

3 = 6(-8)+b

3 = -48+b

3+48 = b

51 = b

y = 6x+51

The graph shows the function f(x) = 2x
What is the value of x when fx) = 8?

Answers

Answer:

4 = x

Step-by-step explanation:

f(x) =2x

Let f(x) = 8

8 =2x

Divide each side by 2

8/2 = 2x/2

4 = x

Answer:

4

Step-by-step explanation:

f(x) = 2x

When f(x) = 8, x = 8/2 = 4.

Hope this helped,

~cloud

Find XZ given the mid-segment?

Answers

Answer:

16

having a hunch ig

Plans for a new shopping center call for buildings directly across the sidewalk from each other to be congruent. This computer printout shows a clothing store.

If the vertices of a home improvement store are located at (−x1,y1), (−x2,y2), (−x3,y3), and (−x4,y4), will the home improvement store be congruent to the clothing store?

Answers

Answer:

Yes, both stores will be congruent

Step-by-step explanation:

The given coordinates of the vertices of the home improvement store are;

(-x₁, y₁), (-x₂, y₂), (-x₃, y₃) and (-x₄, y₄)

The coordinates of the vertices of the clothing store are;

(x₁, y₁), (x₂, y₂), (x₃, y₃) and (x₄, y₄)

Therefore, the coordinates of the vertices of the home improvement store, corresponds to the coordinates of the vertices of the image of the reflection of the clothing store across the sidewalk (which is the y-axis)

A reflection of (x, y) across the y-axis gives (-x, y)

Given that a reflection is a rigid transformation, the dimensions (lengths and angles between corresponding sides) of the home improvement store and the clothing store are equal, therefore, the home improvement store will be congruent to the clothing store.

Answer:  yes, because the home improvement store is a reflection of the clothing store.

Step-by-step explanation:

Imagine math!!!

Eight years ago, the daughters age was thrice the son's age. Now the daughter's age is 4 years more than the son's age. Find their present ages.​

Answers

Answer:

Let s be the son’s current age and d be the daughter’s current age. The system of equations is:

s - 10 = 2(d - 10)

s = 3 + d

Since s is already set to an equation, we can use the substitution method for s in the other equation:

s = 3 + d

s - 10 = 2(d - 10)

3 + d - 10 = 2(d - 10)

Simplify and solve for d:

3 + d - 10 = 2(d - 10)

-7 + d = 2d - 20

-7 = d - 20

13 = d

The daughter is 13 years old. To solve for the son’s age, we will plug in the solution for d into one of the equations. The second one is simpler so we will use that:

s = 3 + d

s = 3 + 13

s = 16

The son is 16 years old. Let us use the other equation to check our solutions:

s - 10 = 2(d - 10)

16 - 10 = 2(13 - 10)

6 = 2(3)

6 = 6

It checks out. The son is 16 years old, and the daughter is 13 years old.

The present age of the daughter and son are 14 and 10 years respectively.

Let the age of the daughter be x

Let the age of the son be y

If the daughter's age is 4 years more than the son's age now, then,

x = y + 4 ............. 1

If Eight years ago, the daughters' age was thrice the son's age, then;

Daughter = x - 8

Son  = y - 8

Hence, x - 8 =3(y - 8).................. 2

Substitute equation 1 into 2 to have:

x - 8 =3(y - 8).

y + 4 - 8 = 3(y - 8)

y - 4 = 3y - 24

y - 3y = -20

-2y = -20

y = 10

Recall that x = y + 4

x = 10 + 4

x = 14

Hence the present age of the daughter and son are 14 and 10 years respectively.

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Two linear equations are shown.

A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?

(7, 4)
(7, StartFraction 13 over 3 EndFraction)
(8, StartFraction 14 over 3 EndFraction)
(9, 7)

Answers

Answer:

(7, 13/3)

Step-by-step explanation:

Given the expressions

y = 1/3x + 2 and the second line y = 4/3x - 5

Equating both expressions

1/3x + 2 = 4/3x - 5

1/3x - 4/3x = -5 - 2

-3/3x = -7

-x = -7

x = 7

Substitute x = 7 into any of the equations

Using y = 1/3 x + 2

y = 1/3(7) + 2

y = 7/3 + 2

y = (7+6)/3

y = 13/3

Hence the solution to the system of the equation is (7, 13/3)

Answer:

(7,13/3) is your answer, otherwise known as answer choice B.

Step-by-step explanation:

Can you help me find the value of x and y for both

Answers

Answer:

For the First Question:

x = 61

y = 61

For the Second Question:

x = 12

y  = 7

Step-by-step explanation:

Second question:

96 = 11y + 19

11y = 77

y = 7

96 = 8x

x = 12

PLEASE HELP ASAP 30 POINTS

Answers

Answer:

I don't know how to do please let me I will try solve the question

Mọi người giúp em với

Answers

Answer:

bka bla bla bla sorry I newbie

sin pi/3 __ __ pi/6 = 1/2(sin pi/2 + sin pi/6)

I think I’m just supposed to fill in the blank? (question off of a p e x) please give explanation!

Answers

Notice that

π/2 = π/3 + π/6

π/6 = π/3 - π/6

Recall the angle sum identities for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

By adding these together, we get

sin(x + y) + sin(x - y) = 2 sin(x) cos(y)

==>   sin(x) cos(y) = 1/2 (sin(x + y) + sin(x - y))

Now take x = π/3 and y = π/6 :

sin(π/3) cos(π/6) = 1/2 (sin(π/2) + sin(π/6))

So the blank should be filled with cos.

Inspecting Restaurants How many different ways can a city health department inspector visit restaurants in a city with restaurants?

Answers

Answer:

252 ways

Step-by-step explanation:

The missing details are:

[tex]n = 10[/tex] --- total restaurants

[tex]r = 5[/tex] --- restaurants to visit

Required

The number of ways to perform the visitation

The question is an illustration of combination;

So, we have:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives:

[tex]^{10}C_5 = \frac{10!}{(10 - 5)!*5!}[/tex]

[tex]^{10}C_5 = \frac{10!}{5!*5!}[/tex]

Expand

[tex]^{10}C_5 = \frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}[/tex]

Cancel out 5!

[tex]^{10}C_5 = \frac{10*9*8*7*6}{5*4*3*2*1}[/tex]

[tex]^{10}C_5 = \frac{30240}{120}[/tex]

[tex]^{10}C_5 = 252[/tex]

CINDY BOUGHT A 12.3 POUND TURKEY AND AN 11.7 POUND HAM FOR HOLIDAY DINNER AND PAID $34.68. Her friend Samantha bought a 10.7 pound turkey and 9.5 pound ham for $29.05. What is the cost per pound of turkey and the cot per pound of ham

Answers

Answer:

Cost of Turkey per pound is $ 1.25 and Ham is $ 1.65.  

Step-by-step explanation:

Cindy:

cost of 12.3 pound Turkey and 11.7 pound Ham = $ 34.68

Samantha:

cost of 10.7 pound Turkey and 9.5 pound Ham = $ 29.05

Let the cost of one pound of Turkey is T and one pound of Ham is H.

So,

12.3 T + 11.7 H = 34.68 ..... (1)

10.7 T + 9.5 H = 29.05 ......(2)

Solve both these equations, we get

T = $ 1.25 and H =  $ 1.65

find the sum of (x²+3xy+y²)+(x³+3x²y+2xy²+y³)​

Answers

x
3
+
3
x
2
y
+
2
x
y
2
+
y
3
+
x
2
+
3
x
y
+
y
2

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

What is the factored form of x3 + 216?

Answers

Answer:

[tex](x+6) (x^2-6x+36)[/tex]

Step-by-step explanation:

Use the identity  [tex]a^3+b^3[/tex] × [tex](a^2-ab+b^2)[/tex]  and the fact that [tex]216=6^3[/tex]

we have that,

[tex]x^3+6^3=(x+6)(x^2-6x+36)[/tex]

Answer:

[tex]  B.  (x + 6)(x^2 - 6x + 36) [/tex]

Step-by-step explanation:

x^3 + 216

x^3 is the cube of x.

216 is the cube of 6.

This is the same as x^3 + 6^3 and follows the pattern

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

[tex] x^3 + 216 = (x + 6)(x^2 - 6x + 36) [/tex]

Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them.

Use a word processor, to write up the process you have developed.

Answers

The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.

A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.

I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;

S = (n-2)*180 where:

n is the number of sides

Since we are considering a 12-sided object, then n = 12

The next thing is to tell them to substitute n = 12 into the formula given above as shown;

S = (12-2)*180

S = 10 * 180

S = 1800

This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.

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Which system of linear inequalities is graphed?

Answers

Answer:

The first one.

Step-by-step explanation:

Graph lines as if the inequalities were equal signs.

X = -3 is a vertical line at x = -3, because it's less than we shade to the left. All numbers less than -3 are to the left. The line is dashed because there is no equal to. Only less than. The line is not included in the solution set.

y = -x - 1 is a line with a y-intercept of -1 and a slope of -1. All values that are less that y are below the line. Because it's less than or equal to the line is solid.

Answer:

A

Step-by-step explanation:

The vertical line  is dotted at -3 and shaded to the left

x < -3

This gives us two choices left

A and C

The other line has a y intercept at -1 and is solid and shaded to the left

It is of the form

y ≤ mx+1  

We know the slope is negative since is goes down from left to right

The only Choice is A

the length of a photograph is 11.4 inches if the photo is enlarged so that its length is increased by 2.25 inches what the new length​

Answers

Length=11.4inIncreased length=2.25in

We know

[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]

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