A side of the triangle below has been extended to form an exterior angle of 72°. Find the value of xx

Answer:

D: x = -18

Step-by-step explanation:

A good way to solve this it to input all options until you find the one that fits for both options.

Option A :

15 + 6 / 15 - 3 = 21 / 12 or 7/4

So this one doesn't work.

Option B :

10 + 6 / 10 - 3 = 16 / 7

So this one also doesn't work.

Option C:

3 + 6 / 3 - 3 = 9 / 0 which is 0 by the laws of dividing by zero.

This one also doesn't work leaving only one option.

Option D:

-18 + 6 / -18 - 3 = -12 / -21 or 4 / 7

And by solving we can find out we did our work correctly and get our answer.

Answer:

8,888,890

Step-by-step explanation:

yup yup

Answer:

The height of the tomato soup can is 2.6 in.

Step-by-step explanation:

"The can of chicken noodle soup has a height of 4 inches and a radius of 2 inches."

We can find the volume of this can.

V = pi r² h

V = 3.14 * (2 in.)² * (4 in.)

V = 50.24 in.³

"The can of tomato soup has the same volume, but a radius of 2.5 inches."

Now we know the volume of the can, so we can find the height, h.

V = pi r² h

50.24 in.³ = 3.14 * (2.5 in.)² * h

50.24 in.³ = 19.625 in.² * h

h = (50.24 in.³)/(19.625 in.²)

h = 2.56 in.

Answer: The height of the tomato soup can is 2.6 in.

Answer:

:Volume of can of chicken noodle soup=50.24inch^3

:Height of can of tomato soup=2.56inches

Step-by-step explanation:

CHICKEN NOODLE SOUP :height=4inches

:radius=2inches

[ V=πr2h]

V=(3.14×2×2×4)=50.14

Now, Volume is same of both the can.

Volume of can of tomato soup=50.24;radius=2.5inches;

Height of can of tomato soup,

50.24=(3.14×2.5×2.5×h)

50.24=19.625h

h=50.24/19.625

=2.56inches

Answer:

a

Step-by-step explanation:

kjddhllkfewtuikkbccjg

please mark this answer as brainlist

Answer:

x=√5

Step-by-step explanation:

Use the pythagorean theorem

Answer:

Step-by-step explanation:

Answer:

50 or 125

Step-by-step explanation:

if u want E=MC then it would be 20 ×2.5=50

OR

if u what to find E=MC² then it would be 20×2.5×2.5 =125

ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.

Answer:

E = 50

Step-by-step explanation:

If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5

20*2.5 = 50

thus E=50

Answer: x = 4

Step-by-step explanation:

2(x+1)=10

Distributive properties

a*(b+c)=(a*b)+(a*c)

Using distributive properties

Then

2*(x+1)=(2*x)+(2*1)

2*(x+1)=2x+2

Now, commutative properties

a*b=b*a

Addition is cumulative

a+(-b)=(-b)+a

Therefore applying to 2x+2

2x+2+(-2)=2x+(-2)+2

Then, applying to the equation

2x+2+(-2)=10+(-2), +×-=-

2x+2 -2=10-2

2x=8

Using division properties

ax=b

If a is none zero

Then ax/a=b/a

Therefore x=b/a

Applying that to 2x=8

2x=8. Divide both side by 2 which is none zero

2x/2= 8/2

x=4

Option B

Subtraction Property of equality

please click thanks and mark brainliest if you like :)

Answer:

2x + 2 − 2 = 10 − 2; Subtraction Property of Equality

Mark me, It would be my very first!!

Answer:

x² - x - 12 = 0

Step-by-step explanation:

Given the x- intercepts are x = - 3 and x = 4 , then the factors are

(x + 3) and (x - 4)

Expressing as a zero product

(x + 3)(x - 4) = 0 ← expand using FOIL

x² - x - 12 = 0

Answer:

20

Step-by-step explanation:

Use the Pythagorean theorem. a^2+b^2=c^2

12^2+16^2=c^2

144+256=c^2

400=c^2

20=c

Answer:

The equation that represents this relation is [tex]y = 3x - 5[/tex].

The relation is a function.

If the domain of the relation is x > 2, the range of the relation is [tex]y >1[/tex]

Step-by-step explanation:

Given

Output = 3 * Input - 5

Required

Complete the gap

Solving (a):The equation for the relation.

Let

[tex]x \to[/tex] input

[tex]y \to[/tex] output

The relation is:

[tex]y = 3 * x - 5[/tex]

[tex]y = 3x - 5[/tex]

Solving (b): Is the relation, a function?

Yes; Because every value of x has a distinct value in 7

Solving (c): The range:

Domain: [tex]x > 2[/tex]

Substitute 2 for x in [tex]y = 3x - 5[/tex]

[tex]y =3 * 2 - 5[/tex]

[tex]y =6 - 5[/tex]

[tex]y =1[/tex]

The range is:

[tex]y >1[/tex]

Answer:

The equation that represents this relation is [ y= 3x - 5 ]

The relation [ is ] a function.

If the domain of the relation is x > 2, the range of the relation is y > [ 1 ].

Step-by-step explanation:

The output, y, of a relation, is the difference of three times the input, or 3x, and 5. So, y = 3x − 5.

Substituting any x-value from the domain into the equation will result in exactly one value of y, so the relation is a function.

To find the range of the relation, given the domain, substitute the boundary point of the domain into the function equation:

When x = 2, y = 3(2) − 5 = 6 − 5 = 1.

Because substituting values of x that are greater than 2 will result in values of y that are greater than 1, the range of the relation is y > 1.

Hope this helps !!

secA=√2

secA=sec45

A=45°

3cos²45+5tan²45/ 4tan²A-sin²45

= 3(1/√3)²+5(1)² / 4(1)²-(1/√2)²

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

=13/7

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Using the identities

cos x =[tex]\frac{1}{secx}[/tex] , sin²x = 1 - cos²x

tan²x = sec²x - 1

Given

[tex]\frac{3cos^2A+5tan^2A}{4tan^2A-sin^2A}[/tex]

= [tex]\frac{3(\frac{1}{sec^2A}+5(sec^2A-1) }{4(sec^2A -(1-cos^2A)}[/tex]

= [tex]\frac{3.(\frac{1}{\sqrt{2})^2 } +5((\sqrt{2})^2-1) }{4((\sqrt{2})^2-1)-(1-(\frac{1}{\sqrt{2} })^2 }[/tex]

= [tex]\frac{\frac{3}{2}+5(2-1) }{4(2-1)-(1-\frac{1}{2} )}[/tex]

= [tex]\frac{\frac{3}{2} +5}{4-\frac{1}{2} }[/tex]

= [tex]\frac{\frac{13}{2} }{\frac{7}{2} }[/tex]

= [tex]\frac{13}{2}[/tex] × [tex]\frac{2}{7}[/tex]

= [tex]\frac{13}{7}[/tex]

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

Using second equation of kinematics

[tex]\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2[/tex]

[tex]\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2[/tex]

[tex]\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a[/tex]

[tex]\\ \sf\longmapsto 50a=150[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{150}{50}[/tex]

[tex]\\ \sf\longmapsto a=3m/s^2[/tex]

Using newtons second law

[tex]\\ \sf\longmapsto F=ma[/tex]

[tex]\\ \sf\longmapsto F=1000(3)[/tex]

[tex]\\ \sf\longmapsto F=3000N[/tex]

Answer:

Step-by-step explanation:

The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.

[tex]10^2=8^2+x^2[/tex] and

[tex]100-64=x^2[/tex] and

[tex]x^2=36[/tex] so

x = 6. The width is 6.

Answer:

Step-by-step explanation:

eq. of any line withslope 1/6 is

y=1/6x+c

∵ it passes through (-2,7)

so 7=1/6(-2)+c

c=7+1/3=22/3

eq. of line is

y=1/6x+22/3

Answer:

y = 1/6x + 7 1/3

Step-by-step explanation:

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

y = 1/6x+b

Substitute the point into the equation

7 = 1/6(-2)+b

7 = -1/3+b

Add 1/3 to each side

7 1/3 = b

y = 1/6x + 7 1/3

Answer:

x=6

Step-by-step explanation:

side AB is proportional to side XY

side AC is proportional to side XZ

Since we know side AB and side XY are proportional to each other, if we divide side AB by side XY, we can find the size difference...

12 / 4 = 3

The smaller triangle is 3 times smaller than the bigger triangle so we can find side XZ by dividing side AC by 3...

18 / 3 = 6

x = 6

The measure of the length of x is 9 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "≈".

Given triangles ABC ≈ XYZ

for similar triangles, corresponding sides are proportionately equal and corresponding angles are congruent,

so AB/XY = AC/XZ = BC/YZ

substitute the values

12/4 = 18/x = 9/YZ

12/4 = 18/x

x= 9 units

Hence the value of x is 9 units.

Learn more about similar triangles;

https://brainly.com/question/14926756

#SPJ2

Answer:

No

Step-by-step explanation:

Because intergerss are there positive opposite and its negative

Answer and Step-by-step explanation:

-626 is an integer because it is a whole number, not a fraction.

Integers can be both positive and negative numbers. What can't be an integer are fractions and decimals.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

804.2 km³

Step-by-step explanation:

Volume of a cylinder: πr²h

r = radius, h = height

[tex]\pi r^2h\\\pi(8)^2(4)\\\pi(64)(4)\\\pi(256)\\804.2[/tex]

Answer:

0 is the answer . The explanation is in the attachment .

Answer:

[tex]\frac{-27b^{6}}{c^{18}}[/tex]

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]

Answer:

slope = [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{6}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{6}{5}[/tex]

Answer:

6/5

Step-by-step explanation:

this equation is already in the slope intercept form, meaning the slope (gradient)is the coefficient of x( the number before x). in this case it's 6/5.

I hope this helps

Answer:

see image

Step-by-step explanation:

Answer:

That's the graph for the function f(x)= -1/2 x^2 + 7

The vertex is f(0) = 7

Answer:

equation is y = 2-x

Step-by-step explanation:

x1 = -3

y1 = 5

x2 = 4

y2 = -2

now

m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1

so m = -1

now

y =mx + b

-2 = -1×4 + b

or, -2 = -4 +b

so, b = 2

now

y = mx+b

y = -1x + 2

or, y = 2-x

Answer:

The equation would be 8h= 128

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

When you divide both sides by 8, you end up with:

16

Answer:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals

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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.

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