Which expression would be easier to simplify if you used the associative property to change the grouping

Answer:

Step-by-step explanation:

" ... at most 5 " ⇒ 5 is max value

[tex]\frac{x}{3}[/tex] ≤ 5

Answer:

[tex]14\sqrt{5}[/tex]

Step-by-step explanation:

   [tex]8\sqrt{5}+2\sqrt{45}[/tex]

[tex]=8\sqrt{5}+2\sqrt{9\cdot5}[/tex]

Use radical rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]=8\sqrt{5}+2\sqrt{9}\sqrt{5}[/tex]

[tex]=8\sqrt{5}+2\cdot3\sqrt{5}[/tex]

[tex]=8\sqrt{5}+6\sqrt{5}[/tex]

[tex]=(8+6)\sqrt{5}[/tex]

[tex]=14\sqrt{5}[/tex]

Combine these radicals

8√5 + 2√45

O 4√5

O 10√5

O 14√5 ✓

O 74√5

The full form of HA is Hypotenuse-angle and it states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Hence, Proved.

Answer:

HA

Step-by-step explanation:

Usually HA congruence is used in right angle triangles .as One common 90° right angle is present if Hypotenuse and adjacent angle remains similar the triangles are similar.

Answer:

=> 100

Step-by-step explanation:

=> 3(9+6)+55

=> 3(15)+55

=> 45 +55

=> 100

Step-by-step explanation:

from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2

=-5÷2 , -20÷2

= -2.5 , -10

Answer:

sorry its a little hard to answer your thing

Step-by-step explanation:

need ponits

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~= <7 - Vertical Angles Theorem

line I || line m - Transitive Property

Step-by-step explanation:

Let me start off by saying that 1 unit side is absolutely useless.

You can translate the 6 unit side downwards, so now we have a right isosceles triangle of 2 equal sides which are 6

The hypotenuse is given here by x.

Applying the Pythagorean theorem i can then say;

[tex]x {}^{2} = 6 {}^{2} + 6 {}^{2} [/tex]

[tex]x {}^{2} = 36 + 36[/tex]

[tex]x {}^{2} = 72[/tex]

[tex]x = \sqrt{72} = 6 \sqrt{2} = 8.485[/tex]

x=8.5

rounded to the nearest 10 :)

i think it should be -1.6

if you add 7 to 9 it'll be 16.

if you divide -10 by 16 it'll give you -16/10.

simplify it and you should get -8/5 or -1.6.

Applying the exterior angles theorem, the measure of the exterior angle is: m∠2 = 139°.

The exterior angles theorem states that the measure of the two remote angles in a triangle is equal to the measure of the exterior angle of a triangle.

Thus:

75° and 64° are remote interior angles.

Therefore:

m∠2 = 75° + 64°

m∠2 = 139°

Learn more about exterior angles theorem on:

https://brainly.com/question/8190762

Step-by-step explanation:

14 ft hope this hellped ask again

The perimeter of the trapezoid is 9 + √2 + √5 units. then the correct option is D.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points are J(-7, 4), K(-4, 4), L(-2, 3), and M(-8, 3).

We know that distance between two points will be given as

[tex]\rm D= \sqrt{(x_2 - x_1 )^2 + (y_2 - y_1)^2}[/tex]

The distance between JK will be

[tex]JK = \sqrt{(-4+7)^2 + (0)^2 } = 3[/tex]

The distance between KL will be

[tex]KL = \sqrt{(-2+4)^2 + (3-4)^2 } = \sqrt5[/tex]

The distance between LM will be

[tex]LM = \sqrt{(-8+2)^2 + (0)^2 } = 6[/tex]

The distance between JK will be

[tex]MJ = \sqrt{(-7+8)^2 + (4-3)^2 } = \sqrt2[/tex]

Then the perimeter will be

Perimeter = JK + KL + LM + MJ

Perimeter = 3 + √5 + 6 + √2

Perimeter = 9 + √2 + √5

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

Answer:

the correct answer would be D

Step-by-step explanation:

Answer:

[tex]M = (3,5.5)[/tex]

Step-by-step explanation:

Given

[tex]A = (-1,8)[/tex]

[tex]B = (7,3)[/tex]

Required

Determine the midpoint

This is calculated as thus

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (7,3)[/tex]

So, we have:

[tex]M = (\frac{-1+7}{2},\frac{8+3}{2})[/tex]

[tex]M = (\frac{6}{2},\frac{11}{2})[/tex]

[tex]M = (3,5.5)[/tex]

Hence;

The midpoint is (3,5.5)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me I got it right on Khan

The distance from the person to the base of the cliff is 269.78 meters.

The height of the building from the base of the cliff is 829.37 meters

The situation forms right angle triangle.

The building is constructed on top the cliff that is 300 meters high.

Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.

The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.

Using sin rule,

300 / sin (72 - 63) = y / sin (180 - 162)

300 / sin 9 = y / sin 18

300 sin 18 = y sin 9

y = 300 sin 18 / sin 9

y = 92.7050983125 / 0.156

y = 594.230769231

Therefore, how far the person to the base of the cliff can be calculated as follows;

cos 63 = adjacent / hypotenuse

cos 63 = x / 594.2307

x = 594.2307 cos 63

x = 269.775092454

x = 269.78 meters

Therefore, the distance from the person to the base of the cliff is 269.78 meters.

height of the cliff  / 269.78 = tan 63

height of cliff = 269.78 tan 63

height of cliff = 529.37493165

height of cliff = 529.37

The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters

learn more on right triangle here: https://brainly.com/question/14806301

Answer:

1

Step-by-step explanation:

30

-29

-----

1

the answer is one

Answer:

the answer is 1

Step-by-step explanation:

39

-29

——

01

Answer:

y=-1

Step-by-step explanation:

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

m=(-1-(-1))/(-5-0)

m=(-1+1)/-5

m=0/-5

m=0

y-y1=m(x-x1)

y-(-1)=0(x-0)

y+1=0

y=0-1

y=-1

An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).

Answer: home / math / distance calculator

Distance Calculator

The calculators below can be used to find the distance between two points on a 2D plane or 3D space. They can also be used to find the distance between two pairs of latitude and longitude, or two chosen points on a map.

2D Distance Calculator

Use this calculator to find the distance between two points on a 2D coordinate plane.

Result

Distance: 7.8102496759067

Steps:

Distance (d) = √

Step-by-step explanation:

Work Shown:

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( -3x^2 ) - ( -5x+3 )

(f - g)(x) = ( -3x^2 ) - ( -5x) - ( 3 )

(f - g)(x) = -3x^2 + 5x - 3

Answer:

44 and 46

Step-by-step explanation:

A complementary angle is 90 degrees

90/2 = 45

If 45 + 45 = 90

44 + 2 = 46
44 + 46 = 90

:)

Answer: 2.19 pounds

Step-by-step explanation:

35 / 16 is 2.1875, if you round that you get 2.19

Answer:

x=134

Step-by-step explanation:

As angles in a triangle add up to 180 degrees

also angles on a straight line add up to 180

so 180-(64+70)=46

and 180-46=134

PLEASE GIVE BRAINLIEST AND THANKS

Answer: proportional

Step-by-step explanation: it is proportional because you can multiply any number by 7

Answer:

28.25in

Step-by-step explanation:

Answer:

Im not sure what you want it to be rounded but heres the answers:

Whole number: 98

Tenths: 98.5

Hundredths: 98.49

Thousandths: 98.489

Step-by-step explanation:

Answer:

lie on goes

Step-by-step explanation:

answer is Lie On For First And Goes For Second

Answer:

Its 3 bro

Step-by-step explanation:

my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A