What’s the length of HI?

Use calculator for the solving:

12 / 24 - 3/216 +5600 -5554 = ?

Answer: 46.4861111111

Hopefully it's correct :)

Answer:

x=-8

Steps:

Simplify-

−3(−7−x)= x+2/2

Simplify-

−3(−7−x)= 1+ x/2

Multiply both sides by 2-

−6(−7−x)=2+x

Expand-

42+6x=2+x

Subtract 2 from both sides-

42+6x−2=x

Simplify-

6x+40=x

Subtract 6x from both sides-

40=x−6x

Simplify-

40=−5x

Divide-

-40/5=x

Simplify-

-8=x

Switch sides-

x=-8

I believe this is correct, if not let me know and I will fix it.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

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

[tex]xy = - 2[/tex]

Now,

[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ [/tex]

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ 3x {}^{2} - 2 \times 3x \times 2y + 2y {}^{2} = 5 {}^{2} \\ 9 {x}^{2} - 12xy + 4y {}^{2} = 25 \\9x {}^{2} + 4y {}^{2} = 25 + 12xy \\ 9x {}^{2} + 4 {y}^{2} - 1 = 24 + 12xy[/tex]

✐ So, the value of 9x² + 4y² - 1 is 24 + 12xy

Now,

xy = - 2

So, 12xy = 12 × - 2 = - 24

•°• 24 + 12xy

= 24 + (-24)

= 24 - 24

= 0

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

[tex]( -2 ,\:-6) [/tex]

Step-by-step explanation:

Given points are: [tex] S=(-7,-8)=(x_1, \:y_1) \:\&\:T= (3,-4)=(x_2, \:y_2) [/tex]

Midpoint of segment ST

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

[tex]M=( \frac{-7+3}{2} ,\:\frac{-8+(-4)}{2}) [/tex]

[tex]M=( \frac{-7+3}{2} ,\:\frac{-8-4}{2}) [/tex]

[tex]M=( \frac{-4}{2} ,\:\frac{-12}{2}) [/tex]

[tex]M=( -2 ,\:-6) [/tex]

Answer:

1200 Containers

Step-by-step explanation:

According To The Question, We Have

By All this Data We Found That, Basically A Big Size Cuboid is Formed Here.

Now, For The Total Numbers Of Containers = 10×15×8 = 1200 Containers

Answer:

$82.5

Step-by-step explanation:

40%-33

10%-8.25

100%-82.5

Answer:

b=57° (vertically opposite angles)

Step-by-step explanation:

57°+a+b+c=360° (angles around a point)

57°+57°+a+c=360°

114°+a+c=360°

a+c=360°-114°=246°

a=c (vertically opposite angles)

therefore 2a=246°

a=123°

b=123°

Answer:

w> -24

Step-by-step explanation:

w +6 > -18

Subtract 6

w+6-6 > -18-6

w> -24

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

Step-by-step explanation:

it's a right angled triangle

it's also a scalene triangle because not all sides are equal

Given:

The figure of two triangle XYZ and UWV.

To find:

The theorem that is used to verify [tex]\Delta XYZ\sim \Delta UWV[/tex].

Solution:

In triangle XYZ,

[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex]        (Angle sum property)

[tex]70^\circ+90^\circ+m\angle Z=180^\circ[/tex]

[tex]160^\circ+m\angle Z=180^\circ[/tex]

[tex]m\angle Z=180^\circ-160^\circ[/tex]

[tex]m\angle Z=20^\circ[/tex]

In triangle XYZ and triangle UWV,

[tex]m\angle Y\cong m\angle W[/tex]                  (Right angles)

[tex]m\angle Z\cong m\angle V[/tex]                  (Equal measures)

Two angles of one triangle are congruent to corresponding angles of another triangle. So, the triangles are similar by AA property of similarity.

[tex]\Delta XYZ\sim \Delta UWV[/tex]           (AA similarity theorem)

Therefore, the correct option is B.

Answer:

[tex]12\frac{1}{5}[/tex] in

Step-by-step explanation:

That's the correct answer :)

Answer:

4

Step-by-step explanation:

3*5*4*3*2*1

3x-x+2=4

Answer:

6x10^3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Step-by-step explanation:

Solution = (-2,1)

Because, the point (-2,1) is tangent to 2 intersecting lines

Answer:

h = 9.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

h² + 7.2² = 12² ( h is the height of the building )

h² + 51.84 = 144 ( subtract 51.84 from both sides )

h² = 92.16 ( take the square root of both sides )

h = [tex]\sqrt{92.16}[/tex] = 9.6 ft

Answer:

1.48 m

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Then the sum for the 14 boys is

[tex]\frac{sum}{14}[/tex] = 1.56 ( multiply both sides by 14 )

sum = 21.84 m

The sum for the class of 32 is

[tex]\frac{sum}{32}[/tex] = 1.515 ( multiply both sides by 32 )

sum = 48.48 m

Thus the sum for the 18 girls is

sum = 48.48 - 21.84 = 26.64 m

Then mean height of girls is

mean = [tex]\frac{26.64}{18}[/tex] = 1.48 m

Answer:

18 scoops is the correct answer

Step-by-step explanation:

3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)

and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)

thus total lentils required is 6/8 + 12/8 = 18/8 cups.

with scoop size 1/8 cup you'll need 18 scoops .

Answer:

18 1/8 scoops

Step-by-step explanation:

Soup:

6 scoops from a 1/8 cup can make a 3/4 cup

Salad:

4 scoops from a 1/8 cup can make a 1/2 cup

If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.

Answer:

32 $

Step-by-step explanation:

Answer:

b. 3(8.35) ^x

Step-by-step explanation:

3(1.7) ^4x = 3 • [(1.7)⁴]^x

= 3 (8.35) ^x

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

Answer:

Uuy

Step-by-step explanation:

Answer:

13.60units

Step-by-step explanation:

Given data

U(-7,5) and V(4, -3)

x1=-7

y1=5

x2= 4

y2= -3

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-(-7))²+(-3-5)²)

d=√((4+7))²+(-8)²)

d=√(11)²+(-8)²)

d=√121+64

d=√185

d=13.60units

Hence the distance is 13.60units

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.

Answer:

step one you look at the question until you find the ex cuz it says 125 degrees and 125 degrees 2x

Answer:

x = 50

Step-by-step explanation:

The sum of all entire angles in this, esentially a pentagon, add up to 540

To find x, use the following

540 = 125 + 125 + 90 + 2x + 2x

540 - 125 - 125 -90 = 4x

200 = 4x

200 / 4 = x

50 = x

Answer:

Earth's Rotation

Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.

Answer:

7

Step-by-step explanation: