An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Answer:

It is C, because to find volume you must use the formula l×w×h, or length times the width times the height. (cm^3)

Answer:

C

Step-by-step explanation:

Unlike area that's cm² because it's like A= L*W

Volume is cm³ because it's like A= L*W*H

Answer:

Step-by-step explanation:

3x - 70 = x

2x = 70

x = 35

3(35) - 70

105 - 70 = 35

m<ABC = 35

answer is C

The value of the angle ∠ABC = 35°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be ∠ABC = ( 3x - 70 )°

Now , from the figure ,

The value of angle ∠A = x°

The value of x° is equal to ( 3x - 70 )° because they are corresponding angles

Now , from the theorem of angles cut by transversal , we get

The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size

Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other

So ,

Substituting the values in the equation , we get

x° is equal to ( 3x - 70 )°

x° = ( 3x - 70 )°

x = 3x - 70

Adding 70 on both sides of the equation , we get

3x = x + 70

Subtracting x on both sides of the equation , we get

2x = 70

Divide by 2 on both sides of the equation , we get

x = 35°

So , the value of ∠ABC = ( 3x - 70 )°

∠ABC = ( 3x - 70 )°

∠ABC = ( 135 - 70 )°

∠ABC = 35°

Hence , The value of the angle ∠ABC = 35°

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Answer:

15y²-21y-18

Step-by-step explanation:

Answer:

[tex] {(x + y)}^{2} - 1[/tex]

Step-by-step explanation:

[tex] {x}^{2} + y(y - 2x) - 1[/tex]

[tex] {x}^{2} + {y}^{2} - 2xy - 1[/tex]

Using the identity (a - b)^2 here ,

[tex] {(x + y)}^{2} - 1[/tex]

Answer:

-2/3

Step-by-step explanation:

Step 1:

-1/3 ÷ 1/2

Step 2:

-1/3 × 2/1

Answer:

-2/3

Hope This Helps :)

Answer:

The value of x is 11 degrees

Step-by-step explanation:

Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.

When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.

By property, vertically opposite angles are equal.

Thus, in this case, we are to equate the angles we are having since they are both vertical angles;

Thus,

Mathematically;

angle A = angle B

3x + 3 = 4x -8

Collect like terms;

4x-3x = 3 + 8

x = 11 degrees

Answer:

90 -4.75x = 75 -3.25x

90-75= 4.75x-3.25x

x= 10

Step-by-step explanation:

Answer:

10 drinks

Step-by-step explanation:

We can set up an equation to find the amount of drinks needed, x.

[tex]90-4.75x = 75-3.25x[/tex]

Now let’s solve for x by isolating it on one side of the equation.

Subtract 75 from both sides:

[tex]15 - 4.75x = -3.25x[/tex]

Add 3.25x to both sides:

[tex]15-1.5x=0[/tex]

Add 1.5x to both sides:

[tex]15 = 1.5x[/tex]

Divide both sides by 1.5:

[tex]x = 10[/tex]

Hope this helped!

Hey there! I'm happy to help!

439.6 is 56% of the first Ferris wheel. The word is means equals, so we can set up the following equation. We will call the original wheel w.

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125 ft.

Have a wonderful day! :D

Step-by-step explanation:

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125

125ft.

Answer:

IJ = 20

Step-by-step explanation:

Point I is on the lines segment HJ. So,

HJ = HI + IJ

Putting all the given values, we get :

4x=2x+4x-10

Taking like terms together, we get :

-2x=-10

x=5

Put the value of x in IJ = 4x-10

IJ = 4(5)-10

IJ = 20

Hence, the value of IJ is 20.

Answer:

10

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Given

- 8(- x - 7) = 120 ( divide both sides by - 8 )

- x - 7 = - 15 ( add 7 to both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

Hey there! I'm happy to help!

First let's find the radius. The radius is half of the diameter.

9/2=4.5

Here's how to find the volume of any sphere.

You cube the radius.

4.5³=91.125

You multiply by 3.14

91.125(3.14)=286.1325

And finally we multiply by 4/3.

286.1325(4/3)=381.51

We round to the nearest tenth, giving us a volume of 381.5 in^3.

Have a wonderful day! :D

9 in = 3 in

v = 3,14x 3 x 3

= 28,26

43. 3

------ or 5-------

8. 8

Step-by-step explanation:

Firstly Find the LCM

15. 11. 5

---- +. ---- - ----

8. 3. 6

45 + 88

-------------

24

i.e = 133. 5

--------- - ------

24. 6

133. - 4

--------------------

24

therefore. 129

--------

24

43. 3

------ or 5-------

8. 8

Answer:

25 /18  = 1 7/18 ≈ 1.389

Answer:

1.38

Step-by-step explanation:

2.5/1.8

Answer:

-5

Step-by-step explanation:

Answer: -5

Answer if it is multiplication: 1.5555...(If it is additon don't pay attention to this answer)

Step-by-step explanation: -9 + -5 = -14.

Answer:6

Step-by-step explanation:

d=2r

Answer:

14 x 14 x 14 x 14 x 14 = [tex]14^5\\[/tex]

Step-by-step explanation:

Answer:

-0.1

Step-by-step explanation:

just did it

The common difference in the given sequence is 0.1, gotten by subtracting second term from the first term

A common difference is a value that describes the step or the diference between two items in a sequence, it is also a value that follows a pattern.

Common difference can either by whole numbers or decimal.

Learn more about common difference here:

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Answer:

A is your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

Answer:

the top one

Step-by-step explanation:

The answer is A. 2 ≥ 8

Answer:

x = 2, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 4y = 18 → (1)

5x + 6y = 28 → (2)

Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x

15x + 20y = 90 → (3)

- 15x - 18y = - 84 → (4)

Add (3) and (4) term by term to eliminate x

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(3) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Solution is (2, 3 )

Answer:

x = ±√17

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.

Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.

x² = 17 ; √x² = √17 ; x = ±√17

~

Answer:

12

Step-by-step explanation:

Subtract 5 from both sides to get the equation

1/2z=6

Then, multiply both sides by two.

z=12

Z equals 12 because when you split it in half you will get 6 as the whole number. and 6 plus 5 = 11

Answer:

find the radius of the base

find the area of the base

find the height of the cone

divide by three at the end

Step-by-step explanation:

this is from the formulae of volume of the cone

1/3πr2h