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3 years ago

If (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

Step-by-step explanation:

x + 30 = 180 - 2x [vertically opposite angles]

x = 180 - 30 - 2x

x = 150 - 2x

x + 2x = 150

3x = 150

x = 150/3

x = 50

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Wesley spent $34.60 at the grocery store. 15% of that was spent on fruit. How much did Wesley spend on fruit?

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Answer:

5.19 I'm not 100% sure if it's right tho.

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3 years ago

Read 2 more answers

For the triangles to be congruent by hl, what must be the value of x? 8 9 17 34

lora16 [44]

Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.

<h3>What are equations?</h3>

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, HL is a hypotenuse that will be congruent to the hypotenuse AC.

We know that HL is 3x + 3.

Ac is 15.

Then the equation will be:

3x + 3 = 15

Now, solve the equation to get x as follows:

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.

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Correct question:
For the triangles to be congruent by hl, what must be the value of x?

a. 8

b. 9

c. 17

d. 3

e. 4

8 0

2 years ago

If gasoline costs 1.50 euros per liter it will cost how much to drive 220 kilometers

jok3333 [9.3K]

Answer:

$11.79\ euros$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Suppose that a new fuel-efficient European car travels an average of 28 kilometers on 1 liter of gasoline. If gasoline costs 1.50 euros per liter, how much will it cost to drive 220 kilometers ?

step 1

using proportion

Find out the number of liters of gasoline needed for 220 kilometers

$\frac{28}{1}\ \frac{Km}{L}=\frac{220}{x}\ \frac{Km}{L}\\\\x=220/28\\\\x=7.86\ L$

step 2

Find the cost to drive 220 kilometers

Multiply the cost of one liter of gasoline by the total liters of gasoline needed to travel 220 Km

$1.50(7.86)=11.79\ euros$

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3 years ago

A landscape design company is building a large gazebo for a backyard. It is in the shape of the

IceJOKER [234]

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

<h3>What is a polygon?</h3>

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

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3 years ago

1. Jadyn started off his long division problem incorrectly. What is his mistake?

Anastaziya [24]

The mistake Jadyn made in the long division is

Mistake in subtraction
the first quotient

<h3>What is long division ?</h3>

Long division refers to a way of dividing large numbers

performing the long division correctly gives

divisor dividend quotient multiplication subtraction new dividend

8 335 40 8 * 40 = 320 335 - 320 15

8 15 1 8 * 1 = 8 15 - 8 7

8 70 0.8 8 * 8 = 64 70 - 64 6

8 60 0.07 8 * 7 = 56 60 - 56 4

8 40 0.005 8 * 5 = 40 40 - 40 0

The quotient is then added as

40 + 1 + 0.8 + 0.07 + 0.005 = 41.875

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2 years ago

If (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .​

If (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .