All categories

3 years ago

Solve for X .. I know it’s two questions but I’m having a hard time

Mathematics

2 answers:

Simora [160]3 years ago

8 0

Answer:

Unfortunately I can't do the first one, but the second one is easy

Step-by-step explanation:

To find X in the Q) 11:

1. The triangle is an equilateral traingles meaning angles add up to 180°

2. Add the numbers - 2x - 9 + 3x + 2x = 7x -9

3. Add 9 to 180 (your adding because you changed the side of the number) - 189 = 7x

4. Divide 7 by 189

Your answer is x = 27

yanalaym [24]3 years ago

5 0

Answer:

x = 35, x = 27

Step-by-step explanation:

(9)

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

141° is an exterior angle, thus

x + 24 + 2x + 12 = 141 , that is

3x + 36 = 141 ( subtract 36 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

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

(11)

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

2x - 9 + 3x + 2x = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

You might be interested in

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

3 0

3 years ago

1/2(6N + 8) I need to simplify

Sliva [168]

Answer:

3N + 4

Step-by-step explanation:

The number next to the parenthesis means that you multiply everything inside the parentheses by that number.

1/2(6N+8) = 3N+4

8 0

3 years ago

4x + 1 = 2x - 5 show all steps

konstantin123 [22]

How to solve your question

Your question is

−

4x+1=2x-5

4x+1=2x−5

Solve

Subtract

from both sides of the equation

Simplify

Subtract

from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution

−

3 0

3 years ago

Read 2 more answers

Write and evaluate the expression. Then, complete the statements. Ten less than the quotient of thirty and a number Evaluate whe

Artyom0805 [142]

Answer:

expression: (30/t) - 10

evaluation: 30/2 - 10 = 5

Step-by-step explanation:

8 0

3 years ago

Becky is 18 and would like to buy a house when she is 36. What is the discount factor for today's prices if the housing values i

statuscvo [17]

you need to find the amount of years between now and when she wants to buy a home. 36-18= 18. then you take 18 and multiply is by %6. 18x%6 or 18x.06 =108% or 1.08.

The discount prices for today's housing values compared to 18 years from now with a 6% increase per year would be 108% discount.

3 0

3 years ago