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3 years ago

PLEASE HELP ASAP!!!!!

Mathematics

1 answer:

Nata [24]3 years ago

7 0

Answer:

$\huge\boxed{\sf x = 20}$

Step-by-step explanation:

=> Since it is an equilateral (Having all angles and all sides equal) triangle, so every angles will be equal to the other.

=> The sum of the measures of interior angles of triangle add up to 180 degrees.

So,

3x + 3x + 3x = 180

9x = 180

Divide both sides by 9

x = 20

$\rule[225]{225}{2}$

Hope this helped!

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If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.

faust18 [17]

Answer:

The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).

=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4

=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11

=> B(4, 11)

=> Option A is correct

Hope this helps!

7 0

3 years ago

Solve each equation by taking square roots<br><br> 2n^2 -8=-33

densk [106]

$2n^2 -8=-33$

$
2n^2=-33+8
 
$ $Add \ 8 \ to \ both \ sides$

$2n^2=-25$

$n^2=- \dfrac{25}{2}$ $Divide \ both \ sides \ by \ 2$

$n=+ \sqrt{ -\dfrac{25}{2} }$ <span> $Take \ the \ square \ root \ of \ both \ sides$
</span>
$n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}}$

5 0

3 years ago

A point G is 40m away from a building, which is 15m high. What is the angle of elevation to the top of the building from G?

stepladder [879]

Ф is the angle of elevation to the topo of the building from G.
length of leg adyacent to angle Ф=40m
length of leg opposite to angle Ф=15 m
tan Ф=leg opposite / leg adyacent=15/40=0.375
Ф=arctan 0.375=20.56º

The angle of elevation to the top of the building from G is 20.56º.

8 0

3 years ago

Sarah used a scale of ½ inch = 3 feet for a drawing of her business. On the drawing, a rectangular room measures 2 ½ inches by 3

Korolek [52]

Answer:

The new carpet will cost $1279.13 to the nearest cent

Step-by-step explanation:

The given is:

1. Sarah used a scale of $\frac{1}{2}$ inch = 3 feet

2. On the drawing, a rectangular room measures $2\frac{1}{2}$ inches

by $3\frac{3}{4}$ inches

3. Sarah wants to purchase new carpet for the room that costs $3.79

per square foot

We need to find much the new carpet will cost

∵ The scale is 0.5 inch = 3 feet

∵ The dimensions of the room on the drawing are $2\frac{1}{2}$ inches and

$3\frac{3}{4}$ inches

∵ $2\frac{1}{2}$ = 2.5

∵ $3\frac{3}{4}$ = 3.75

Use the ratio method

→ inches : feet

→ 0.5 : 3

→ 2.5 : x

→ 3.75 : y

- By using cross multiplication

∴ 0.5 x = 2.5 × 3

∴ 0.5 x = 7.5

- Divide both sides by 0.5

∴ x = 15 feet

∴ 0.5 y = 3.75 × 3

∴ 0.5 y = 11.25

- Divide both sides by 0.5

∴ y = 22.5 feet

∴ The actual dimensions of the room are 15 feet and 22.5 feet

Now lets find the area of the room which is the area of the carpet

∵ Area of the carpet = 15 × 22.5

∴ Area of the carpet = 337.5 feet²

∵ The cost of the carpet is $3.79 per square feet

∴ The cost of the carpet = 3.79 × 337.5 = 1278.125

∴ The cost of the carpet = $1279.13 to the nearest cent

The new carpet will cost $1279.13 to the nearest cent

Learn more:

You can learn more about ratio in brainly.com/question/13076219

#LearnwithBrainly

8 0

4 years ago

Which word phrase can you use to represent the algebraic expression 3m

Ulleksa [173]

Honestly this sounds like its asking to put it in word form so " three times m"

4 0

3 years ago