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3 years ago

The angles in this diagram are complementary. What is the value of x? (4x )° (2x + 6)°

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Answer:

x=168

Step-by-step explanation:

So basically Complementary are 2 angles that add up to 90°

(2x+6)=90

Move the constant to the right hand side and change its sign

2x=90-6

Substract the numbers

2x=84

Divide both sides by 2

x=42

Than plug in to (4x)

(4)(42)

which is =168

You might be interested in

The perimeter of a rectangle is 34 units. Its width is 6.5, point

Sliva [168]

Answer:

Length = 10.5units,Area = 68.25 unit²

Step-by-step explanation:

Perimeter =34 units

Width =6.5 units

Perimeter = l+l+w+w

Where l= length and w= width

34 = l + l + 6.5+ 6.5

34.= 2l + 13

Subtract 13 from both sides

2l = 34 - 13

2l = 21

Divide both sides by 2

L= 21/2

Length = 10.5units

If we are to find the area.

Area = length x width

Area = 10.5 × 6.5

Area = 68.25 unit²

I hope this was helpful, please mark as brainliest

6 0

3 years ago

Help 20 POINTS, TOPIC: HOURLY RATES

Shtirlitz [24]

B.
For all 3 to work together, they can paint 1 room per hour.
C.
John can paint a room at 1/4 of a room per hour.
Rick can paint a room at 1/5 of a room per hour.
Together they can paint a room at a rate of 9/20 of rooms per hour.
D.
1 = 1/4j + 1/5r + 11/20m (john, rick, molli)
E.
The least common denominator is 20
F.
1 = 1/4(0) + 1/5(0) + 11/20x
1 = 0 + 0 + 11/20x
1 = 11/20x
x = 1/(11/20)
x = 1 9/11
It will take Molli 1 hour and 49 minutes (60 x 9/11) to paint the room alone.

6 0

4 years ago

Which of the following values for x and y satisfy the following system of the equations?

weqwewe [10]

Answer:

The answer to your question is letter C

Step-by-step explanation:

Equations

x + 4y = 10

5x + 10y = 20

Process

1.- Substitute all the options in both equations and evaluate them

a) x = 3, y = 2 This option is incorrect

(3) + 4(2) = 10 3 + 8 = 10 11 ≠ 10

5(3) + 10(2) = 20 15 + 20 = 20 35 ≠ 20

b) x = 2, y = -3 This option is incorrect

(2) + 4(-3) = 10 2 -12 = 10 -10 ≠ 10

(2) + 10(-3) = 20 2 - 30 = 20 -28 ≠ 20

c) x = -2, y = 3 This is the right answer

(-2) + 4(3) = 10 -2 + 12 = 10 10 = 10

5(-2) + 10(3) = 20 -10 + 30 = 20 20 = 20

d) x = 3, y = -2 This option is incorrect

(3) + 4(-2) = 10 3 - 6 = 10 - 3 ≠ 10

5(3) + 10(-2) = 20 15 - 20 = 20 -10 ≠ 10

6 0

3 years ago

Please help it says: what is the volume of this figure? Show work and label!!

Mashcka [7]

Answer:

The ANSWER IS No clue

Step-by-step explanation:

8 0

3 years ago

The end points of line segment PQ are P(1, 3), and Q(7, 7). What is the midpoint of line segement PQ?

dangina [55]

Answer:

D) (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Midpoint Formula: $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point P(1, 3)

Point Q(7, 7)

Step 2: Identify

P(1, 3) → x₁ = 1, y₁ = 3

Q(7, 7) → x₂ = 7, y₂ = 7

Step 3: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]: $\displaystyle (\frac{1+7}{2},\frac{3+7}{2})$
[Midpoint] Add: $\displaystyle (\frac{8}{2},\frac{10}{2})$
[Midpoint] Divide: $\displaystyle (4,5)$

8 0

3 years ago