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scoundrel [369]
3 years ago
13

Can someone please help me with this?

Mathematics
1 answer:
mash [69]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

∠c = ∠ a = 47° ( vertical angles )

∠c and ∠b form a straight angle and are supplementary, thus

∠c + ∠b = 180, that is

47 + ∠b = 180 ( subtract 47 from both sides )

∠b = 133°

∠d = ∠b = 133° ( vertical angles )

That is a = c = 47° and b = d = 133°

The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°

360° is the sum of the angles round a point , hence answer is correct

You might be interested in
Joe is 5 years older than Sydney. The sum of their ages is 45. What is Sydney’s age?
sweet-ann [11.9K]

Answer:

20 years old

Step-by-step explanation:

Joe = J

Sydney = S

J = 5 + S

J + S = 45

Substitute

5 + S + S = 45

Add

5 + 2S = 45

Subtract 5 from both sides of the equation

2S = 40

Divide both sides of the equation by 2

S = 20

Sydney is 20 years old

Hope this helps :)

8 0
3 years ago
I need help with this
Fudgin [204]
You can’t solve this, not enough information
5 0
4 years ago
Kay and Allen sell cell phones. Last month Kay sold 17 more cell phones than Allen. Together they both sold 117 cell phones. How
mrs_skeptik [129]

Answer:

Kay sold 67; Allen sold 50

Step-by-step explanation:

Let "a" represent the number of phones that Allen sold.

a + (a+17) = 117 . . . equation used to find the answer

2a = 100 . . . . . . . . subtract 17, collect terms

a = 50 . . . . . . . . . . divide by 2; the number Allen sold

a+17 = 67 . . . . . . . . Kay sold 17 more than Allen

5 0
3 years ago
The length of a rectangle is 3 meters more than twice its width.The perimeter of the rectangle is 48 meters. Let W represent the
lord [1]
Perimeter of a rectangle: 2(l+w)

Let width be 'x'

Length is 3 meters more than twice 'x'
Length= 2x+3.

L= x
W = 2x+3


Formula =
2(x+2x+3)
2(3x+3)
6x+6.
6(x+1)
8 0
4 years ago
Type the correct answer in each box. Use numerals instead of words.
stira [4]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
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