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3 years ago

Does anyone know how to do this?

Mathematics

2 answers:

dezoksy [38]3 years ago

8 0

It is 45 because angle EBC is congruent to CDE (x) because of a rule called alternate angles. so x= 45°

Pavlova-9 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

x = 45 {Angles on the same segment of a circle are equal}

EC ---> chord

∠EBC & ∠EDC are on the same segment

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3 years ago

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4 years ago

What two numbers multiply to -112 and add up to -54

SVETLANKA909090 [29]

Xy = -112
x + y = -54

$xy = -112$
$\frac{xy}{x} = \frac{-112}{x}$
$y = \frac{-112}{x}$

$x + y = -54$
$x + \frac{-112}{x} = -54$
$\frac{x^{2}}{x} + \frac{-112}{x} = -54$
$\frac{x^{2} - 112}{x} = -54$
$x^{2} - 112 = -54x$
$x^{2} + 54x - 112 = 0$
$x^{2} + 56x - 2x - 112 = 0$
$x(x) + x(56) - 2(x) - 2(56) = 0$
$x(x + 56) - 2(x + 56) = 0$
$(x - 2)(x + 56) = 0$
$x - 2 = 0$ $or$ $x + 56 = 0$
$x = 2$ $or$ $x = -56$

  x + y = -54
  2 + y = -54
- 2   - 2
y = -56
  (x, y) = (2, -56)

  or

x + y = -54
  -56 + y = -54
+ 56 + 56
y = 2
  (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.

6 0

3 years ago

Read 2 more answers

A line connecting the points (-3,0) and (x, -6)has slope -1. Determine x.

ankoles [38]

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

5 0

2 years ago

Read 2 more answers

Write an expression for “5 more pounds than joe”

LenKa [72]

Answer:

x+5

Step-by-step explanation:

Since you don't know how much Joe weighs, you can express his weight as x. Then, you add on 5 because you have 5 more lbs than joe (which is x).

3 0

3 years ago