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Komok [63]
3 years ago
11

What is ​ BC ​ ? Enter your answer in the box. units

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

BC = 25

Step-by-step explanation:

AB = AC since it is an isosceles triangle

4x+1 = 2x+23

subtract 2x from each side

4x-2x+1 = 2x-2x+23

2x +1 = 23

subtract 1 from each side

2x+1 -1 = 23-1

2x = 22

divide by 2

2x/2 =22/2

x =11

BC = 3x-8

BC = 3(11) -8

BC =33-8

BC = 25


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A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.
Sindrei [870]

Answer:

<h2>2400GH Cedis </h2>

Step-by-step explanation:

Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)}  \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis

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3 years ago
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7 0
2 years ago
The expression on the left side of an equation is shown below. If the equation has an infinite number of solutions, which expres
chubhunter [2.5K]

The answer is D. -2x+5.

If we simplify the left side of the equation first given, we come to the expression -2x-10.

If we solve for D., we get the same results. Thus, because an equation with all the same variable terms and constants have infinite solutions, the answer is D.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver
umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) x^{2} + y^{2} + 4\cdot x - 6\cdot y  - 36 = 0 Given

(ii) x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0 Commutative Property

(iii) (x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0 Modulative/Associative Property/Additive Inverse Existence

(iv) (x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0  Perfect Trinomial Square

(v) (x+2)^{2} +(y-3)^{2} = 4 + 9 + 36 Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) (x+2)^{2} + (y-3)^{2} = 49 Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

(x-h)^{2}+ (y-k)^{2} = r^{2}

Where r is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0
3 years ago
Read 2 more answers
Factor and solves the polynomial <br> x(to the 2nd power) + 5x + 4 = 0<br> x= (blank) and x= (blank)
zubka84 [21]

Answer:

x = -4~ \text{and}~ x = -1

Step-by-step explanation:

~~~~~~~x^2 +5x +4  =0\\\\\implies x^2 +4x +x  +4 = 0\\\\\implies x(x+4) +(x+4) = 0\\\\\implies (x+4)(x+1) = 0\\\\\implies x = -4,~~ x = -1

3 0
1 year ago
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