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3 years ago

In triangle abc,angle a=3x+1,angle b=4x-17,and angle c=5x-20.what type of triangle is angle abc

1 answer:

7 0

(3x + 1) + (4x - 17) + (5x - 20) = 180
12x - 36 = 180
12x = 216
x = 18
angle a = 55
angle b = 55
angle c = 70
This is an acute isosceles triangle.

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A clydesdale drinks about 120 gallons of water every 4 days at this rate about how many gallons of water dose clyesdale in 28 da

lutik1710 [3]

To know how many gallons of water a clydesdale drinks in 28 days you first have to divide 28 by 4 which givs you 7.

28 / 4 = 7

Then you multiply 120 by seven which gives you 840.

120* 7 = 840

Therefore a clydesdale drinks about 840 gallons pf water in 28 days.

7 0

3 years ago

Expand and simplify (3a+2)(4a+5)

statuscvo [17]

(3a+2)(4a+5)                  ......expand

12a^2+15a+8a+10         .......group like terms 15a + 8a

12a^2+23a+10               ....this s the answer!

5 0

3 years ago

Read 2 more answers

A company makes a profit of $y (in thousand dollars) when it produces x computers,

leva [86]

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

$y = a(x - 100)(x - 200)$

Item a:

If 120 computers are produced, the profit will be $3,200,000, hence when $x = 120, y = 3200000$ , and this is used to find a.

$y = a(x - 100)(x - 200)$

$3200000 = a(120 - 100)(120 - 200)$

$-1600a = 3200000$

$a = -\frac{3200000}{1600}$

$a = -2000$

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

$y = -2000(x - 100)(x - 200)$

$y = -2000(x^2 - 300x + 20000)$

$y = -2000x^2 + 600000x - 40000000$

Which has coefficients $a = -2000, b = 600000, c = -40000000$ .

Then, we have to find the vertex:

$x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150$

$\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000
$

$y_V = -\frac{\Delta}{4a} = -\frac{40000000000
}{4(-2000)} = 5000000$

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is <u>between the roots of</u>:

$y = -200x^2 + 600000x - 40000000$

$4800000 = -200x^2 + 600000x - 40000000$

$-200x^2 + 600000x - 44800000 = 0$

The coefficients are $a = -200, b = 600000, c = -44800000$ .

Then:

$\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000$

$x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160$

$x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140$

Between 140 and 160 computers need to be produced.

A similar problem is given at brainly.com/question/24705734

8 0

3 years ago

Please help me with this as soon as you can. I have no idea how to do it so please help me.

disa [49]

Answer:

x=10

Step-by-step explanation:

The lines the angles are on are 180 degrees so

(11x+23) + (7x-23)= 180

Let's rearrange them first

11x+7x + 23-23=180

Combine the like terms

18x + 0=180

Remove the 0

18x=180

Then divide 18 on each side

x=10

8 0

3 years ago

For ΔABC, ∠A = x - 2, ∠B = x + 2, and ∠C = 2x - 20. If ΔABC undergoes a dilation by a scale factor of 2 to create ΔA'B'C' with ∠

lara31 [8.8K]

Answer:

The triangle ABC and A'B'C' are similar to each other by AA criterion.

Step-by-step explanation:

The dilation is the enlargement and compression of the a figure. The angles remains same but the sides changes according to the scale factor.

Therefore, the preimage and image are always similar.

According to the angle sum property the sum of all interiors angles of a triangle is always 180 degree.

$\angle A+\angle B+\angle C=180^{\circ}$

$(x-2)+(x+2)+(2x-20)=180$

$4x-20=180$

$4x=200$

$x=50$

Since the value of x is 50, therefore the measure of angles A,B and C are 48, 52 and 80.

Apply angle sum property is A'B'C'.

$\angle A'+\angle B'+\angle C'=180^{\circ}$

$(98-x)+(\frac{x}{2}+27)+(x+30)=180$

$\frac{x}{2}+155=180$

$\frac{x}{2}=25$

$x=50$

Since the value of x is 50, therefore the measure of angles A',B' and C' are 48, 52 and 80.

$\angel A=\angle A'$

$\angel B=\angle B'$

By AA criterion we can say that ΔABC∼ΔA'B'C.

7 0

4 years ago

Read 2 more answers