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Dvinal [7]
4 years ago
11

WHICH SEGMENTS ARE PARALLEL PLSSS HELP (IMAGE INCLUDED) :( ‼️‼️‼️‼️)

Mathematics
1 answer:
umka21 [38]4 years ago
4 0
They are all parallel to each other
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Please help me!! No files allowed. I need the answer and an explanation!
weqwewe [10]

Answer:

81/293

Step-by-step explanation:

and that is the simplest form because 293 is a prime number

3 0
3 years ago
A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form
LiRa [457]

Answer: y =  ½x - 2

Step-by-step explanation:

<u>Slope-intercept form: y = mx + b</u>

  • m = slope = \frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}
  • b = y-intercept ⇒ Substitute in a given point to the function to find b

y =  ½x + b

2 =  ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

<u>y =  ½x - 2</u>

3 0
3 years ago
about 0.4 of a biology class will be going on a field trip . write the decimal as a fraction in simplest form .
Ilia_Sergeevich [38]
0.4 is \frac{4}{10} and that simplified is \frac{2}{5} because you take the GCF or Greatest Common Factor, which is two, and divide both parts of the fraction taking \frac{4}{10} and turning it into \frac{2}{5}
3 0
4 years ago
A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co
Zepler [3.9K]

Answer:

C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume =x^2h

x^2h=171,500\\h=\dfrac{171500}{x^2}

The material for the top and bottom of the box costs ​$10.00 per square​ centimeter.

Surface Area of the Top and Bottom =2x^2

Therefore, Cost  of the Top and Bottom =\$10X2x^2=20x^2

The material for the sides costs ​$2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}

Therefore, total Cost of the box

= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35

Recall that:

h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400

8 0
3 years ago
In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
HACTEHA [7]

Answer:

34 °

Step-by-step explanation:

∠D = 71°

∠G = 37°

In ΔGEF

Using angle sum property of triangle : Sum of all angles of triangle is 180°

∠G+∠E+∠F = 180°

Since ΔGEF is right angled triangle at F so, ∠F = 90°

Now, 37°+∠E+90° = 180°

127°+∠E= 180°

∠E= 180°-127° =53°

Now ∠E+∠D = 53°+71°  = 124°

Now using exterior angle property in ΔABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles

∠E+∠D is the exterior angle of  ΔABC

So, ∠A+∠B = ∠E+∠D

since  ΔABC is right angled triangle at B so, ∠B = 90°

∠A+90° = 124°

∠A = 124°-90°

∠A = 34°

Hence the measurement of angle A is 34 °

3 0
3 years ago
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