calcula el área lateral de un prisma cuya base es un pentagono de 10cm de arista, 16.88 cm de apotema y 15 cm de altura

Given:

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]

[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]

[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

Answer:

31°

Step-by-step explanation:

The theorem states that all angle sums of any triangle add up to 180°.

128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.

Answer:

I think the answer is 762.5 if not correct pardon plz

The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.

The functions are given as:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = (\frac 12)^x[/tex]

Reflect function over the y-axis.

The rule of this transformation is:

[tex](x,y)\to (-x,y)[/tex]

So, we have:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^{-x}[/tex]

Apply power rule of indices

[tex]f'(x) = (\frac{1}{2})^x[/tex]

By comparison:

[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]

Hence, the functions f(x) and g(x) are reflections over the y-axis.

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

Correct answer #1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because y-intercept is when x=0, so right on the y axis.

Answer:

The work done is - 200 μJ.

Step-by-step explanation:

The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:

Potential difference, V = 100 V

Charge, q = - 2 μC

The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.

So, W = q V

W = - 2 μC x 100 V = - 200 μJ

Answer:

y= 3x -5

Step-by-step explanation:

The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).

Given that the slope is 3, m= 3. Substitute m= 3 into the equation.

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 1, y= -2,

-2= 3(1) +c

-2= 3 +c

c= -2 -3

c= -5

Thus the equation if the line is y= 3x -5.

Answer:

graph D

Step-by-step explanation:

because d it at 0 then moves

Answer:

a

Step-by-step explanation:

Answer:

$13 per hour

Step-by-step explanation:

This is because 26÷2=13, 65÷5=13

Answer:

[tex]{\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}[/tex]

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]

Find the derivative of the function to find out the critical points

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

Answer:

4 pairs of shoes.

Step-by-step explanation:

Answer:

D=22-90+22d/7

Step-by-step explanation:

D=22/7×d-90

D=-90+22d/7

Answer:

Step-by-step explanation:

The first line has slope of a/b and the second one has slope of m/n.

As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.

Since the slopes are different the lines are not parallel, hence they intersect at one point.

This means there is one solution only.

ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

Answer:

x = 40°

Step-by-step explanation:

a + 65 + 75 = 180  {Angle sum property}

a + 140 = 180

     a = 180 - 140

    a = 40

x = a  {Vertically opposite angles}

x = 40°

Answer:

1228 is your answer

Step-by-step explanation:

Answer:

[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]

Step-by-step explanation:

To arrange in ascending order, first make the denominators of all the fractions the same.

LCM of 2, 3, 4 and 12 is 12.

Now,

[tex] \frac{1}{3} = \frac{4}{12} [/tex]

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

[tex] \frac{1}{4} = \frac{3}{12} [/tex]

[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]

[tex] \frac{1}{2} = \frac{6}{12} [/tex]

Arranging these in ascending order:

[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]

Answer:

A. 24.2°

Step-by-step explanation:

I'm correct if I'm rwong

Answer:

x is 66 degrees

Step-by-step explanation:

since its a isosceles, two of the angles should be the same.

Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

Answer:

[tex](x+12)(x+18)[/tex]

Step-by-step explanation:

[tex] {x}^{2} +30x+216[/tex]

[tex](x+12)(x+18)[/tex]

x²+30x+216

on factorizing we get

(x+12)(x+18)

Therefore, x= -12 or -18

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.

Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.

Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.

Answer:

D.supplementary angles

Step-by-step explanation:

81+99=180

Answer:

65.76 m

Step-by-step explanation:

This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.

Starting with the triangle:

1/2(b*h)=a

We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:

1/2*15=a or 15/2=a

a=7.5

Then we calculate the area of the rectangle:

l*w=a

5*6=a

30=a

Then the area of the semi circle:

First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):

3.14*r^2=a

3.14*3^2=a

3.14*9=a

28.26=a

Finally, we add all three areas from above:

7.5+30 + 28.26 = 65.76

Answer:

y - 2 = 36(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 36 and (a, b ) = (4, 2 ) , then

y - 2 = 36(x - 4) ← equation of line