How many sides does a regular polygon have if each interior angle measures 178°?

Answer:

∠ DBC = 60°

Step-by-step explanation:

BD is an angle bisector , so

∠ DBC = ∠ ABD = 60°

angel ABD =60°

BD line is bisector

angel DBC=60° because both the angel are similar

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

(-4/9)*3×(-27/20)*4= 7.2

Step-by-step explanation:

here's the answer to your question

Answer:

3rd option (top right)

Step-by-step explanation:

3rd option represents a linear equation

y = -2x-1

Answered by GAUTHMATH

Answer:

the 4th option

Step-by-step explanation:

8 = 2³

so, when we convert

[tex] {8}^{x - 3} [/tex]

into a "2 to the power of" expression, we get therefore

[tex] ({2}^{3}) ^{x - 3} [/tex]

and when we have an exponent of an exponent, we can simplify by multiplying these two exponents.

3×(x-3) = 3x - 9

and therefore we get

[tex] {2}^{3x - 9} [/tex]

and by the way, we can now even easily solve this for x, as we know

[tex] {2}^{4x} = {2}^{3x + x} [/tex]

after all, because 4x = x + x + x + x = 3x + x = ...

and because we got also

[tex] {2}^{4x} = {2}^{3x - 9} [/tex]

we know that 3x + x = 3x - 9

and that gives us x = -9

Answer:

24 km/h

Step-by-step explanation:

Given:

Constant speed of submarine = 24 km/h

Depth under sea = 5 km

Distance of submarine from lighthouse = 13 km

Find:

Speed of the submarine

Computation:

At steady speed, the distance between both the submarine and the lighthouse base decreases at a rate of 24 km/hr.

So, when it is 13 kilometres from its starting point, the speed remains constant at 24 kilometres per hour.

Answer:

0.6

0.308

0.26

0.193

Step-by-step explanation:

0.6

0.308

0.26

0.193

Answer:

y = 2/5x + 1/5

Step-by-step explanation:

y = 2/5x + b

-1 = 2/5(-3) + b

-1 = -6/5 + b

1/5 = b

Answer:

Step-by-step explanation:

dude what class?

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

The required simplified value of c is zero for which the angle between a and b is 45°.

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Here,
scaler product is given as,
a . b = |a|.|b|cos45
(i + cj). (i + j) = √[1² + c²] . √[1²+1²] × 1/√2
1 + c = √1 + c²

Squaring both sides
(1 + c)² = 1 + c²
1 + c² + 2c =1 + c²
2c = 0
c = 0

Thus, the required simplified value of c is zero for which the angle between a and b is 45°.

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Answer:189 cm

Step-by-step explanation:

the area of a perimeter is 2L+2w while l is length and w is width

in this case, 121/2 is the length and 102/3 is the width.

using the formula it should be

121/2 x 2 +102/3 x

= 121 + 68

=189 cm

i hope this helps.

Two identical lines have, A. Infinitely many solutions.

If a system of equations only contains two linear equations with two variables,

The system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given are two identical lines,

Now we know the solution of two lines is where they intersect.

We also know that a line is made up of infinite points, So if two lines are identical every point of one line lies with every other point of the other line.

Therefore they have an infinite number of solutions.

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Answer: Perpendicular

Explanation

the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0

Therefore it means that it is a horizontal line

Must click thanks and mark brainliest

Step-by-step explanation:

We want to find how many miles per minute Joe runs. This means, we need to simplify the equation:

[tex]\frac{12 mi}{84 min}[/tex]

so that the number on the bottom is 1. How do we do that?

Simple.

Just divide 12 / 84

Answer:

Joe runs approx. 0.143 miles per minute.

Answer:

4

Step-by-step explanation:

First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.

In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so

(6+y)/y = x/2

Since x is clearly made up of 3 and 2, we can say 3+2=x=5

(6+y)/y = 5/2

multiply both sides by y to remove a denominator

6+y = 5*y/2

multiply both sides by 2 to remove the other denominator

12+2y = 5*y

subtract both sides by 2y to isolate the y and its coefficient

12 = 3y

divide both sides by 3 to isolate the y

y=4

Answer:

−3x + y = −7       y - 9 = 5 (x - 1)

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-1) / 4 - 2

6/2

= 3

slope intercept: −3x + y = −7

y - 9 = 5 (x - 1)

The required probability of a couple having a baby boy when their third child is​ born is 1/2.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

Assuming boys and girls are equally​ likely.

The first two children were both boys

According to given question we have

The probability of having a baby girl is an independent probability.

The first two children were both boys

So, it is not related to the previous child.

So required probability = 1/2

Therefore, the required probability of a couple having a baby boy when their third child is​ born is 1/2.

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let number of green balls= x

let number of orange balls=x+4

x+x+4=38

2x=38-4

2x=34

x=17

number of green balls=17

number of orange balls=21

Step-by-step explanation:

In right angled triangle ABC,

Taking alpha as reference angle,

By pythagoras theorem,

p=BC,h=AB,b=AC

Taking thita as reference angle,

p=AC,h=AB,b=BC

Keep smiling and hope u are satisfied with my answer.Have a good day :)

Answer:

C. infinitely many

Step-by-step explanation:

If two equations in slope-intercept form have the same slope and y-intercept they must be the same line. Additionally, the solutions of a system of equations are wherever the two lines intersect. Since the lines are the same they must intersect at every point. Therefore, there are infinitely many solutions.

Answer:

27 inch

Step-by-step explanation:

Current perimeter=18

New perimeter=18*1.5=27 in

Answer:

8 sqrt(5)

Step-by-step explanation:

sqrt(45) + sqrt(125)

Rewriting

sqrt(9*5) + sqrt( 25 *5)

we know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5) + sqrt(25) sqrt(5)

3 sqrt(5)+5 sqrt(5)

Add like terms

8 sqrt(5)

Answer:

A.    [tex] 8\sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{45} + \sqrt{125} = [/tex]

[tex] = \sqrt{9 \times 5} + \sqrt{25 \times 5} [/tex]

[tex] = 3\sqrt{5} + 5\sqrt{5} [/tex]

[tex] = 8\sqrt{5} [/tex]

Answer:

y = 2/3x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2/3x +b

Using the point (-6,-5)

-5 = 2/3(-6)+b

-5 = -4 +b

Add 4 to each side

-5+4 = b

-1 =b

y = 2/3x-1

Answer:

[tex] y = \frac{2}{3}x - 1 [/tex]

Step-by-step explanation:

[tex]y = mx + c \\ \\ m = slope \\ c = y \: \: intercrept[/tex]

[tex]m = \frac{2}{3} [/tex]

[tex]y = mx + c \\ - 5 = \frac{2}{3} \times - 6 + c \\ - 5 = \frac{ - 12}{3} + c \\ - 5 = - 4 + c \\ - 5 + 4 = c \\ - 1 = c[/tex]

So, the equation of the line is,

[tex]y = mx + c \\ y = \frac{2}{3}x - 1 [/tex]

The triangle given is a scalene acute triangle

A triangle can be classified based on the measures of its angles and the lengths of its sides.

In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.

The triangle is not an equilateral triangle because all the sides are not of equal length.

The triangle also doesn't have one right angle so it can't be right triangle.

Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.

So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.

As the triangle has no sides of equal length, it is also a Scalene triangle.

Therefore, the triangle would be classified as a Scalene acute triangle (c).

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Answer:

The diameter is 6. The radius is 3. For the half of the orange circle.

The area of the half of the small orange circle is = pi*r*r = pi*3*3.

The diameter is 24. The radius is 12.

The area of the half of the light orange circle and the other colors is = pi*r*r = pi*12*12

The area of dark orange, light blue, purple and green figures = pi*12*12 – pi*3*3 = 135*pi

To get the area of the blue figure we need to divide 135*pi into ¼ and you will get the area of the blue figure.

The area of the blue figure =( ¼ )*135*pi *(1/2) = ¼ *1/2 = 1/8

The area of the blue figure is = 135pi / 8

B) outside perimeter of the window frame = 28 +pi*14 = 71.98

Hope this helps you :)

The recursive function is A(t + 1) = A(t) - 75

Where;

A(t) = 1,200 - 75×t

The known parameter are;

The amount Rebecca buys the new couch = $1,200

The amount she plans to make as monthly payment = $75

The time she plans to start paying = The month after she buys the couch

Strategy;

Define a recursive function that models the amount of money Rebecca still has to pay

Definition

A recursive function is one which has its own process as an input in the process of its implementation

A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;

The amount left for her to pay in the present month = The amount left to pay in the previous month - $75

Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;

A(t) = 1,200 - 75×t

A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75

The recursive function is A(t + 1) = A(t) - 75

The function is recursive because, the function, A(t), is called in as an input to the execution of the function

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Answer:

f(1) = 1,200

f(n) = f(n-1) -75 for n > 2

Step-by-step explanation:

Since the initial loan amount is $1,200, f(1) =1200.

And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is  -75 .

Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:

Answer:

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