Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.

Answer:

Step-by-step explanation:

Segments AB and BC intersect each other at 90° at B.

Let the equation of the segment AB → y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line AB passing through A(14, -1) and B(2, 1)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{1+1}{2-14}[/tex]

          = [tex]-\frac{2}{12}[/tex]

          = [tex]-\frac{1}{6}[/tex]

Equation of the line will be,

[tex]y=-\frac{1}{6}(x)+b[/tex]

Since, AB passes through (2, 1)

[tex]1=-\frac{1}{6}(2)+b[/tex]

[tex]b=1+\frac{1}{3}[/tex]

[tex]b=\frac{4}{3}[/tex]

Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]

Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]

Since, line BC is perpendicular to AB,

By the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.

By this property,

[tex]-\frac{1}{6}\times m_2=-1[/tex]

[tex]m_2=6[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is,

(y - k) = m(x - h)

Therefore, equation of line BC passing through B(2, 1) and slope = 6,

y - 1 = 6(x - 2)

y = 6x - 11

Since, line BC passes through C(x, 13),

13 = 6x - 11

6x = 24

x = 4

Therefore, x-coordinate of point C will be, x = 4

Answer:

15.0

Step-by-step explanation:

we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan

tan25=7/x

since x is at the bottom then switch

x= 7/tan25

x= 15. 012

Answer:

x = 15.01

Step-by-step explanation:

Given degrees 25

Since x is between the right angle and 25, x is adjacent

7 being the other shortest side would be the opposite

Given adjacent and opposite, you can use tangent

Tangent = opposite/adjacent

Tan(25) = 7/x

0.4663076582 = 7/x

x = 7/0.4663076582 (use calculator)

Solution: x = 15.0115484421

Answer:

18.7

Step-by-step explanation:

Use the Pythagorean Theorem.

Simplify.

Simplify.

Square root both sides

Simplify. Ignore negative root, as length must be positive.

Round to the nearest tenth.

Answer:18.7

Step-by-step explanation:

Answer:

if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8

Step-by-step explanation:

just add them together

Answer:

what are you trying to do or say

Answer:

[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Perpendicular height of the base of cylinder h = 5 units

Slant height I = 6 units

Radius of the cylinder r = 4 units

Volume of the lateral cylinder is

[tex]V = \pi r^{2} h[/tex]-----------(1)

Where r is radius of the cylinder

And h is perpendicular height of the base of cylinder.

Now, we substitute r and h value in equation 1.

[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]

[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]

[tex]V=\pi[/tex] × [tex]80[/tex]

[tex]V=80\pi[/tex] [tex]units^{2}[/tex]

Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

                                    ^ ( note that we just created an equation that we can      

                                        use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540  

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

Answer:

Let  x  represent one of the equal length sides making the third side which is  3  inches shorter than each of the other two equal to:

Third piece  =  x − 3 . Knowing that the whole board is  10  feet, in inches it is:

10  feet  ×  12  inches / 1  foot  =  120  inches

To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:

x  +  x  +  x  −  3  =  120  + 3

3 x /3  =  123 /3

x  =  41  inches

Third piece  =  x  −  3  =  

41  −  3  

=  38  inches

Step-by-step explanation:

Answer:

1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.

Answer:

x = 3

Step-by-step explanation:

6(x+1) = 24

x+1 = 4

x = 3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 3

Step-by-step explanation:

Math solution to equation

6(x + 1) = 24

Divide both sides by 6

x + 1 = 4

Subtract 1 from both sides

x = 3

Answer:

x = {-4, -1/2}

Step-by-step explanation:

2x² + 9x + 4 = 0

Factor

(2x + 1)(x + 4) = 0

2x + 1 = 0

x = -1/2

x + 4 = 0

x = -4

x = {-4, -1/2}

Answer:

Step-by-step explanation:

sin^1(17/19)

x= 63.475 round it how u want

I think that the answer is A.

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

corresponding angle because 1 is correspondence to 45 degree

3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.

Answer:

[tex]Total = 38^7[/tex]

Step-by-step explanation:

Given

[tex]Plate\ Number = 7\ characters[/tex]

[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]

[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]

[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]

[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]

Required

Number of possible characters

Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.

The total possible characters (n) is:

[tex]n = 26 +10 + 1 + 1[/tex]

[tex]n = 38[/tex]

Any of the 38 characters can occupy any of the 7 spaces.

Hence, the total number of character is:

[tex]Total = n^7[/tex]

[tex]Total = 38^7[/tex]

Answer:

6785.84

Step-by-step explanation:

Answer:

0.164

Step-by-step explanation:

delta math said so but

n=7 ; r=5; p=1/2

q= 1- 1/2 = 1/2

7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164

Answer:

Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.

Step-by-step explanation:

hahahaha i had this same question in my grade

Answer:

it is 93.5

Step-by-step explanation:

ok im on

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Answer:

B would be your Answer

Step-by-step explanation:

There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).

Hope this helped :)

Answer:

their is 50 ways.......

The possible combination, 252 ways you can pack shirts for a trip.

Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.

Formula for combination is

n!/(r! x (n-r)!),

where n is a number of shirts and r is the shirts selected.

In combination,

order doesn’t matter, as opposed to permutation.

According to the question,

n = 10 and r = 5

Then substituting the above values to the formula,

that means,

10! / ( 5! x 5!)

= 10x9x8x7x6 / ( 5x4x3x2x1)

= 252

Therefore, You can pack 5 shirts in 252 ways.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:

180 i think

Step-by-step explanation: