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zaharov [31]
3 years ago
15

Help!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer:

Perimeter of base: 36ft

Height: 15ft

Base area: 50ft

Surface area: 640ft

Step-by-step explanation:

Perimeter of base:

The perimeter is just the line that circles the base. It doesn't include what's inside the line. By that logic:

Perimeter = 16ft + 10ft + 10ft = 36ft

Height:

This can be directly derived from the diagram. Height = 15ft.

Base area:

The formula for the area of a triangle is  \frac{1}{2\\} x base x height.

Area of triangular base = 1/2 x 10ft x 10ft = 50ft

Surface area:

The surface area is the area of all exposed sides of the figure.

Surface area = (50 x 2) + (16 x 15) + 2(15 x 10) = 640ft

50 x 2 - The surface area for both exposed triangles.

16 x 15 - The surface area of the surface facing us.

2(15 x 10) - The surface area of the sides of the figure (They're identical).

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Jason wants to add a fence to his yard to make it the shape of a rectangle. What is the measure of angle MKJ in the portion of t
alex41 [277]

Answer:

\angle MKJ  = 34

Step-by-step explanation:

Given

\angle LKJ = 124

Required

Find \angle MKJ

From the attachment:

The measure of \angle MKJ is calculated using the following expression:

\angle MKJ  + \angle LKM = \angle LKJ

Where

\angle LKM = 90 -- right-angled.

The expression becomes

\angle MKJ  + 90 = 124

\angle MKJ  = 124 - 90

\angle MKJ  = 34

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3 years ago
Which polynomial expression represents a sum of cubes
Andre45 [30]

Answer:

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3 0
3 years ago
A conjecture and the two-column proof used to prove the conjecture are shown.
aliina [53]

Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

    Statement                                                        Reason

1. K is the midpoint of segment JL                      Given

2. segment JK ≅ segment KL                             <em>Definition of midpoint</em>

3. <em>L is the midpoint of segment KM</em>                 Given

4. <em>segment KL ≅ segment LM</em>                           Definition of midpoint

5. segment JK ≅ segment LM                           Transitive Property of

                                                                             Congruence


Explanation:


1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL,  the statement follows from the very <em>Definition of midpoint</em>.

2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that  segment JK ≅ segment LM.

5 0
4 years ago
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√x=x^2 is the equation correct
malfutka [58]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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What is the solution of |x- 5|-2=10?
Lelu [443]

Answer:

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

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    Multiply

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    Rearrange and Add up

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    Multiply both sides by (-1)

     x = -7  

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Step  4  :

Solve the Positive Case

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Step  5  :

Wrap up the solution

x=-7

x=17

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3 years ago
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