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Fynjy0 [20]
3 years ago
6

Help with #12! Find the measure of

Mathematics
2 answers:
Mandarinka [93]3 years ago
3 0

Answer:

239

Step-by-step explanation:

zysi [14]3 years ago
3 0

Answer:

m∠ACD = 76

Step-by-step explanation:

m∠A = (4x + 15)

m∠B = 21

m∠C = (180 -(7x + 6))

all triangle measures add up to 180

(4x + 15) + 21 + (180 -(7x + 6)) = 180

(4x + 15) + 21 + (180 -7x - 6) = 180

4x + 36 + 174 - 7x

210 - 3x = 180

-3x = -30

x = 10

7(10) + 6 = 76

Check:

180 - 76 = 104

4(10) + 15 = 55

21 + 55 + 104 = 180

You might be interested in
Fill in the missing expression
padilas [110]

Answer:

The complete table is:

[ 5a ]           +    [ a + 3 ]      +    [ 4a ]     =    [ 10a + 3 ]

  +                         +                    +                    +

[ 2b ]          +     [ 4 + a ]      +     [ -a  ]     =    [  2b + 4 ]

  +                       +                     +                    +

[ 2a ]          +    [ a + 1 ]       +   [  -3a  ]    =   [     1      ]

  =                      =                     =                     =

[ 7a + 2b ]  +   [ 3a + 8 ]    +     [   0   ]    =   [10a + 2b + 8 ]

Explanation:

You can determine the content of each box by subtraction, running the rows and the columns.

The expressions are:

[ 5a ]  +    [          ]   +    [ 4a ]     =    [ 10a + 3 ]

  +                +                +                    +

[ 2b ]  +   [ 4 + a ]   +     [      ]     =    [              ]

  +              +                   +                    +

[      ]   +   [         ]   +      [  -3a  ]  =   [     1      ]

  =               =                   =                   =

[      ]  +   [ 3a + 8 ]  +  [         ]    =   [10a + 2b + 8 ]

<u>1. First row:</u>

[ 5a ]  +    [          ]   +    [ 4a ]     =    [ 10a + 3 ]

[      ] = [10a+ 3]  - [ 4a ] - [ 5a ] = 10a - 4a - 5a + 3 = a + 3

<u>2. Second colum:</u>

[ a + 3 ] + [ 4 + a ] + [       ] =  [ 3a + 8 ]

[        ] = [ 3a + 8 ] - [ a + 3 ] - [ 4 + a ] = 3a - a  + a  + 8 - 4 - 3 = a + 1

So far, you have completed this:

[ 5a ]  +    [ a + 3 ]   +    [ 4a ]     =    [ 10a + 3 ]

  +                +                +                    +

[ 2b ]  +   [ 4 + a ]   +     [      ]     =    [              ]

  +              +                   +                    +

[      ]   +   [ a + 1 ]   +     [  -3a  ]  =   [     1      ]

  =               =                   =                   =

[      ]  +   [ 3a + 8 ]  +  [         ]    =   [10a + 2b + 8 ]

<u></u>

<u>3. Complete the row 3:</u>

<u></u>

     [      ]   +   [ a + 1 ]   +      [  -3a  ]  =   [     1      ]

    [      ]   =    [     1      ]   -   [ a + 1 ]   -    [  -3a  ]  = - a + 3a + 1 - 1 = 2a

So far, you have completed this:

[ 5a ]  +    [ a + 3 ]   +    [ 4a ]     =    [ 10a + 3 ]

  +                +                +                    +

[ 2b ]  +   [ 4 + a ]   +     [      ]     =    [              ]

  +              +                   +                    +

[   2a   ]   +   [ a + 1 ]   +     [  -3a  ]  =   [     1      ]

  =               =                   =                   =

[      ]  +   [ 3a + 8 ]  +  [         ]    =   [10a + 2b + 8 ]

<u></u>

<u>4. Complete the fourth column:</u>

[ 10a + 3 ] + [    ] + [   1   ] = [10a + 2b + 8 ]

[    ] = 10a + 2b + 8 - 10a - 3 - 1 = 2b + 4

So far, this is the results:

[ 5a ]  +    [ a + 3 ]   +    [ 4a ]     =    [ 10a + 3 ]

  +                +                +                    +

[ 2b ]  +   [ 4 + a ]   +     [      ]     =    [  2b + 4 ]

  +              +                   +                    +

[   2a   ]   +   [ a + 1 ]   +     [  -3a  ]  =   [     1      ]

  =               =                   =                   =

[      ]  +   [ 3a + 8 ]  +  [         ]    =   [10a + 2b + 8 ]

<u>5. Complete the second row:</u>

[ 2b ]  +   [ 4 + a ]   +     [      ]     =    [  2b + 4 ]

 [      ]   =   [  2b + 4 ] - [ 2b ]  -   [ 4 + a ]  = 2b - 2b + 4 - 4 - a = - a

So far:

[ 5a ]  +    [ a + 3 ]      +    [ 4a ]     =    [ 10a + 3 ]

  +                +                    +                    +

[ 2b ]  +   [ 4 + a ]      +     [ -a  ]     =    [  2b + 4 ]

  +               +                     +                    +

[   2a   ]   +   [ a + 1 ]   +   [  -3a  ]  =   [     1      ]

  =               =                    =                   =

[      ]  +   [ 3a + 8 ]  +     [         ]    =   [10a + 2b + 8 ]

<u>6. Complete the first colum:</u>

[ 5a ] + [ 2b ] + [2a ] = [   ]

[   ] = [ 7a + 2b ]

So far:

[ 5a ]           +    [ a + 3 ]      +    [ 4a ]     =    [ 10a + 3 ]

  +                         +                    +                    +

[ 2b ]           +   [ 4 + a ]      +     [ -a  ]     =    [  2b + 4 ]

  +                       +                     +                    +

[ 2a ]          +   [ a + 1 ]       +   [  -3a  ]    =   [     1      ]

  =                      =                     =                    =

[ 7a + 2b ]  +   [ 3a + 8 ]   +     [         ]    =   [10a + 2b + 8 ]

<u>7. Complete the last row:</u>

[ 7a + 2b ]  +   [ 3a + 8 ]   +     [         ]    =   [10a + 2b + 8 ]

[         ]    =   [10a + 2b + 8 ] - [ 7a + 2b ] - [ 3a + 8 ] = 0

The complete table is:

[ 5a ]           +    [ a + 3 ]      +    [ 4a ]     =    [ 10a + 3 ]

  +                         +                    +                    +

[ 2b ]           +   [ 4 + a ]      +     [ -a  ]     =    [  2b + 4 ]

  +                       +                     +                    +

[ 2a ]          +   [ a + 1 ]       +     [ -3a  ]    =   [     1      ]

  =                      =                     =                     =

[ 7a + 2b ]  +   [ 3a + 8 ]    +     [   0  ]     =   [10a + 2b + 8 ]

5 0
3 years ago
PLEASE HURRY<br> NO LINKS OR FILES OR I'LL REPORT<br> I CAN GIVE BRAINLIEST
marissa [1.9K]

Answer:

3 1/3

Step-by-step explanation:

2 + (-2/3)² ÷ 1/3

2 + 4/9 ÷ 1/3

2 + 4/9 × 3/1

2 + 12/9  =  2 + 4/3  =  2 + 1 1/3

= 3 1/3

5 0
3 years ago
#
fiasKO [112]

4. The point Z is the orthocenter of the triangle.

5. The length of GZ is of 9 units.

6. The length of OT is of 9.6 units.

<h3>What is the orthocenter of a triangle?</h3>

The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.

Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.

For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:

  • The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
  • The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.

<h3>Missing Information</h3>

The complete problem is given by the image at the end of the answer.

More can be learned about the orthocenter of a triangle at brainly.com/question/1597286

#SPJ1

8 0
1 year ago
Plz solve I’ve been stuck on how to start it and I just can’t
AleksAgata [21]

Answer:

x and y = 0

the question looks weird and almost wrong because when you subtract the equations, you are left with nothing

Step-by-step explanation:

Multiply the top equation by 3 to make the -x a -3x instead.

Then do the top equation - the bottom equation

At this point you should be left with x

7 0
3 years ago
Read 2 more answers
The perfect order is the sum of ______. A. the sum of the percentages of its individual dimensions B. the average of the percent
tino4ka555 [31]

Answer:

It's <u>option C. the product of the percentages of its individual dimensions</u>

6 0
3 years ago
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