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mrs_skeptik [129]
3 years ago
11

Angle GHI and angle JHI are supplementary. Angle GHI measures (28x + 40)° and angle JHI measures (7x)°. What is the measure of a

ngle JHI?
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0
Its 28 degrees. the equation is 28x+40+7x=180
after u figure that out you should get x=4 but its 7x so you do 7×4 which is 28
muminat3 years ago
4 0

Two angles are supplementary if their sum is 180 degrees.

Here we are given:

Angle GHI measures (28x + 40)° and angle JHI measures (7x)°.

Sum of angle GHI and JHI is 180.

angle GHI + angle JHI = 180

(28x + 40) + (7x) = 180

35x = 140

dividing both sides by 35,

x=4

Now let us find angle JHI

angle JHI = 7x = 7*4 =28

Answer : Angle JHI is 28 degrees.


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Tcecarenko [31]

Answer:

112

Step-by-step explanation:

4x28=112

5 0
2 years ago
What is the solution to the system of equations?
Natalka [10]

Answer:

x = 1    y = 3    z = 1

Step-by-step explanation:

(1)  x - 3y - z = -9           (2)   -2x + y + 2z = 3        (3)   2x + y + 3z = 8

                                2x(1)     <u>2x - 6y - 2z = -18</u>      (2)  <u>-2x + y + 2z = 3</u>

                                                 - 5y = -15                           2y + 5z = 11

                                                      y = 3                            2(3) + 5z = 11

                                                                                            6 + 5z = 11

                                                                                                  5z = 5

                                                                                                    z = 1

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            x = 1

Note:  If you write your equations across your paper, then the work can just flow down the paper.  It makes it so much easier to show the work you have done.  OK?

5 0
2 years ago
You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu
krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

x+y=250,000.

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then x\cdot 0.012=0.012x is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then y\cdot 0.062=0.062y is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

0.012x+0.062y=8,000.

3. Solve the system of equations:

\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.

Express x from first equation x=250,000-y and substitute it into the second equation

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Multiply this equation by 1000:

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Then

x=250,000-100,000=150,000.

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.


8 0
3 years ago
If &lt;3 and &lt;4 are vertical angles and m&lt;3=9x+5 and m&lt;4=5x+33 find &lt;4
KatRina [158]

Answer:

<em>68 degrees</em>

Step-by-step explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x  = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

<em>Hence the measure of <4 is 68 degrees</em>

6 0
3 years ago
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MrRa [10]
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Numerator = 3*n
Denominator = 4*p - 5*n
Equation = [m = 3n/(4p-5n)]
4 0
3 years ago
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