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pantera1 [17]
3 years ago
15

The intersections of 12th St., Constitutional Ave., and Pennsylvania Ave. in Washington, D.C. form a triangle. The Old Post Offi

ce is wedged in the 12th St. − Pennsylvania Ave. angle of this triangle. If the 12th St. − Constitutional Ave. angle measures 90°, and the Constitutional Ave. − Pennsylvania Ave. angle measures 30°, what is the measure of the angle the Old Post Office is wedged in?
Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

60°

It's a 30-60-90 triangle

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i
Gwar [14]

Answer:

The solutions for the given system of equations are:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

Step-by-step explanation:

Given the equation system:

\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.

We obtain the following matrix:

\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]

<u>Step 1:</u> Multiply the fisrt row by 1/3.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]

<u>Step 2:</u> Sum the first row and the second row.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]

<u>Step 3:</u> Multiply the second row by 3/4.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]

The result of the reduced matrix is:

\left \{ {{x=-5} \atop {y+4z=12}} \right.

This is equal to:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0
3 years ago
Two more than four times a number is the same as 6 more than twice the number find the number ​
Yuki888 [10]

Answer:

The number is 2. :)

Step-by-step explanation:

4x + 2 = 2x + 6

    -2            -2

4x = 2x + 4

-2x   -2x

2x = 4

/2    /2

x = 2  

7 0
3 years ago
I need help finding the area of a figure, it has 15ft of heigh on the left side, 20ft wide, and it's 20ft tall on the right side
spin [16.1K]

Answer:

Step-by-step explanation:

area=(20 ×20)÷2=200 sq . units

7 0
3 years ago
Plsss help I’ll give u brainlest and 10 points
AysviL [449]
The answer is (●’◡’●)ノ BBBB !!!
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3 years ago
The equation t= 13p + 108 can be used to estimate the cooking time t in
Setler [38]

Answer:

Step-by-step explanation:

(285)=13p+108

177=13p

p= 13.62 lbs

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3 years ago
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