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natulia [17]
2 years ago
5

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics
1 answer:
steposvetlana [31]2 years ago
4 0

x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)

30 = 2x - x

30 = x

hope it helps...!!!

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Solve the matrix equation by using inverse matrices.
STALIN [3.7K]

Answer:

x=-7, y=2

Step-by-step explanation:

You are given the matrix equation

\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right] \cdot \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-18\\13\end{array}\right]

Find the inverse matrix for the matrix

\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]

1. The determinant is

\left|\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]\right|=2\cdot 3-(-1)\cdot (-2)=6-2=4

2.

a_{11}=2 \Rightarrow A_{11}=3\\ \\a_{12}=-2 \Rightarrow A_{12}=-(-1)=1\\ \\a_{21}=-1 \Rightarrow A_{21}=-(-2)=2\\ \\a_{22}=3 \Rightarrow A_{22}=2

3. Inverse matrix is

\dfrac{1}{4}\left[\begin{array}{cc}3&1\\2&2\end{array}\right]^T=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]

So, the solution of the equation is

\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]\cdot \left[\begin{array}{c}-18\\13\end{array}\right]=\\ \\=\dfrac{1}{4}\left[\begin{array}{cc}3\cdot(-18)+2\cdot 13\\1\cdot (-18)+2\cdot 13\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{c}-28\\8\end{array}\right]=\left[\begin{array}{c}-7\\2\end{array}\right]

8 0
3 years ago
tynya is training a turtle for a turtle race for every 2/3 of an hour that the turtle is crawling he can travel 2/23 of a mile a
Len [333]

Answer:

3/23 miles per hour

Step-by-step explanation:

2 /23 mile

-----------------

2/3 hour

2/ 23 ÷ 2/3

Copy dot flip

2 /23 * 3/2

Rewriting

2/2 * 3/23

3/23 miles per hour

7 0
3 years ago
Read 2 more answers
Determine whether y=2×-1 is a linear equation. If so, write the equation in standard form.
KengaRu [80]

Answer:

Its is a linear y= -2

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  

0  or  1  for each of its variables. In this case, the degree of variable  y  is  1 .

4 0
3 years ago
Read 2 more answers
fredy the frog was 18 feet down below ground in a well and is trying to climb out the first day he climbed up 7 feet but slid ba
lisov135 [29]

Writing this situation out in terms of operating with integers and indicating Fredy's position at the moment is as follows:

Fredy's position in the well = <u>13 feet in depth</u> or 5 feet from the bottom.

<h3>What is an integer?</h3>

An integer is a whole number, both positive and negative.

<h3>Data and Calculations:</h3>

Depth of well = 18 feet

Height climbed the first day = 7 feet

Height climbed the second day = 4 feet

Height of climb up the well = 11 feet

Depth of slid on the first day = 2 feet

Depth of slid on the second day = 4 feet

Total slid down the well = 6 feet (2 + 4)

The position of Fredy the Frog is at 13 feet (18 - 11 + 6) depth

Thus, based on integer operations, we can conclude that Fredy the Frog has only climbed <u>5 feet</u> (18 - 13) from the well's depth.

Learn more about integers at brainly.com/question/17695139

#SPJ1

<h3>Question Completion:</h3>

Fredy the frog was 18 feet down below ground in a well and is trying to climb out. The first day he climbed up 7 feet but slid back down <u>2 feet</u> the next day he climbed 3 feet but slid back down 4 feet.

7 0
2 years ago
Please help, i’ve been in apex and i don’t know what the answer is
Marizza181 [45]

Answer:

A

Step-by-step explanation:

sinC = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{7}{17.46} ≈ 0.40 → A

3 0
3 years ago
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