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3 years ago

Adjacent --------------------- Vertical

Mathematics

1 answer:

Dafna1 [17]3 years ago

3 0

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

DBC and ABC - Adjacent

ABC and DBE - Vertical

CBD and EBA - Vertical

EBA and ABC - Adjacent

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Does −5(z+1)=−2z+10 have one solution, no solution, or infinite solutions

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The answer is 1 soulution i think

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The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor

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Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

$\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

Making $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ the subject of the formula we have:

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}$

Let’s say matrix A = $\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ , the inverse of matrix A = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ is determined by the formula $\frac{Adjoint(A)}{determinant(A)}$ . This can also be computed directly on a scientific calculator.

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

= $\left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]$

T = 46,500

C = 34,000

M = 15,500

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The interior angles of a triangle need to be equal to 180°, so to solve this you need to figure out how many degrees you need to get 180°.

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The measure of the third angle is B. 73°.

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Answer: The $\frac{1}{12}$ part of fence is painted.

Explanation:

It is given that we have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence.

Since the fence divided in 4 equal parts, therefore the value of one section in fraction is $\frac{1}{4}$ .

After that we paint $\frac{1}{3}$ of the one section.

Since one section is equal to $\frac{1}{4}$ , therefore $\frac{1}{3}$ of the one section $\frac{1}{4}$ is,

$\frac{1}{4} \times \frac{1}{3}=\frac{1}{12}$

Therefore, the $\frac{1}{12}$ part of fence is painted.

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<h3>Answer:</h3>

c. 27 40.5

<h3>Step-by-step explanation:</h3>

Step 1 is "read and understand the problem." Step 2 is "read the answer choices."

To choose the correct answer here, you only need to know that exponential growth functions are non-decreasing. The next y-values cannot be smaller than the values already shown.

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If you insist on doing some calculation, ...

Comparing adjacent values, you see that the common ratio is 3/2.

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