Answer:
14
Step-by-step explanation:
A triangle with 45 degrees on one corner and 90 degrees on another has 45 degrees on the third corner (180-side1-side2=side3). Therefore that’s an isosceles triangle, which has the same length on the two sides next to the right angle. To get the length of the third side, remember that for any right triangle, the longest side is equal to the square root of :(the first side squared)+(the second side squared). A^2+b^2=c^2 or c=sqrt(a^2+b^2). If you do the math, sqrt((7sqrt2)^2+(7sqrt2)^2)=14. That’s your third side length, x=14.
Answer:
Step-by-step explanation:
given are four statements and we have to find whether true or false.
.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.
True
2.Different sequences of row operations can lead to different echelon forms for the same matrix.
True in whatever way we do the reduced form would be equivalent matrices
3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.
False the resulting matrices would be equivalent.
4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.
True, because variables are more than equations. So parametric solutions infinite only is possible
Answer:
x = 5
Step-by-step explanation:
The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.
<h3>Application</h3>

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<em>Additional comment</em>
Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

Answer:
<em>1</em><em>8</em><em>0</em><em>-</em><em>(</em><em>6</em><em>3</em><em>+</em><em>6</em><em>3</em><em>)</em>
<em>=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>1</em><em>2</em><em>6</em>
<em>=</em><em>5</em><em>4</em>
<em>1</em><em>8</em><em>0</em><em>-</em><em>(</em><em>3</em><em>7</em><em>+</em><em>9</em><em>0</em><em>)</em>
<em>1</em><em>8</em><em>0</em><em>-</em><em>1</em><em>2</em><em>7</em>
<em>5</em><em>3</em>
<em>1</em><em>8</em><em>0</em><em>-</em><em>(</em><em>5</em><em>4</em><em>+</em><em>5</em><em>3</em><em>)</em>
<em>=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>1</em><em>0</em><em>7</em>
<em>=</em><em>7</em><em>3</em><em>°</em>