Answer:
96º
Step-by-step explanation:
The sum of a triangle's angles is 180. We can find t by subtracting 58 and 38 from 180. 180-58-38=84. x and t and supplementary angles, so x is 180-t which is 180-84=96º.
Answer:
a = -13
Step-by-step explanation:
33= -2a + 7
<em>Isolate the unknown variable -2a. </em>
2a = 7 - 33
<em>Evaluate. </em>
2a = -26
<em>Find a. </em>
a = -26 ÷ 2
a = -13
The equation which relates the mass and length according to the task content is; l = (3/10)m.
<h3>What is the equation of proportionality?</h3>
From the task content, it follows that the proportional relationship is direct. Hence, the constant of proportionality k can be evaluated as follows;
l = k × m
Hence, k = l/m = 9/30 = 3/10.
Therefore, the proportional relationship is given by the equation; l = (3/10)m
Read more on direct variation;
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Answer:
B.The matrix is invertible because the determinant is defined.
Step-by-step explanation:
<u>Definition:</u> A matrix is invertible if the determinant is not equal to zero.
Given the matrix:
The determinant of the matrix:
Since the determinant, , the matrix is invertible because the determinant is defined.
Answer:
48
Step-by-step explanation:
2 = 2 line 1
2 + 4 = 6 line 2
2 + 4 + 6 = 12 line 3
The next line we would add 12 since we are adding the sum of the previous line
2 + 4 + 6 +12 = 24 line 4
The next line we would add 24 since we are adding the sum of the previous line
2 + 4 + 6 +12+24 = 48 line 5