Answer: 18
Step-by-step explanation:
First we need to solve for x to find the measure of the adjacent angle.
-6x+64 = 8x + 162
subtract 162 to leave x by itself
-6x- 98 = 8x
add 6x to both sides
-98 = 14x
now divide by 14
x = -7
Now solve one of the given equations to find the measure of the adjacent angle.
8(-7)+162
-56 + 162 = 106
Meaning the measure of angle 8 is 18
because they'll add up to 180(The measure of the line)
↝ x-intercept
↝ y-intercept
y = -5
↝ means that the shade/area is below the graph as shown in the first picture.
↝ x-intercept
↝ y-intercept
y = -3
↝ Since it's "≤" therefore. The shade/area is below the graph. For second picture.
First picture is first inequality
Second picture is second inequality.
Part 1: Create a scenario for an arithmetic sequence. For example,
Jasmine practices the piano for ten minutes on Monday. Every day she adds her
practice time by five minutes. If she continues this pattern, in the 7th day she will practice for 10 + 5 + 5 + 5 + 5 + 5 + 5 = 10 + 6(5) = 10 + (7 - 1)(5) = 20 + 30 = 40 minutes.
Hence the function for the 7th term in the sequence is a + (7 - 1)d = a + 6d where a is the number of minutes Jasmine practiced the piano on Monday and d is the additional number of minutes added by Jasmine to his practice time evey day.
If a polynomial has more than one variable, then the degree of that monomial is the sum of the exponents of those variables. In this polynomial, 24xyz, the degree is 3 because the sum of degrees of x, y and z is 1 + 1 + 1 = 3.
Step-by-step explanation:
9x+4=15
9x=15-4
9x=11
x=11/9 or 1 2/9
