Answer:
x = 5 and z = 108
Step-by-step explanation:
We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.
Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:
z + (6x + 42) = 180
We already know that z = 108, so plug that in and solve for x:
108 + (6x + 42) = 180
6x + 150 = 180
6x = 30
x = 5
Thus, x = 5 and z = 108.
Hello Syndy393, Which expression is equivalent to 18a+12b+9a+24b,
<span>27a+36b, Because 18a+9a=27a 12b+24b=36b,so the correct answer is 27a+36b.</span>
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Answer:
$19.55
Step-by-step explanation:
17*0.15=2.55
17+2.55=19.55
-- To change a percent into a decimal, move
the decimal point two places this way <== .
33.3% = 0.333 .
-- To change a percent into a fraction, remember
that the symbol ' % ' means ' /100 ' .
33.3 % = 33.3/100 .
That fraction looks ugly, because it has a decimal in the numerator.
That's easy to fix. Multiply top and bottom by 10, and you have
333/1000 .