Answer:
B
Step-by-step explanation:
y and x + 20 are corresponding angles and are congruent, then
y = x + 20 → (1)
2x - 10 and y are adjacent angles and supplementary, sum to 180°, so
2x - 10 + x + 20 = 180, that is
x + 10 = 180 ( subtract 10 from both sides )
x = 170 ( multiply both sides by 2 to clear the fraction )
5x = 340 ( divide both sides by 5 )
x = 68
Substitute x = 68 into (1)
y = (68) + 20 = 34 + 20 = 54° → B
D i hope you get it right
Answer: A. 88 turtles
To find this, multiple 110 x .80
This is easier than multiplying 110 by .20 because you don’t have to subtract.
110 x .80 = 88
<em>This is a classic algebra problem with 2 equations and 2 unknowns. Let N = #nickles and D=#dimes.
</em>
<em>
</em>
<em>Then N+D=65 the number of coins he has.
</em>
<em>
</em>
<em>Also 5N +10D=490 working the amount of money in pennies. Put equation 1 into 2
.</em>
<em>
</em>
<em>5N+10(65-N)=490
.</em>
<em>
</em>
<em>5N+650-10N=490
.</em>
<em>
</em>
<em>-5N=-160
.</em>
<em>
</em>
<em>N=32 and D=33
</em>
<em>
</em>
<em>To check 32 + 33 = 65
</em>
<em>
</em>
<em>160 + 330 = 490 (in 1c increments)</em>
Answer:
x =9
Step-by-step explanation:
-5x = -45
Divide both sides by -5:
x = 9