<h3>
Answer: angle 1 (choice A)</h3>
This is because angles 1 and 4 are vertical angles. Such angles form whenever we have an X shape like this. Vertical angles are always opposite one another and they are always the same measure. The fact that lines k and l are parallel has no relevance (so they could easily be not parallel and the two angles mentioned are still congruent).
Let's plug in the variables one by one.
6g - 2h
plug in 5 for g and 4 for h
6(5) - 2(4)
multiply
30 - 8
subtract
→ 22
20g
plug in 2 for g
20(2)
multiply
40
2(g + 1)
plug in 10 for g
2(10 + 1)
add
2(11)
multiply
→ 22
4g + 5h
plug in 1 for g and 4 for h
4(1) + 5(4)
multiply
4 + 20
add
24
Therefore, the answers that have a value of 22 are 6g - 2h and 2(g + 1)
185.4m (rounded to 1dp)
Circumference of a circle is the diameter times by pi. 59×pi=185.4
Answer:
it's (-10,1)
Step-by-step explanation:
simplify then separate equations and last solve.
The pile contains 12 nickels and 9 quarters.
Let <em>x</em> = the number of nickels and <em>y</em> = the number of quarters.
Then, we have two equations:
(1) $0.05x + $0.25y = $2.85
(2) x = y +3
Substitute the value of <em>x</em> from Equation (2) into Equation (1).
0.05(<em>y</em>+3) + 0.25<em>y</em> = 2.85
0.05<em>y</em> + 0.15 + 0.25<em>y</em> = 2.85
0.30<em>y</em> = 2.85 – 0.15 = 2.70
y = 2.70/0.30 = 9
Substitute the value of <em>y</em> in Equation (2).
x = 9 + 3 = 12
The pile contains 12 nickels and 9 quarters.
<em>Check</em>: 12×$0.05 + 9×$0.25 = $0.60 + $2.25 = $2.85.
