Answer:
x=47
Step-by-step explanation:
SA= 108 m^2 aND the formula for surface area is SA=2bs+b^2
Answer:
To solve the system of equations by substitution:
<u>2x+y=-2</u>
<u>3x-y=7</u>
first solve for y:
2x+y=-2
y=-2x-2
Then plug ^^ equation for y in the other equation
3x-(-2x-2)=7
5x+2=7
5x=5
x=1
Then solve for y:
2(1)+y=-2
y=-4
Final answer is x = 1 and y = -4
Hope it helps!
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
a. OM is congruent to ON.
Step-by-step explanation:
To use the HL Theorem, you must have a congruent hypotenuse and a congruent leg. In this case, you have two congruent hypotenuses. You just need to find two congruent legs.
a. OM is congruent to ON. This says that two legs are congruent, so this is your answer.
b. LM is congruent to ML. This does not help as it is saying a segment is the same as the same segment.
c. and d. Both of these use angle measurements, which does not help with the HL Theorem.
Hope this helps!
