Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
Cancel out the denominators.
(x+5)² + 18 = -30
(x+5)² = -30 - 18
(x+5)² = -48
The equation is impossible, we have a negative number.
There isn't a number that squared gives a negative number (the square is always positive).
√(x+5)² = +/- √-48
x+5 = +/- √-48
IMPOSSIBLE
You can write the result in imaginary numbers
x+5=+/- 4i√3
Answer:
34.65
Step-by-step explanation:
Answer:
x = 7; y = 77
Step-by-step explanation:
y = 9x + 14
y = 4x + 49
Since both equations are solved for y, set the two right sides equal and solve for x.
9x + 14 = 4x + 49
5x = 35
x = 7
Sow substitute 7 for x in the first equation and solve for y.
y = 9x + 14
y = 9(7) + 14
y = 63 + 14
y = 77
Answer: x = 7; y = 77
Answer:
-3
Step-by-step explanation:
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