x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
Answer:
The correct options are:
A, B, and E.
Step-by-step explanation:
A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.
This is the only criteria we need to check, now let's analyze each option.
A: 4 - d = 12
This can be true or false, for example, if d = 0 the sentence is false because:
4 - 0 = 12
4 = 12 is false.
and if d = -8 the sentence is true, because:
4 - (-8) = 12
4 + 8 = 12
12 = 12
is true.
B: 4 - V > 2
This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.
C: 3 + 2
Now, here we can't say if this is true or false, so this is not a mathematical sentence.
D: 59
Same as before, this is just a number.
E: 6 + a = 13
This can be true or false, depending on the value of a, then this is a mathematical sentence.
F: 12*x
Here we can not say if this is true or false, so this is not a mathematical sentence.
The correct options are:
A, B, and E.
Answer:
{-1, -8}
Step-by-step explanation:
Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".
Squaring both sides of the given equation, we get:
1 - 3x = x^2 + 6x + 9, or x^2 + 6x + 8 + 3x, or
x^2 + 9x + 8 = 0. Factoring, we get: (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.
Answer:
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Step-by-step explanation:
Answer: Can you make the question a bit clear?
