The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.
<h3>What are supplementary angles?</h3>
Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.
Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.
The straight line formed a 180° angle. The resulting equation is as follows:
⇒x+42°+29°=180°
⇒x=109°
Hence, the value of the x will be 109°
The complete question is:
AB is a straight line.
Work out the size of angle x.
Not drawn accurately
42°
Х
29°
А
B
To learn more about supplementary angles, refer to:
brainly.com/question/12919120
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Answer:
2
Step-by-step explanation:
4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2. Please use
" ^ " to indicate exponentiation.
Rewrite 4x = 32 - x^2 in the standard form of a quadratic: x^2 + 4x - 32
Then the coefficients are a = 1, b = 4 and c = -32.
Find the discriminant. It is b^2-4ac.
Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.
Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.
So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."
Answer:
- max: 28.5 inches
- min: 27.5 inches
Step-by-step explanation:
If the actual dimension were different from 28 inches by more than 1/2 inch, it would be reported as a different dimension. So, the minimum that will be reported as 28 is 27.5. The maximum that will be reported as 28 will be 28.4999999.... ≈ 28.5
The maximum and minimum length of the sheet are 28.5 inches and 27.5 inches, respectively.
A clock is 12 hours.
11 hours and 38 minutes is 22 minutes short of being a full 12 hours.
In 12 hours the time would be 5:35 again, so now subtract 22 minutes from the time:
5:35 - 22 minutes = 5:13
In 11 hours and 38 minutes, the time will be 5:13
Answer:
The interval estimate is above 70%, so infer that it will be supported.
Step-by-step explanation:
The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.
Therefore we can infer that a fee increase will be supported.
