If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.
10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12
We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88
So angle ABD is equal to 88 degrees.
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Probability is the ratio of the times an event is likely to occur divided by the total possible events. In the case of our die, there are six possible events, and there is one likely event for each number with each roll, or 1/6. Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Answer:
Step-by-step explanation:
y-3 = 3(x+1)
The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other
<h3>What is a composite figure?</h3>
A composite figure is a figure that is produced from the combination of two geometric shapes together.
The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.
For the left-side right-angled triangle, we have:
13² = h² + 5²
h² = 13² - 5²
h = √(169-25)
h = 12
Recall from the diagram that:
h² = pq
∴
12² = 5x
x = 144/5
x ≅ 28 millimeters
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The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.
<h3>What is Exponential equation?</h3>
In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Here, given equation; (we are using n in place of t)
-5.e¹⁰ⁿ = -30
On dividing -5 both sides, we get
-5.e¹⁰ⁿ/-5 = -30/-5
e¹⁰ⁿ = 6
Taking 'ln' on both side, we get
10n = ln 6
n = (ln 6)/10
n = 1.791759/10
n = 0.179
Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.
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