Answer:
27
Step-by-step explanation:
CDE is a right angle so the sum of CDF and FDE is equal to 90
2x + x + 9 = 90 add like terms
3x + 9 = 90 subtract 9 from both sides
3x = 81 divide both sides by 3
x = 27
The missing angles in the triangle is as follows:
- ∠1 = 62.5°
- ∠2 = 62.5°
- ∠3 = 55°
- ∠4 = 75°
- ∠5 = 50°
<h3>How to find the measure of angles in a triangle?</h3>
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
∠3 = 55 degrees (vertically opposite angles)
Vertically opposite angles are congruent to each other.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Using exterior angle theorem ,
105 = ∠5 + 55
∠5 = 105 - 55
∠5 = 50 degrees
∠4 = 180 - 50 - 55
∠4 = 75 degrees
Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.
Hence,
∠1 = ∠2 = x
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5 degrees.
Hence,
∠1 = ∠2 = 62.5 degrees.
learn more on angles here: brainly.com/question/28641859
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Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
Answer:
The probability is;
0.0000003645
Step-by-step explanation:
The probability of packages being early p is 90% = 0.9
The probability of packages being late q will be 1-p = 1-0.9 = 0.1
So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem
That will be;
P(X = 2) = 10 C 2 0.9^2 0.1^8
= 0.0000003645
Answer: x = 4
We're going to start off by combining liked terms, that'll make this easier to solve!
-2x + 23 = 4x - 1
Now, we're going to add -2 to both sides.
23 = 6x - 1
Next, add 1 to both sides.
24 = 6x
Then, divide both sides by 6.
x = 4
Let me know if you have any questions! :)