Answer:
Angle x is 64 degrees. Angle y is 128.
Step-by-step explanation:
To find angle x:
In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.
To find angle y:
Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
Answer:
y = 2/3x
Step-by-step explanation:
So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.
3 = 2/3(2) + b
we multiply the denominator 3 by 2, then divide that by the numerator 2.
3 = 3 + b
subtract 3 from itself and from the opposite side of the equal side 3.
0 = b
in the end, there is no b for this equation. Our answer is
y = 2/3x
Answer:
x=-8.5.
Step-by-step explanation:
First, write an equation. Twice x (2x) plus 7 (+7) is the same as (=) negative ten (-10), or 2x+7=-10. To solve, first subtract 7 from both sides to get 2x=-17. Then, divide both sides by 2 (x=-8.5).
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma(
)
E(X)= 
= 
=6 weeks
V(x)= 
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, , , False)
P(
)
P(
)
P(
)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
To learn more about probability click here:
brainly.com/question/11234923
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