Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
Given:
Sample proportion = 85% = 0.85.
Confidence level (CL) = 90%.
Confidence interval (CI)
We want the confidence interval to be 5% or 0.05. Therefore
Because this number is less than 1, a default sample size of 30 (for the normal distribution) is recommended.
Answer: 30
The solutions of the equations for x are given as follows:
a. x = 36.
b. x = 15.
<h3>What is the solution for item a?</h3>
The equation for item a is given by:
x/3 - 5 = 7
Isolating x, we have that:
x/3 = 12
x = 3 x 12
x = 36.
<h3>What is the solution for item b?</h3>
The equation for item b is given by:
x/2 - 5 = 2.5
Isolating x, we have that:
x/2 = 7.5
x = 7.5 x 2
x = 15.
Hence the solutions are:
a. x = 36.
b. x = 15.
More can be learned about equations at brainly.com/question/25537936
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First, take half of the coefficient of 18x then square it.
18 / 2 = 9
9^2 = 81
So, D. 81 is the answer.
To find the angle Q we can us the sin law so:
So we can solve for Q so:
