Answer:
x = 16
m<R = 34°
Step-by-step explanation:
▪︎Its an isoceles triangle, so the two opposite angles are equal. m<S = <T.
▪︎So, you write them equal to each other and solve the linear equation to find <em>x</em><em>.</em><em> </em>
▪︎Substitute the x value into any of the angles and multiply by 2, (as they are equal) to find the sum, which is 146°.
▪︎Sum of all angles in a triangle is 180°,so
146° + m< R =180°
▪︎than minus 146° from 180°.
▪︎And you will have your answer.
Step-by-step explanation:
It is 28°
Because both triangles FED and ABC are right (converse of pythagorean theorem)
Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle
You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)
This will also be the measure of angle D
I'm not sure if it is right but hopefully it will help you.
We will use binomial
distribution in this problem.
<span>The solution would be like
this for this specific problem:
</span><span>P(default) = p = 4% = 0.04 </span><span>
<span>q = 1-p = 1-0.04 = 0.96 </span>
n = 5</span>
<span>P(r) = nCr*q^(n-r)*p^r </span>
<span>Required probability =
P(r=2) = 5C2*0.96^3*0.04^2 </span>
= 0.0142 OR 1.42%
<span>The probability that at most
two customers in the sample will default on their payments is 1.42%.</span>
Answer:
This product is 6.2(3c + 8)
Step-by-step explanation:
This product is 6.2(3c + 8). The factors are 6 and (3c + 8).
DE and EF are segments of the line DF, so they will add up to DF. This can be represented with this equation:
Combine like terms:
Add 15 to both sides:
Subtract 6x from both sides:
Divide both sides by 3 to get x by itself:
The value of x will be 8.
Plug this value of x into the expression for DF:
DF will equal 57.