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g100num [7]
2 years ago
13

I need help find the value of x

Mathematics
1 answer:
stiks02 [169]2 years ago
4 0
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.

x+100+x=180

x=the base angle measures since they are congruent.

100+x+x=180

Community Property of Addition

100+2x=180.

Added x+x as like terms to = 2x.

100-100+2x=180-100

Subtraction of 100 from both sides to cancel it out and move it.

2x=80

Subtraction operation

2x/2=80/2

Divided by 2 to cancel it out on both sides and move it.

x=40°.

Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.

2(40)+100=80+100=180.

So x=40
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Answer:

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Step-by-step explanation:

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The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962

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3 0
3 years ago
Write equivalent fractions for 2/5 and 1/3 that could be used to find the sum of the fractions.
faltersainse [42]
Hello,

Here is your answer:

The proper answers to your question is "4/10 and 3/9".

Here is how:

Both fractions can be reduce to the fractions given:

4/2=2
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&
3/3=1
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Your answers are 2/5 and 1/3!

If you need anymore help feel free to ask me!

Hope this helps!

4 0
4 years ago
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