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Mekhanik [1.2K]
3 years ago
14

If the measure of each base angle of an isosceles triangle is represented by x, then the vertex angles is represented by

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

vertex angle = 180° - 2x

Step-by-step explanation:

Since, the measure of each base angle of an isosceles triangle is represented by x.

So, by interior angle sum postulate of a triangle, we have:

x + x + vertex angle = 180°

2x + vertex angle = 180°

vertex angle = 180° - 2x

So, the vertex angle is represented by (180° - 2x).

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Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

8 0
4 years ago
On Monday it rained two and one-half inches. On Tuesday it rained three and three-fourths inches. How much did it rain in the tw
charle [14.2K]

Answer:

it rained 6 1/4 or 6.25 inches in two days

3 0
3 years ago
A family read the odometer before starting a trip .It read 22900.6 and they know they will be driving 302.5 miles . What's will
AlexFokin [52]

Answer:

23,203.1

Step-by-step explanation:

Generally, an odometer measures distance traveled during the usage life cycle of a car. It is necessary to say the distance is measured cumulatively.

Now, to get the value the odometer will be reading after the trip, we need to add the present reading of the odometer to the new distance to be traveled.

Thus, the reading of the odometer after the trip will be 22900.6 + 302.5 = 23,203.1

7 0
4 years ago
Name the postulate or theorem you can use to prove the triangles congruent.
r-ruslan [8.4K]
The question is referred to a particular pair of triangles.

They are two "siamese" right triangles. The side that they share is the hypotenuse of both triangles.

The other sides that are marked as congruent are the heights of each triangle.

Then, you can use the Hypotenuse  Leg theorem to prove the congruence of both triangles.

The hypotenuse  leg theorem states that any two rigth triangles that have congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

3 0
3 years ago
What is the factored form of 6n4 – 24n3 + 18n?
enot [183]
6n^4-24n^3+18n
6n(n^3-4n^2+3)
6n(n-1)(n^2-3n-3)

8 0
4 years ago
Read 2 more answers
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