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3 years ago

Please help if you know how to do the base angle theorem I could really use some help

Mathematics

1 answer:

jenyasd209 [6]3 years ago

7 0

Answer:

Step-by-step explanation:

<u>Isosceles Triangles</u>

The base angles of an isosceles triangle are those formed by the base and one leg of the triangle.

On the other side, the base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.

We are given an isosceles triangle with base angles 3x-11 and 2x+11. Applying the theorem as explained above:

3x - 11 = 2x + 11

Subtracting 2x:

x - 11 = 11

Adding 11:

x = 22

The base angles have a measure of

3x - 11 = 3*22 - 11 = 55°

Thus, the remaining angle of the triangle is:

y = 180° - 2*55° = 180° - 110° = 70°

x = 22°, y = 70°

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Which theorem or postulate proves the two triangles are similar

Alina [70]

Because all 3 sides are given for both triangles you can use the SSS theorem

5 0

3 years ago

Read 2 more answers

without actually performing the long division state whether 17 / 3125 will have a terminating decimal expansion or a non-termina

baherus [9]

Answer:

It is terminating decimal expansion.

Step-by-step explanation:

17/3125 is a terminating decimal expansion.

REASON:

If the factors of the denominator are in the form of 2^n 5^m then the rational number is a terminating decimal expansion otherwise it is recurring. Here n and m are non negative integers.

Proof:

Lets have a look on the solution of the given term.

17/1325

We will break the denominator in the factors:

If we multiply 5 five times than it will give us 1325.

17/1325 = 17/5^5 * 2^0 = 17/2^0 * 5^5

We know that any number with exponent zero = 1

∴ 2^0 = 1

So it satisfies our explanation that the factors of the denominator are in the form of 2^n * 5^m and n and m are non negative integers.

Thus this term has a terminating decimal expansion....

3 0

3 years ago

What is the mean absolute deviation of the data set?

Ronch [10]

Answer:

the mean absolute deviation of the data set is 2.

Step-by-step explanation:

To calculate the mean absolute deviation of a data set, we need to follow the following steps:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean (always keeping a possitive distance).

Step 3: Calculate the mean of the deviations.

Step 1: The mean of the data set is:

Mean = (12 + 10 + 10 + 8 + 6+ 7 + 7 + 12)/8 = 72/8 = 9

Step 2:

{12 -9, 10-9, 10-9, 9-8, 9-6, 9-7, 9-7, 12-9} = {3, 1, 1, 1, 3, 2, 2, 3}

Step 3: (3 + 1 + 1 + 1 + 3 + 2 + 2 + 3)/8 = 2

In conclusion, the mean absolute deviation of the data set is 2. Which corresponds to the option B.

5 0

3 years ago

Ms. Graves gave her class 124 minutes to read. Carrie read 5 and a 1/2 pages in that time. At what rate, in pages per ¼ of a day

Dmitrij [34]

Answer:

600 pages ithink I hope I helped

8 0

3 years ago

Please help! The answer is not A I got this question wrong.

Veronika [31]

Answer:

Right option is (D).

ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.

Step-by-step explanation:

We have given,

Two triangles ΔABC and ΔDBE such as :

$\frac{BD}{BA} =\frac{BE}{BC}$

This relation will contribute to side side similarity.

Also,

∠B = ∠B , This will contribute as an angle similarity .

So combining above two relations,

$\frac{BD}{BA} =\frac{BE}{BC}$

and ∠B = ∠B

we can conclude that the triangle ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.

Hence the right option is (C)

8 0

4 years ago