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3 years ago

Is triangle abc ~ triangle def ?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

5 0

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

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If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make

Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

<u>Step-by-step explanation:</u>

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

3 x + 2 x = 5 x

Therefore, his work should be

5 x - 6 = 24

Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

5 x - 6 = 24

+ 6 = + 6

-----------------------

5 x = 30

Dividing 30 by 5, we get answer as '6'. Hence,

$x=\frac{30}{5}$ = 6

So, stated the above two are the mistakes found in carlos work.

4 0

3 years ago

3 pairs of $23.67 gloves. what is the unit price?

mihalych1998 [28]

Answer:

7.89 dollars

Step-by-step explanation:

The unit price would be the price of one pair of gloves.

So divide the total cost by the number of pairs bought.

23.67/3= 7.89

6 0

3 years ago

The perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x

BabaBlast [244]

$\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}$

4 0

3 years ago

A candy company claims that 18% of its plain candies are orange, and a sample of 200 such candies is randomly selected.a. Find t

notsponge [240]

It is given that the probability that the candles are orange is 18% so the value of p=0.18.

The sample of 200 is taken so n=200.

The mean is given by:

$\begin{gathered} \mu=np \\ \mu=200\times0.18 \\ \mu=36 \end{gathered}$

The standard deviation is calculated as:

$\begin{gathered} \sigma=\sqrt[]{np(1-p)} \\ \sigma=\sqrt[]{200\times0.18(1-0.18)} \\ \sigma\approx5.4332 \end{gathered}$

Hence the mean of number of orange candles is 36 and standard deviation is 5.4332.

7 0

1 year ago

What is the domain of the relation shown below ( 4,2),(1,1),(0,0),(1,-1),(4,-2)

gogolik [260]

Look at the first element of each point:

{4, 1, 0, 1} (do not write 4 twice, even tho' 4 shows up twice).

This is NOT a function, altho' it still is a relationship. Why? Because 4 shows up as an input twice. In the case of a function, no input shows up more than once.

7 0

3 years ago