All categories

3 years ago

Pls help and show workings.

Mathematics

1 answer:

nekit [7.7K]3 years ago

3 0

Answer:

$\huge\boxed{\tt{SSS}}$

Step-by-step explanation:

SSS (Side-Side-Side) Postulate can be used to prove the two triangles congruent.

Whole figure is a parallelogram which means that opposite sides are parallel and equal (or congruent).

So, Two of the sides can be proved congruent by that way.

The third side is common in both of the triangles which means that the third side is also congruent.

Hence, the two triangles are congruent by SSS postulate.

$\rule[225]{225}{2}$

Hope this helped!

You might be interested in

Mean mode median range

jenyasd209 [6]

Exactly, I'm so confused

5 0

3 years ago

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate

kirill [66]

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0 (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0

2 years ago

A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally di

Doss [256]

Answer:

a) P [ Z > 70 ] = 0.1075 or 10.75 %

b) P [ Z < 60 ] = 0.1038 or 10.38 %

c) P [ 55 ≤ Z ≤ 70 ] = 0.8882 or 88.82 %

Step-by-step explanation:

Normal Distribution μ = 65 and σ = 4

a) The probability of the car travels more than 70 miles per gallon is:

P [ Z > 70 ] = (Z-μ) ÷ σ ⇒ P [ Z > 70 ] = (70-65) ÷4 P [ Z > 70 ] = 1.25

the point 1.25 corresponds at values, from left tail up to 70 so we must go and look for the area for the point 1.24 which is 0.8925. Then we have the area or probability of all cars traveling up to 70 miles therefore we have to subtract 1 -0,8925

P [ Z > 70 ] = 0.1075 or 10.75 %

b)The probability of the car travels less than 60 miles per gallon is:

P [ Z < 60 ] = ( 60 - μ ) ÷ σ ⇒ P [ Z < 60 ] = (60-65)÷ 4 P [ Z < 60 ] = -1.25

Again -1.25 corresponds to 60 miles per gallon threfore we move to the left and find for point -1.26 which area is 0.1038 so

P [ Z < 60 ] = 0.1038 10.38 %

c) P [ 55 ≤ Z ≤ 70]

For point Z = 70 or 1.25 (case a above) P [ Z ≤ 70] = (70-65)÷4

P [ Z ≤ 70] = 1.25

In this case we got the whole area from the left tail up to 1.25

P [ Z ≤ 70] = 0.8944 (includes the area of the point from the left tail up to the point assocciated to 55 miles and for that reason we have to subtract that area)

P [ Z ≥ 55 ] = (55-65) ÷ 4 P [ Z ≥ 55 ] = -2.5 and the area is 0.0062

So P [ 55 ≤ Z ≤ 70 ] = 0.8944 - 0.0062 = 0.8882

8 0

4 years ago

2.3,2 4/5, 2.6 from least to greatest

Alex777 [14]

Hello there!

Least to greatest of these problem

For the fractions you can simplify it make it easier for you to solve these types of problems

Anyhow!

Let's find our answer, shall we?

$2.3 = 2.3 \\ \\ 2\frac{4}{5} = \frac{14}{5} = 2.8 \\ \\ 2.6 = 2.6$

Our answer: $2.3 \\ 2.6 \\ 2\frac{4}{5}$

4 0

3 years ago

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?Expl

MariettaO [177]

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

6 0

3 years ago