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4 years ago

How to show opposite sides on a parallelogram are congruent

Mathematics

1 answer:

Marta_Voda [28]4 years ago

8 0

Answer:

I am attaching a image to understand my proof.

Step-by-step explanation:

PROVE:-

AB = DC

AD = BC

∠ ABD = ∠ BDC (alternate angles are equal )

∠ DBC = ∠ ADB (alternate angles are equal )

∴ Δ ADB ≅ Δ CBD ( by ASA rule )

DC = BA ( corresponding sides of ≅ Δ )

AD = CB ( corresponding sides of ≅ Δ )

Hence it is proved that opposite sides of parallelogram are congruent )

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What is the correlation coefficient for the data shown in the table?

xxTIMURxx [149]

Answer:

The correlation coefficient is -1

Step-by-step explanation:

Here, we want to get the correlation coefficient for the given dataset

from the table, what do we observe?

As x is increasing by 5 units;

y is decreasing by 5 units

What this mean is that there is a negative correlation between both

Thus, what we have here is that, since the rate of increase/decrease on both ends is of equal magnitude but opposite signs, we can conclude that the correlation coefficient is -1

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3 years ago

Read 2 more answers

Simplify the exponential expression.

olga_2 [115]

The solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

E = (v²)(m⁴)/(v²)(m³)

Divide v² by the same term v².

E = (m⁴)/(m³)

E = m

Therefore, the solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

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2 years ago

Question 12 options:

marshall27 [118]

Answer:

sdad

Step-by-step explanation:

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3 years ago

The number of text messages sent daily by a student is a poisson random variable with parameter λ=5 .in a class with 20 independ

Rudik [331]

This problem is a combination of the Poisson distribution and binomial distribution.

First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961

For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181

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4 years ago

Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................

Nataliya [291]

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
$\frac{1}{4}\div\frac{3}8}$

Step 1:
Rewrite it as
$\frac{\frac{1}{4}}{\frac{3}{8}}$ .

Step 2:
Multiply the numerator and the denominator by the reciprocal of
$\frac{3}{8}$ .

 $\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}$

Step 3:
Simplify the denominator
$\frac{\frac{1}{4}\times\frac{8}{3}}{1}$

Step 4:
Simplify the fraction
 $\frac{1}{4}\times\frac{8}{3}$ .

We complete the solution as follows:
 $\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}$

3 0

3 years ago