Find the distance by taking the absolute value of the difference of the two numbers -12 and 19

1. What is the negation of the following: "If this triangle has two 45 degree angles then it is a right triangle."

meriva

Answer:

Let

p : this triangle has two 45 degree angles
q : it is a right triangle

Step-by-step explanation:

Denote

r : if this triangle has two 45 degree angles then it is a right triangle

Then, r can be written as follows

$p \rightarrow q$

Since $(p \rightarrow q) \iff (\neg p \lor q)$ is a tautology, you get

$\neg(p\rightarrow q)\iff\neg(\neg p \lor q)$

and given that

$\neg(p\rightarrow q)\iff(p \land \neg q) (\mbox{double negation and Morgan's Lows})$

it follows that the negation of r is

" this triangle has two 45 degree angles and it is not a right triangle".

Then, the correct answer is C.

5 0

4 years ago

PLS HELP ASAP!!!<br>ITS 25 POINTS PLEASE HELP ME!!!!!

natta225 [31]

Answer:

A

Step-by-step explanation:

Its simple

8 0

3 years ago

Read 2 more answers

(06.02) A linear function that represents the number of animals adopted from the shelter is compared to a different linear funct

irga5000 [103]

Answer:

1) These linear functions must not describe a pair of parallel lines.

2) Any intersection of two lines determines a point.

Step-by-step explanation:

Hi there!

Well, since no further details were given. Let's call the linear function that represents the number of animals adopted from the shelter $s(x)$ . And

the hours the volunteers work at the shelter each week $v(x)$

1) These linear functions must not describe a pair of parallel lines.

If these lines intersect, then their slope must be different.

$m_{s}\neq m_{v}\\e.g.\\m_{s}=2\\m_{v}=-2$

Equal slopes, parallel lines. Parallel lines, no intersection.

Different slopes, then there is an intersection at some point.

2) Any intersection of two lines determines a point. Let's find it.

So to find one common point equalize the two functions, then find the value for the x-coordinate. Plug it in one of the functions, e.g.

$2x+2=-2x+2 \rightarrow 4x=0 \therefore x=0\\2(0)+2=2 \Rightarrow (0,2)$

At the common point, both functions after inserted the same value in the Domain (x) return the same result for their respective Range set.

3 0

3 years ago

Give the digits in the tens place and the hundredths place.<br> 59.78<br> tens:<br> hundredths:

Roman55 [17]

Tens: 59

Hundredths: 78

Please give brainliest

4 0

1 year ago

To determine her power usage, Keri divides up her day into three parts: morning, afternoon, and evening. She then measures he

marusya05 [52]

Answer:

Stratified Sampling

Step-by-step explanation:

Since Keri divides the day into different strata and each unit is selected from each strata randomly. So, it is Stratified Sampling.

Further, In Stratified Sampling population is divided into several groups such that within the group it is homogeneous and between the group it is heterogeneous. And now a selection of each stratum and unit has an equal chance of selection.

3 0

3 years ago