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3 years ago

Write the converse of this statement.if two angles are both obtuse, the two angles are equal.

2 answers:

8 0

To form the <u>converse</u> of the <u>conditional statement</u>, interchange the <u>hypothesis</u> and the <u>conclusion</u>.

Given conditional statement: "if two angles are both obtuse, the two angles are equal".

Here,

hypotesis is: two angles are both obtuse,
conclusion is: two angles are equal.

Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".

inn [45]3 years ago

8 0

Answer:

The converse statement is:

If two angles are equal,the two angles are both obtuse.

Step-by-step explanation:

The converse of a conditional statement interchange the hypothesis and the conclusion.

The hypothesis is a statement that is a proposed explanation of a phenomenon and the conclusion is a statement that is drawn from the hypothesis and is a decision.

i.e. If p then q

where p is hypothesis and q is conclusion.

we are given statement as:

if two angles are both obtuse, the two angles are equal.

i.e. the Hypothesis(p) is: Two angles are both obtuse.

and conclusion(q) is: Two angles are equal.

Hence, the converse statement is:

If two angles are equal,the two angles are both obtuse.

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christy uses glass beads to make braclets and necklances it takes her 30 minutes to make a bracelet and 45 minites to make a nec

shtirl [24]

Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>

The given parameters can be represented in the following tabular form:

Bracelet (x) Necklace (y) Total

Labor (hour) 0.5 0.75 40

Profit 10 18

From the above table, we have the following:

Objective function:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

Because she wants to make at least 30 bracelets, we have:

x >= 30

So, we have:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

x >= 30

Express x >= 30 as equation

x = 30

Substitute x = 30 in 0.5x + 0.75y <= 40

0.5 * 30 + 0.75y <= 40

This gives

15 + 0.75y <= 40

Subtract 15 from both sides

0.75y <= 30

Divide by 0.75

y <= 40

Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

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4 0

1 year ago

Q4.

Levart [38]

Probabilities are used to determine the chances of an event

The probability of choosing a black counter is 0.6
The probability that both counters are white is 0.16

<h3>(a) Probability of selecting two blacks</h3>

The probability is given as:

$P(Black\ n\ Black)=0.36$

Apply probability formula

$P(Black) \times P(Black)=0.36$

Express as squares

$P(Black)^2=0.36$

Take the square root of both sides

$P(Black)=0.6$

Hence, the probability of choosing a black counter is 0.6

<h3>(b) Probability of selecting two white counters</h3>

In (a), we have:

$P(Black)=0.6$

Using the complement rule, we have:

$P(White) = 1 - P(Black)$

So, we have:

$P(White) = 1 -0.6$

Evaluate

$P(White) = 0.4$

The probability that both counters are white is then calculated as:

$P(White\ and\ White) = P(White) \times P(White)$

So, we have:

$P(White\ and\ White) =0.4 \times 0.4$

$P(White\ and\ White) =0.16$

Hence, the probability that both counters are white is 0.16