The range of the function given below is the set of all positive real numbers greater than 6. F(x)=6+2^x

Given: WXYZ is a parallelogram, ZX ≅ WY

Mrrafil [7]

Answer:

Step-by-step explanation:

Given: WXYZ is a parallelogram, ZX ≅ WY

Prove: WXYZ is a rectangle

Proof:

Step 1. WXYZ is a parallelogram and ZX ≅ WY (Given)

Step 2. ZY ≅ WX (Opposite sides of parallelogram are congruent)

Step 3. YX ≅ YX (Reflexive Property)

Step 4. Consider △ZYX and △WXY, we have

ZX ≅ WY (Given)

ZY ≅ WX (Opposite sides of parallelogram are congruent)

YX ≅ YX (Reflexive Property)

Thus, by SSS rule, △ZYX ≅ △WXY

Step 5. By CPCTC, ∠ZYX ≅ ∠WXY

Step 6. m∠ZYX ≅ m∠WXY (Definition of congruency)

Step 7. m∠ZYX + m∠WXY = 180° ( consecutive ∠s in a parallelogram are supplementary)

Step 8. m∠ZYX + m∠ZYX = 180° (Substitution)

Step 9. 2(m∠ZYX) = 180° (Simplification)

Step 10. m∠ZYX = 90° (Dividing property of equality)

Step 11. WXYZ is a rectangle (Rectangle angle theorem)

Hence proved.

5 0

2 years ago

8,000 is blank as 800

Alecsey [184]

8,000 is 10 times as much as 800

3 0

2 years ago

Read 2 more answers

What is 1.532 rounded to the nearest hundredth

Anni [7]

Answer:

1.53 would be the answer

Step-by-step explanation:

If you are rounding to the nearest hundredth you are rounding to the 2nd decimal place. Since the next number is under 5, we would just drop it.

8 0

2 years ago

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou

alukav5142 [94]

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

7 0

2 years ago

An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,

brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = $70+77+81+x\\= 228+x$

Average should exceed 70%

i.e. $\bar X \geq 70\\Total\geq 70(4) =280$

Comparing the two totals we have

$228+x\geq 280\\x\geq 280-228 = 52$

Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0

2 years ago