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hoa [83]
3 years ago
12

What is an equation of the line that passes through the point (-4,3) and has a slope of -1?

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0
Y=mx+b
plug in the point
3=-1*-4+b
3=4+b
b=-1
y=-1x-1
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A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr
Hoochie [10]

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

6 0
2 years ago
What equation can I use to find the side of a cube whose area is 729?
Tom [10]
#1 There is no area of a cube. There is only a volume.
#2 The formula is V = s^{3} where s is the side.

Substitute 729 in V since that is the volume.
729 = s^{3}

Take the cube root and you will get 9.

So the formula is V = s^{3} and the side is 9. 
8 0
3 years ago
An article reports "attendance dropped 8 precent this year, to 3800." What was the attendance before the drop?​
trasher [3.6K]

Answer:

approx 4130

Step-by-step explanation:

x * .92 = 3800

3800/.92 = 4130.43478261

4130 approx. attendance before drop

8 0
3 years ago
Read 2 more answers
Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i
telo118 [61]

Answer:

Step-by-step explanation:

a. The hypothesis of testing are

Null Hypothesis, H0: The health insurance coverage is independent of the size of the company.

Alternative hypothesis, H1: The health insurance coverage is not independent of the size of the company

The test statistics is calculated as

X² =  <u>∑(Ei - Oi)²</u>  ≅X²(r-1)(c-1)

        i      Ei

where Oi's are the observed values and Ei's are the expected values,

E= <u>row total × column total</u>

            total

The expected values are

        Sizeof the Company  

Health Insurance    Small   Medium Large Total

Yes                             42     63          84           189

No                              8             12          16           36

Total                      50    75                  100           225

Therefore, the test statistics is

X² =∑ (<u>Ei -Oi)² </u>=6.94 ≅  x²₂

      i       Ei

The critical value is found to be 5.99. Since test statistics > critical value, we reject H0 and conclude that the health insurance coverage is not independent of the size of the company.

The associated p-value is 0.031 (<0.05).

b. Percentage of employees lacking health insurance coverage is

Small 14/50 x 100 = 28%

Medium 10/75 x 100 = 13%

Large 12/100 x 100 = 12%

Hence depending on the above percentage, we can support the claim that the employees of small companies are more likely to lack health insurance coverage.

8 0
3 years ago
What is 1546 divided by 12
Flauer [41]
1546/12 = 128.3333333333333333333333333333333333333
8 0
3 years ago
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