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3 years ago

Given the points (8,9) and (2,7) find the slope I need help

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

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GIVEN ∠ABC ≅ ∠DEF<br> ∠GHI ≅ ∠DEF<br> m∠ABC=m∠GHI

Alenkinab [10]

By the substitution property of equality, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)

<h3>Substitution property of equality</h3>

The <em>substitution property of equality</em> states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation

From the given information, we have that

∠ABC ≅ ∠DEF

and

∠GHI ≅ ∠DEF

By the substitution property, ∠ABC can be substituted for ∠DEF in the second equation

That is,

∠GHI ≅ ∠ABC

∴ ∠ABC ≅ ∠GHI

Hence, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)

Learn more on Substitution property of equality here: brainly.com/question/2279838

#SPJ1

5 0

2 years ago

Natalie and Preston would like to accumulate $25,000 at the end of 3.5 years for a future down payment on a house in Prescott. H

Brrunno [24]

Answer:

$7.4 should be deposited at the end of each week

Step-by-step explanation:

In this question, we are asked to calculate the principal amount that should be deposited to get a house of $25,000 at the interest and time given in the question

To solve this problem, we use the compound interest formula.

Mathematically;

A = P(1+ r/n) ^ nt

From the question, we identify the following;

A is the amount that is targeted which is the principal plus the targeted interest = $25,000 according to the question

P is the amount invested at the beginning which we are looking for

r is the rate which is 7.2% = 7.2/100 = 0.072

n is the number of times we compound per year which is 12 times( compounding is per month)

t is the number of years which is 3.5 years

To get the principal, we can rewrite the equation to be;

A/(1+r/n)^nt = P

25,000/(1 + 0.072/12)^(12 * 3.5) = P

P = 25,000/18.54 = $1,348

But the question asks how much to be deposited at the end of each week

The number of weeks in 3.5 years is 3.5 * 52 =182 weeks

Thus, the amount deposited at the end of each week will be 1,348/182 = $7.4

3 0

3 years ago

Divide: 1213 ÷ 9 = A)

kolezko [41]

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

4 0

3 years ago

The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,

lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

For x < 10 minutes

$z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68$

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) = 0.0465

7 0

3 years ago

If someone can help me out :D!

Nataliya [291]

Hello

Answer:

28.378

Explanation:

8 0

2 years ago

Read 2 more answers