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Andrei [34K]
3 years ago
15

Which is the slope of the line that passes through the points (3,17)(3,17) and (7,25)(7,25)?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
The slope is 2, because you subtract the points 3,17 from 7,25 to get 8/4/ Simplify that into 2. 
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Please Help!! What is the next step in the proof? Choose the most logical approach.
marta [7]

Answer:

statement D is correct.

<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>

<em>Reason: Vertical Angles Theorem</em>

Step-by-step explanation:

Given that

3 ≅ ∠7 and ∠4 ≅ ∠8

from statement 2 because they are corresponding angles.

∠8 ≅ ∠5

because its vertical angles

The vertical angles theorem is about angles that are opposite each other.

So,

∠4 ≅ ∠8 and ∠8 ≅ ∠5

which means

<h3> ∠4 ≅ ∠5 </h3>

Hence,

∠3 = ∠7

∠4 = ∠5

they are known as interior alternative angles.

7 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5 . If there were
Nitella [24]

Answer: 6456

Step-by-step explanation:

Ratio of yes to no= 7:5

Number if yes= 3766

Since total number of yes is 3766. To find the total number of votes, 3766 / (7/7+5)

= 3766/ (7/12)

= 3766 × 12/7

= 45192/7

= 6456

There were 6456 total votes

5 0
3 years ago
The input value 2.
Irina18 [472]
Your answer is 9.

Since you have

2(2)^2 you get 2(4) which is 8.

Then you have -3(2) which is -6.

Lastly you have the 7.

When you add it up you get.

9
5 0
3 years ago
Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
Afina-wow [57]

Answer:

B

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

E=\frac{C*r}{1-(1+r)^{-n}}

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31

So, the correct answer is B

3 0
3 years ago
A barometer falls from a weather balloon
8_murik_8 [283]

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

\sqrt{900} =\sqrt{t^{2}}

30=t

7 0
2 years ago
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