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Nostrana [21]
3 years ago
15

Identify the correct ways to classify ∠1 and ∠4 in the figure shown below.

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer: yes

Step-by-step explanation:

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Factor out the 5. 5(x - 6)
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Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)
Georgia [21]
(-2,7) and (14,21)

Find the slope by using the formula m =  \frac{y2 - y1}{x2 - x1}

Plug in the numbers. m = \frac{21 - 7}{14 - - 2} 
 \\  m= \frac{14}{16}  =  \frac{7}{8} 


Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
   + 7            +7

y = 7/8x + 8.75

Our final equation would be: <span>y = 7/8x + 8.75</span>

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If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth
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Answer:

126807 people

Step-by-step explanation:

Given;

P= Poe^ht

Where;

P= population at time t

Po= population at the beginning

h= growth constant

t= time

1998- 2008 is ten years.

110429= 100,000e^10h

1.1 = e^10h

ln(1.1) = lne^10h

0.095 = 10h

h= 0.0095

In 2023, t = 25 years

P= 100,000e^(0.0095 × 25)

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5 0
3 years ago
A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the bas
Ber [7]

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We use trigonometry to find x, particularly the cosine function.

cos(29.37°) = x/32

cos(29.37°)(32) = x

27.8870633052 = x

We now round off to the nearest hundredths, which means to two decimal places.

27.89 feet = x

4 0
3 years ago
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Sound travels at a rate of 344 meters in 1 second. How many meters does it travel in 1 minute?
erma4kov [3.2K]

Answer:

2064 meters

Step-by-step explanation:

344*6=2064

8 0
3 years ago
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