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pantera1 [17]
3 years ago
15

The intersections of 12th St., Constitutional Ave., and Pennsylvania Ave. in Washington, D.C. form a triangle. The Old Post Offi

ce is wedged in the 12th St. − Pennsylvania Ave. angle of this triangle. If the 12th St. − Constitutional Ave. angle measures 90°, and the Constitutional Ave. − Pennsylvania Ave. angle measures 30°, what is the measure of the angle the Old Post Office is wedged in?
Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

60°

It's a 30-60-90 triangle

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seropon [69]

Answer:

squars are all parallel and equal to 90

Step-by-step explanation:

b

5 0
3 years ago
Victoria has $2.90 in quarters, dimes and nickels. The numbers of nickels is one more than six times the number of quarters, and
maria [59]

Answer:

Step-by-step explanation:

She has 290 cents.

Nickels: 6x+1

Quarters: x

Dimes: 4x

Now that we've converted it algebraically, we can add them

6x+1 + x + 4x = 11x+1 = 290

11x = 289

x = 289/11

let me know if incorrect, i will fix

8 0
3 years ago
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
3 years ago
Which function defines (g-f)(x)? <br><br><br><br><br><br> Plato
Ivanshal [37]

Answer:

C

Step-by-step explanation:

Attached Picture.......

5 0
2 years ago
Solve for 6x-14=16 in two-step Equations
balandron [24]
6x = 16 +14
6x = 30
30 / 6 =5
x= 5
8 0
3 years ago
Read 2 more answers
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