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3 years ago

Triangle DEF is a right triangle. Angle F is a right angle and m∠E=29°. What is m∠D?

Mathematics

2 answers:

Vikentia [17]3 years ago

8 0

Answer:

The Answer To Your Question Is 61

Step-by-step explanation:

Step One. 29 + 90 = 119

We Got 90 Because If Angle DEF Is A Right Triangle That Means That A Right Triangle Is 90 Degrees.

Step Two 180 - 119 = 61

We Got 180 Because No Matter The Triangle Every Triangle Is 180 Degrees.

Your Answer To This Question Is 61 Degrees.

Hope I Helped You With This Question And Have A Nice Day (:

Aleksandr-060686 [28]3 years ago

5 0

All triangles have 180o in them when the 3 angles making them up are added together.

Givens

F = 90

E = 29

D = ???

Equation

<D + <E + <F = 180

Substitute and solve

<D + 90 + 29 = 180

<D + 119 = 180

<D = 180 - 119

<D = 61

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago

A spool of ribbon is 85 inches long. riley needs to cut strips of ribbon that are 17 inches long. what are the possible numbers

Varvara68 [4.7K]

Answer:

80/14=5.7 OR 5 14 IN.

Step-by-step explanation:

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3 years ago

Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of

SSSSS [86.1K]

Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

3 0

3 years ago

Write seven hundred two and six hundred fifty-six thousandths in standard form and in expanded form.

Naddik [55]

Standard Form: 702.656
Expanded Form: 700+2+0.6+0.05+0.006

7 0

3 years ago

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 10?

scoray [572]

Answer:

Step-by-step explanation:

since it is the slope form y = mx+b

b = y axis

so in order to go up you have to translate upwards

hope this helped ;)

8 0

3 years ago

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