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12345 [234]
3 years ago
10

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
hodyreva [135]3 years ago
6 0
<h3>Key points :-</h3>

✪ Both triangles will be proven similar by AA theorem i.e. Angle-Angle theorem.

✪ The symbol for similarity is ~.

✪ The symbol for congruency is ≅.

\rule{300pt}{2pt}

  • <em>D</em><em>e</em><em>t</em><em>a</em><em>i</em><em>l</em><em>e</em><em>d</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em>!</em><em>!</em>

\large{|\underline{\mathtt{\red{A}\blue{n}\orange{c}\pink{i}\blue{e}\purple{n}\green{t}\red{E}\blue{n}\orange{i}\green{g}\red{m}\purple{a}\pink{29}}}}

Anettt [7]3 years ago
4 0

Answer :

Both triangles will be proven similar by AA theorem  i.e. Angle-Angle theorem.

  • The symbol for similarity is ~.
  • The symbol for congruence is≅
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Basile [38]
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A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed
cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = 0.95*0.40\\=0.38

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

7 0
3 years ago
PLEASE HELP QUICK, I NEED IT
just olya [345]
We take the equation <span>d = -16t^2+12t</span> and subtract d from both sides to get
                                         0<span> = -16t^2+12t - d
We apply the quadratic formula to solve for t. With a = -16, b = 12, c = -d, we have
                                         t = [ -(12) </span><span>± √( 12^2 - 4(-16)(-d) ) ] / [2 * -16]</span>
                                           = [- 12 ± √(144-64d) ] / (-32)
                                           = [- 12 ± √16(9-4d)] / (-32)
                                           = [- 12 ± 4√(9-4d)] / (-32)
                                           = 3/8 ±√(9-4d) / 8
The answer to your question is t = 3/8 ±√(9-4d) / 8
5 0
4 years ago
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twelve students have an equally likely chance of being selected in a drawing at school. eight are girls and four are boys. what
andriy [413]

Answer:

33% chance

Step-by-step explanation:

there are 12 students total and there are two groups of students, boys and girls, 8 girls 4 boys so we take that and convert it to a fraction which would make 2/3 girls and 1/3 boys, so that would mean that boys have a 33% chance of being selected

8 0
3 years ago
A Boxerville Express commuter train leaves the station every 30 minutes. When Theo arrives at the station, a woman tells him she
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Answer: D

The answe is just simply D because of the minutes when it adds up is almost the same as MPH
4 0
3 years ago
Read 2 more answers
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