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Inessa05 [86]
4 years ago
7

Help please I can’t get past this question and I’ve looked everywhere for it and can’t find it. It’s one of those statements and

reasons questions.

Mathematics
1 answer:
MAXImum [283]4 years ago
3 0

Answer:

see below

Step-by-step explanation:

<1 and <2 are supplements

<3 and <4 are supplements

<1 is congruent to <4

∠1 + ∠2 = 180     definition of supplementary angles

∠3 + ∠4 = 180    definition of supplementary angles

 ∠1 + ∠2 = ∠3 + ∠4    transitive property of equality

 ∠1 = ∠4                      given

 ∠1 + ∠2 = ∠3 + ∠1     substitution property of equality

∠2 = ∠3                     subtraction property of equality

∠2 ≅ ∠4                   definition of congruent angles

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
4 years ago
What is the perimeter of this tile 6 in and 2 in
motikmotik

Answer:

16 inches

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

   =2(6+2)

   =2(8)

   = 16 inches

8 0
4 years ago
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consistin
amm1812

Answer:

(00)^{*} | (00)^{*}  1 (00)^{*}

Step-by-step explanation:

The best way would be to have 00 begin then a 1 and 00; starting with the possibility of 00 or 1 means that we might not get 1 in some formation.

6 0
3 years ago
Help me please......... ​
Rama09 [41]

Answer:

1. true 2. true 3.true 4. false 5. false

Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4

5 0
3 years ago
Can someone give me the answer with work to this problem?
77julia77 [94]

Answer:

x=10

Step-by-step explanation:

4x-18=3x-8

4x-3x=-8+18

x=10

6 0
3 years ago
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